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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<div id="projectname">PISM, A Parallel Ice Sheet Model
 <span id="projectnumber">stable v2.1.1 committed by Constantine Khrulev on 2024-12-04 13:36:58 -0900</span>
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<li class="navelem"><a class="el" href="dir_68267d1309a1af8e8297ef4c3efbcdba.html">src</a></li><li class="navelem"><a class="el" href="dir_337d79c4e85232f0487076e092bb4774.html">stressbalance</a></li><li class="navelem"><a class="el" href="dir_c9b2b73883624fafb10ae5f85b13ba58.html">blatter</a></li><li class="navelem"><a class="el" href="dir_f28e374c12bd1d8d4a5cdae6d0036dbc.html">verification</a></li> </ul>
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<a href="BlatterTestXZ_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/* Copyright (C) 2020, 2022, 2023 PISM Authors</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * This file is part of PISM.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * PISM is free software; you can redistribute it and/or modify it under the</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * terms of the GNU General Public License as published by the Free Software</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * Foundation; either version 3 of the License, or (at your option) any later</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * version.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * PISM is distributed in the hope that it will be useful, but WITHOUT ANY</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> * WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * FOR A PARTICULAR PURPOSE. See the GNU General Public License for more</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * details.</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * You should have received a copy of the GNU General Public License</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * along with PISM; if not, write to the Free Software</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment">*/</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include "pism/stressbalance/blatter/verification/BlatterTestXZ.hh"</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="preprocessor">#include "pism/rheology/IsothermalGlen.hh"</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "pism/stressbalance/blatter/verification/manufactured_solutions.hh"</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">namespace </span><a class="code" href="namespacepism.html">pism</a> {</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="keyword">namespace </span>stressbalance {</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BlatterTestXZ_a62fabf376eef310d200b7ad9d9df42ac.html#a62fabf376eef310d200b7ad9d9df42ac"> 29</a></span> <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_a62fabf376eef310d200b7ad9d9df42ac.html#a62fabf376eef310d200b7ad9d9df42ac">BlatterTestXZ::BlatterTestXZ</a>(std::shared_ptr<const Grid> grid,</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keywordtype">int</span> Mz, <span class="keywordtype">int</span> coarsening_factor)</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  : <a class="code" href="classpism_1_1stressbalance_1_1Blatter.html">Blatter</a>(grid, Mz, coarsening_factor) {</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="comment">// use the isothermal Glen flow law</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="classpism_1_1stressbalance_1_1ShallowStressBalance_a6b739e49bbd63df7def997aafdd55d0d.html#a6b739e49bbd63df7def997aafdd55d0d">m_flow_law</a>.reset(<span class="keyword">new</span> <a class="code" href="classpism_1_1rheology_1_1IsothermalGlen.html">rheology::IsothermalGlen</a>(<span class="stringliteral">"stress_balance.blatter."</span>, *<a class="code" href="classpism_1_1Component_a28f298fc2133baae8cebf9dedf3b4d84.html#a28f298fc2133baae8cebf9dedf3b4d84">m_config</a>, <a class="code" href="classpism_1_1stressbalance_1_1ShallowStressBalance_ad08f0eae9ab20e9a29059ebc14931735.html#ad08f0eae9ab20e9a29059ebc14931735">m_EC</a>));</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="comment">// make sure we use the same Glen exponent</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  assert(<a class="code" href="classpism_1_1stressbalance_1_1ShallowStressBalance_a6b739e49bbd63df7def997aafdd55d0d.html#a6b739e49bbd63df7def997aafdd55d0d">m_flow_law</a>->exponent() == 3.0);</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  </div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="comment">// make sure the grid is periodic in the Y direction</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  assert(<a class="code" href="classpism_1_1Component_a745aa37bc1b5da6db5bfc280ecb3c811.html#a745aa37bc1b5da6db5bfc280ecb3c811">m_grid</a>->periodicity() == <a class="code" href="namespacepism_1_1grid_a368298223e3f3828fa1e4dcae12fbd3e.html#a368298223e3f3828fa1e4dcae12fbd3ea1f9bcf63b31683da22bcbcc6c03d4af2">grid::Y_PERIODIC</a>);</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="comment">// store constant ice softness (enthalpy and pressure values are irrelevant)</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ae47a90d32c9544a78ae460f654f020fd.html#ae47a90d32c9544a78ae460f654f020fd">m_A</a> = <a class="code" href="classpism_1_1stressbalance_1_1ShallowStressBalance_a6b739e49bbd63df7def997aafdd55d0d.html#a6b739e49bbd63df7def997aafdd55d0d">m_flow_law</a>->softness(1e5, 0);</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  </div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="comment">// surface elevation parameter (1/m)</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab0be18743ac0ade26ab203a44cf08e92.html#ab0be18743ac0ade26ab203a44cf08e92">m_alpha</a> = 4e-8;</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="comment">// surface elevation parameter (m)</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aa402856e6904e9f15fde2d139d20e3e3.html#aa402856e6904e9f15fde2d139d20e3e3">m_s0</a> = 2000.0;</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="comment">// ice thickness (m)</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab9c37a8d535f60407d358e31d1a7fb9c.html#ab9c37a8d535f60407d358e31d1a7fb9c">m_H0</a> = 1000.0;</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="comment">// sliding parameter</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aecf61d07dda99179121ed8bbb39b48e7.html#aecf61d07dda99179121ed8bbb39b48e7">m_beta</a> = <a class="code" href="namespacepism_1_1units_aae3f4db8a6a2365e607a699bc61a5077.html#aae3f4db8a6a2365e607a699bc61a5077">convert</a>(<a class="code" href="classpism_1_1Component_a08f6b5a8e759c471d1a003804a8160ad.html#a08f6b5a8e759c471d1a003804a8160ad">m_sys</a>, 1.0, <span class="stringliteral">"kPa year m-1"</span>, <span class="stringliteral">"Pa s m-1"</span>);</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  </div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aedcd32cc777c50a8180ca39ba9f10ce3.html#aedcd32cc777c50a8180ca39ba9f10ce3">m_rho</a> = <a class="code" href="classpism_1_1Component_a28f298fc2133baae8cebf9dedf3b4d84.html#a28f298fc2133baae8cebf9dedf3b4d84">m_config</a>->get_number(<span class="stringliteral">"constants.ice.density"</span>);</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_a9645f0f26e22269767ef8b7444507bb7.html#a9645f0f26e22269767ef8b7444507bb7">m_g</a> = <a class="code" href="classpism_1_1Component_a28f298fc2133baae8cebf9dedf3b4d84.html#a28f298fc2133baae8cebf9dedf3b4d84">m_config</a>->get_number(<span class="stringliteral">"constants.standard_gravity"</span>);</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> }</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aae452cb6f746be5b1287c544eb1cedd0.html#aae452cb6f746be5b1287c544eb1cedd0"> 61</a></span> <span class="keywordtype">bool</span> <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aae452cb6f746be5b1287c544eb1cedd0.html#aae452cb6f746be5b1287c544eb1cedd0">BlatterTestXZ::marine_boundary</a>(<span class="keywordtype">int</span> face,</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> *node_type,</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> *ice_bottom,</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> *sea_level) {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  (void) face;</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  (void) node_type;</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  (void) ice_bottom;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  (void) sea_level;</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  </div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> }</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  </div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BlatterTestXZ_afa7812d7472e676fd0cdc471e08aab5c.html#afa7812d7472e676fd0cdc471e08aab5c"> 73</a></span> <span class="keywordtype">bool</span> <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_afa7812d7472e676fd0cdc471e08aab5c.html#afa7812d7472e676fd0cdc471e08aab5c">BlatterTestXZ::dirichlet_node</a>(<span class="keyword">const</span> DMDALocalInfo &info,</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keyword">const</span> <a class="code" href="structpism_1_1fem_1_1Element3_1_1GlobalIndex.html">fem::Element3::GlobalIndex</a>& <a class="code" href="ssafd__code_8cc_a87ae798803dece6c82b4e7cb734f4cc3.html#a87ae798803dece6c82b4e7cb734f4cc3">I</a>) {</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="comment">// use Dirichlet BC at x == -Lx and x == Lx</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">return</span> (<a class="code" href="ssafd__code_8cc_a87ae798803dece6c82b4e7cb734f4cc3.html#a87ae798803dece6c82b4e7cb734f4cc3">I</a>.i == 0 or <a class="code" href="ssafd__code_8cc_a87ae798803dece6c82b4e7cb734f4cc3.html#a87ae798803dece6c82b4e7cb734f4cc3">I</a>.i == info.mx - 1);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> }</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  </div>
<div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aac583a58a8e65019d9027398a9230cd0.html#aac583a58a8e65019d9027398a9230cd0"> 79</a></span> <a class="code" href="classpism_1_1Vector2d.html">Vector2d</a> <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aac583a58a8e65019d9027398a9230cd0.html#aac583a58a8e65019d9027398a9230cd0">BlatterTestXZ::u_bc</a>(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y, <span class="keywordtype">double</span> z)<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  (void) y;</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">return</span> <a class="code" href="namespacepism_aab69f6f524db486ec6ffbc1e3d08e29c.html#aab69f6f524db486ec6ffbc1e3d08e29c">blatter_xz_exact</a>(x, z, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ae47a90d32c9544a78ae460f654f020fd.html#ae47a90d32c9544a78ae460f654f020fd">m_A</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aedcd32cc777c50a8180ca39ba9f10ce3.html#aedcd32cc777c50a8180ca39ba9f10ce3">m_rho</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_a9645f0f26e22269767ef8b7444507bb7.html#a9645f0f26e22269767ef8b7444507bb7">m_g</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aa402856e6904e9f15fde2d139d20e3e3.html#aa402856e6904e9f15fde2d139d20e3e3">m_s0</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab0be18743ac0ade26ab203a44cf08e92.html#ab0be18743ac0ade26ab203a44cf08e92">m_alpha</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab9c37a8d535f60407d358e31d1a7fb9c.html#ab9c37a8d535f60407d358e31d1a7fb9c">m_H0</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aecf61d07dda99179121ed8bbb39b48e7.html#aecf61d07dda99179121ed8bbb39b48e7">m_beta</a>);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> }</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  </div>
<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab631adb03667d9a5605a7f6f073ff0bd.html#ab631adb03667d9a5605a7f6f073ff0bd"> 85</a></span> <span class="keywordtype">void</span> <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab631adb03667d9a5605a7f6f073ff0bd.html#ab631adb03667d9a5605a7f6f073ff0bd">BlatterTestXZ::residual_source_term</a>(<span class="keyword">const</span> <a class="code" href="classpism_1_1fem_1_1Q1Element3.html">fem::Q1Element3</a> &element,</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> *surface,</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> *bed,</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <a class="code" href="classpism_1_1Vector2d.html">Vector2d</a> *residual) {</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  (void) surface;</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  (void) bed;</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="comment">// compute x and z coordinates of quadrature points</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordtype">double</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  *x = <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">m_work</a>[0],</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  *z = <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">m_work</a>[1];</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  {</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordtype">double</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  *x_nodal = <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">m_work</a>[2],</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  *z_nodal = <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">m_work</a>[3];</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a> = 0; <a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a> < <a class="code" href="namespacepism_1_1fem_1_1q13d_a15a7b2ec0e759c45002166d1bd5fb683.html#a15a7b2ec0e759c45002166d1bd5fb683">fem::q13d::n_chi</a>; ++<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>) {</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  x_nodal[<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>] = element.<a class="code" href="classpism_1_1fem_1_1Q1Element3_ab394ee4c15298be4ac683ec753dcd1a2.html#ab394ee4c15298be4ac683ec753dcd1a2">x</a>(<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  z_nodal[<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>] = element.<a class="code" href="classpism_1_1fem_1_1Q1Element3_a900ece9c8b28cd0ae599adbfc1270c4e.html#a900ece9c8b28cd0ae599adbfc1270c4e">z</a>(<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  element.<a class="code" href="classpism_1_1fem_1_1Element3_af5f4a069cc786638faafd5f64d2c7c6c.html#af5f4a069cc786638faafd5f64d2c7c6c">evaluate</a>(x_nodal, x);</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  element.<a class="code" href="classpism_1_1fem_1_1Element3_af5f4a069cc786638faafd5f64d2c7c6c.html#af5f4a069cc786638faafd5f64d2c7c6c">evaluate</a>(z_nodal, z);</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  }</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  </div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="comment">// loop over all quadrature points</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> q = 0; q < element.<a class="code" href="classpism_1_1fem_1_1Element_a1af66cdd53a971453f25b3d737563d98.html#a1af66cdd53a971453f25b3d737563d98">n_pts</a>(); ++q) {</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keyword">auto</span> W = element.<a class="code" href="classpism_1_1fem_1_1Element_a5f4d7ce48b4da973dc653cb59695591f.html#a5f4d7ce48b4da973dc653cb59695591f">weight</a>(q) / <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a0ba9514fbaf1c3c82e2f1a60a99ff0b6.html#a0ba9514fbaf1c3c82e2f1a60a99ff0b6">m_scaling</a>;</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">// loop over all test functions</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t < element.<a class="code" href="classpism_1_1fem_1_1Element_a1bfd3a4d4d224ace5a1ae50acb51cb30.html#a1bfd3a4d4d224ace5a1ae50acb51cb30">n_chi</a>(); ++t) {</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keyword">const</span> <span class="keyword">auto</span> &psi = element.<a class="code" href="classpism_1_1fem_1_1Element_a16974b10e3fc2e52c8443bbf4d49642e.html#a16974b10e3fc2e52c8443bbf4d49642e">chi</a>(q, t);</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  </div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  residual[t] += W * psi.val * <a class="code" href="namespacepism_a9344391d53d590af92b9a36639917818.html#a9344391d53d590af92b9a36639917818">blatter_xz_source</a>(x[q], z[q], <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ae47a90d32c9544a78ae460f654f020fd.html#ae47a90d32c9544a78ae460f654f020fd">m_A</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aedcd32cc777c50a8180ca39ba9f10ce3.html#aedcd32cc777c50a8180ca39ba9f10ce3">m_rho</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_a9645f0f26e22269767ef8b7444507bb7.html#a9645f0f26e22269767ef8b7444507bb7">m_g</a>,</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aa402856e6904e9f15fde2d139d20e3e3.html#aa402856e6904e9f15fde2d139d20e3e3">m_s0</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab0be18743ac0ade26ab203a44cf08e92.html#ab0be18743ac0ade26ab203a44cf08e92">m_alpha</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab9c37a8d535f60407d358e31d1a7fb9c.html#ab9c37a8d535f60407d358e31d1a7fb9c">m_H0</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aecf61d07dda99179121ed8bbb39b48e7.html#aecf61d07dda99179121ed8bbb39b48e7">m_beta</a>);</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  }</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  }</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> }</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment"></span> </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment">/*!</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="comment"> * Basal contribution to the residual.</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aa665069f527b0e1c423703051e88289e.html#aa665069f527b0e1c423703051e88289e"> 127</a></span> <span class="keywordtype">void</span> <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aa665069f527b0e1c423703051e88289e.html#aa665069f527b0e1c423703051e88289e">BlatterTestXZ::residual_basal</a>(<span class="keyword">const</span> <a class="code" href="classpism_1_1fem_1_1Q1Element3.html">fem::Q1Element3</a> &element,</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keyword">const</span> <a class="code" href="classpism_1_1fem_1_1Q1Element3Face.html">fem::Q1Element3Face</a> &face,</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> *tauc_nodal,</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> *f_nodal,</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keyword">const</span> <a class="code" href="classpism_1_1Vector2d.html">Vector2d</a> *u_nodal,</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="classpism_1_1Vector2d.html">Vector2d</a> *residual) {</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  </div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="comment">// The basal sliding BC contribution:</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a39cd08d084c883289ca2323c48a48474.html#a39cd08d084c883289ca2323c48a48474">Blatter::residual_basal</a>(element, face, tauc_nodal, f_nodal, u_nodal, residual);</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  </div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="comment">// Additional contribution needed to satisfy the manufactured solution:</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  {</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="comment">// compute x and z coordinates of quadrature points</span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordtype">double</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  *x = <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">m_work</a>[0],</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  *z = <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">m_work</a>[1];</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  {</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordtype">double</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  *x_nodal = <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">m_work</a>[2],</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  *z_nodal = <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">m_work</a>[3];</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a> = 0; <a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a> < <a class="code" href="namespacepism_1_1fem_1_1q13d_a15a7b2ec0e759c45002166d1bd5fb683.html#a15a7b2ec0e759c45002166d1bd5fb683">fem::q13d::n_chi</a>; ++<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>) {</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  x_nodal[<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>] = element.<a class="code" href="classpism_1_1fem_1_1Q1Element3_ab394ee4c15298be4ac683ec753dcd1a2.html#ab394ee4c15298be4ac683ec753dcd1a2">x</a>(<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>);</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  z_nodal[<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>] = element.<a class="code" href="classpism_1_1fem_1_1Q1Element3_a900ece9c8b28cd0ae599adbfc1270c4e.html#a900ece9c8b28cd0ae599adbfc1270c4e">z</a>(<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  }</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  face.<a class="code" href="classpism_1_1fem_1_1Q1Element3Face_aba08b569d043fc4b8e7e43773dd39a56.html#aba08b569d043fc4b8e7e43773dd39a56">evaluate</a>(x_nodal, x);</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  face.<a class="code" href="classpism_1_1fem_1_1Q1Element3Face_aba08b569d043fc4b8e7e43773dd39a56.html#aba08b569d043fc4b8e7e43773dd39a56">evaluate</a>(z_nodal, z);</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  }</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> q = 0; q < face.<a class="code" href="classpism_1_1fem_1_1Q1Element3Face_aef10ff39e40c33c1acbac188c7e81727.html#aef10ff39e40c33c1acbac188c7e81727">n_pts</a>(); ++q) {</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keyword">auto</span> W = face.<a class="code" href="classpism_1_1fem_1_1Q1Element3Face_a7017ac21fdb9724f1cd663e51e106f8a.html#a7017ac21fdb9724f1cd663e51e106f8a">weight</a>(q) / <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a0ba9514fbaf1c3c82e2f1a60a99ff0b6.html#a0ba9514fbaf1c3c82e2f1a60a99ff0b6">m_scaling</a>;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  </div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="comment">// loop over all test functions</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t < element.<a class="code" href="classpism_1_1fem_1_1Element_a1bfd3a4d4d224ace5a1ae50acb51cb30.html#a1bfd3a4d4d224ace5a1ae50acb51cb30">n_chi</a>(); ++t) {</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keyword">auto</span> psi = face.<a class="code" href="classpism_1_1fem_1_1Q1Element3Face_a831939666ea75833b7e8e67ae1ceb3ad.html#a831939666ea75833b7e8e67ae1ceb3ad">chi</a>(q, t);</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  residual[t] += - W * psi * <a class="code" href="namespacepism_ab1a85687b9e0658a32213f4d06d3bdb9.html#ab1a85687b9e0658a32213f4d06d3bdb9">blatter_xz_source_bed</a>(x[q], z[q], <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ae47a90d32c9544a78ae460f654f020fd.html#ae47a90d32c9544a78ae460f654f020fd">m_A</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aedcd32cc777c50a8180ca39ba9f10ce3.html#aedcd32cc777c50a8180ca39ba9f10ce3">m_rho</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_a9645f0f26e22269767ef8b7444507bb7.html#a9645f0f26e22269767ef8b7444507bb7">m_g</a>,</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aa402856e6904e9f15fde2d139d20e3e3.html#aa402856e6904e9f15fde2d139d20e3e3">m_s0</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab0be18743ac0ade26ab203a44cf08e92.html#ab0be18743ac0ade26ab203a44cf08e92">m_alpha</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab9c37a8d535f60407d358e31d1a7fb9c.html#ab9c37a8d535f60407d358e31d1a7fb9c">m_H0</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aecf61d07dda99179121ed8bbb39b48e7.html#aecf61d07dda99179121ed8bbb39b48e7">m_beta</a>);</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  }</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  }</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  }</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> }</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="comment"></span> </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment">/*!</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment"> * Top surface contribution to the residual.</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="classpism_1_1stressbalance_1_1BlatterTestXZ_acea50660915808d13689a393f66eb72a.html#acea50660915808d13689a393f66eb72a"> 174</a></span> <span class="keywordtype">void</span> <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_acea50660915808d13689a393f66eb72a.html#acea50660915808d13689a393f66eb72a">BlatterTestXZ::residual_surface</a>(<span class="keyword">const</span> <a class="code" href="classpism_1_1fem_1_1Q1Element3.html">fem::Q1Element3</a> &element,</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keyword">const</span> <a class="code" href="classpism_1_1fem_1_1Q1Element3Face.html">fem::Q1Element3Face</a> &face,</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <a class="code" href="classpism_1_1Vector2d.html">Vector2d</a> *residual) {</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  </div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="comment">// compute x and z coordinates of quadrature points</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keywordtype">double</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  *x = <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">m_work</a>[0],</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  *z = <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">m_work</a>[1];</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  {</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keywordtype">double</span></div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  *x_nodal = <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">m_work</a>[2],</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  *z_nodal = <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">m_work</a>[3];</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  </div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a> = 0; <a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a> < <a class="code" href="namespacepism_1_1fem_1_1q13d_a15a7b2ec0e759c45002166d1bd5fb683.html#a15a7b2ec0e759c45002166d1bd5fb683">fem::q13d::n_chi</a>; ++<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>) {</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  x_nodal[<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>] = element.<a class="code" href="classpism_1_1fem_1_1Q1Element3_ab394ee4c15298be4ac683ec753dcd1a2.html#ab394ee4c15298be4ac683ec753dcd1a2">x</a>(<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>);</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  z_nodal[<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>] = element.<a class="code" href="classpism_1_1fem_1_1Q1Element3_a900ece9c8b28cd0ae599adbfc1270c4e.html#a900ece9c8b28cd0ae599adbfc1270c4e">z</a>(<a class="code" href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a>);</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  }</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  </div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  face.<a class="code" href="classpism_1_1fem_1_1Q1Element3Face_aba08b569d043fc4b8e7e43773dd39a56.html#aba08b569d043fc4b8e7e43773dd39a56">evaluate</a>(x_nodal, x);</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  face.<a class="code" href="classpism_1_1fem_1_1Q1Element3Face_aba08b569d043fc4b8e7e43773dd39a56.html#aba08b569d043fc4b8e7e43773dd39a56">evaluate</a>(z_nodal, z);</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  }</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  </div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> q = 0; q < face.<a class="code" href="classpism_1_1fem_1_1Q1Element3Face_aef10ff39e40c33c1acbac188c7e81727.html#aef10ff39e40c33c1acbac188c7e81727">n_pts</a>(); ++q) {</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keyword">auto</span> W = face.<a class="code" href="classpism_1_1fem_1_1Q1Element3Face_a7017ac21fdb9724f1cd663e51e106f8a.html#a7017ac21fdb9724f1cd663e51e106f8a">weight</a>(q) / <a class="code" href="classpism_1_1stressbalance_1_1Blatter_a0ba9514fbaf1c3c82e2f1a60a99ff0b6.html#a0ba9514fbaf1c3c82e2f1a60a99ff0b6">m_scaling</a>;</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  </div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keyword">auto</span> <a class="code" href="namespacepism_a200b1c89a64c718f6b0f585508e55172.html#a200b1c89a64c718f6b0f585508e55172">F</a> = <a class="code" href="namespacepism_a3cf675ea4a3cfac373fa5109c9f58c71.html#a3cf675ea4a3cfac373fa5109c9f58c71">blatter_xz_source_surface</a>(x[q], z[q], <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ae47a90d32c9544a78ae460f654f020fd.html#ae47a90d32c9544a78ae460f654f020fd">m_A</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aedcd32cc777c50a8180ca39ba9f10ce3.html#aedcd32cc777c50a8180ca39ba9f10ce3">m_rho</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_a9645f0f26e22269767ef8b7444507bb7.html#a9645f0f26e22269767ef8b7444507bb7">m_g</a>,</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aa402856e6904e9f15fde2d139d20e3e3.html#aa402856e6904e9f15fde2d139d20e3e3">m_s0</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab0be18743ac0ade26ab203a44cf08e92.html#ab0be18743ac0ade26ab203a44cf08e92">m_alpha</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab9c37a8d535f60407d358e31d1a7fb9c.html#ab9c37a8d535f60407d358e31d1a7fb9c">m_H0</a>, <a class="code" href="classpism_1_1stressbalance_1_1BlatterTestXZ_aecf61d07dda99179121ed8bbb39b48e7.html#aecf61d07dda99179121ed8bbb39b48e7">m_beta</a>);</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  </div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <span class="comment">// loop over all test functions</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t < element.<a class="code" href="classpism_1_1fem_1_1Element_a1bfd3a4d4d224ace5a1ae50acb51cb30.html#a1bfd3a4d4d224ace5a1ae50acb51cb30">n_chi</a>(); ++t) {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keyword">auto</span> psi = face.<a class="code" href="classpism_1_1fem_1_1Q1Element3Face_a831939666ea75833b7e8e67ae1ceb3ad.html#a831939666ea75833b7e8e67ae1ceb3ad">chi</a>(q, t);</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  </div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  residual[t] += - W * psi * <a class="code" href="namespacepism_a200b1c89a64c718f6b0f585508e55172.html#a200b1c89a64c718f6b0f585508e55172">F</a>;</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  }</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  }</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> }</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  </div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> } <span class="comment">// end of namespace stressbalance</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> } <span class="comment">// end of namespace pism</span></div>
<div class="ttc" id="aclasspism_1_1Component_a08f6b5a8e759c471d1a003804a8160ad_html_a08f6b5a8e759c471d1a003804a8160ad"><div class="ttname"><a href="classpism_1_1Component_a08f6b5a8e759c471d1a003804a8160ad.html#a08f6b5a8e759c471d1a003804a8160ad">pism::Component::m_sys</a></div><div class="ttdeci">const units::System::Ptr m_sys</div><div class="ttdoc">unit system used by this component</div><div class="ttdef"><b>Definition:</b> <a href="Component_8hh_source.html#l00160">Component.hh:160</a></div></div>
<div class="ttc" id="aclasspism_1_1Component_a28f298fc2133baae8cebf9dedf3b4d84_html_a28f298fc2133baae8cebf9dedf3b4d84"><div class="ttname"><a href="classpism_1_1Component_a28f298fc2133baae8cebf9dedf3b4d84.html#a28f298fc2133baae8cebf9dedf3b4d84">pism::Component::m_config</a></div><div class="ttdeci">const Config::ConstPtr m_config</div><div class="ttdoc">configuration database used by this component</div><div class="ttdef"><b>Definition:</b> <a href="Component_8hh_source.html#l00158">Component.hh:158</a></div></div>
<div class="ttc" id="aclasspism_1_1Component_a745aa37bc1b5da6db5bfc280ecb3c811_html_a745aa37bc1b5da6db5bfc280ecb3c811"><div class="ttname"><a href="classpism_1_1Component_a745aa37bc1b5da6db5bfc280ecb3c811.html#a745aa37bc1b5da6db5bfc280ecb3c811">pism::Component::m_grid</a></div><div class="ttdeci">const std::shared_ptr< const Grid > m_grid</div><div class="ttdoc">grid used by this component</div><div class="ttdef"><b>Definition:</b> <a href="Component_8hh_source.html#l00156">Component.hh:156</a></div></div>
<div class="ttc" id="aclasspism_1_1Vector2d_html"><div class="ttname"><a href="classpism_1_1Vector2d.html">pism::Vector2d</a></div><div class="ttdoc">This class represents a 2D vector field (such as ice velocity) at a certain grid point.</div><div class="ttdef"><b>Definition:</b> <a href="Vector2d_8hh_source.html#l00029">Vector2d.hh:29</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Element3_af5f4a069cc786638faafd5f64d2c7c6c_html_af5f4a069cc786638faafd5f64d2c7c6c"><div class="ttname"><a href="classpism_1_1fem_1_1Element3_af5f4a069cc786638faafd5f64d2c7c6c.html#af5f4a069cc786638faafd5f64d2c7c6c">pism::fem::Element3::evaluate</a></div><div class="ttdeci">void evaluate(const T *x, T *vals, T *dx, T *dy, T *dz) const</div><div class="ttdoc">Given nodal values, compute the values and partial derivatives at the quadrature points.</div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00278">Element.hh:278</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Element_a16974b10e3fc2e52c8443bbf4d49642e_html_a16974b10e3fc2e52c8443bbf4d49642e"><div class="ttname"><a href="classpism_1_1fem_1_1Element_a16974b10e3fc2e52c8443bbf4d49642e.html#a16974b10e3fc2e52c8443bbf4d49642e">pism::fem::Element::chi</a></div><div class="ttdeci">const Germ & chi(unsigned int q, unsigned int k) const</div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00073">Element.hh:73</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Element_a1af66cdd53a971453f25b3d737563d98_html_a1af66cdd53a971453f25b3d737563d98"><div class="ttname"><a href="classpism_1_1fem_1_1Element_a1af66cdd53a971453f25b3d737563d98.html#a1af66cdd53a971453f25b3d737563d98">pism::fem::Element::n_pts</a></div><div class="ttdeci">int n_pts() const</div><div class="ttdoc">Number of quadrature points.</div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00080">Element.hh:80</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Element_a1bfd3a4d4d224ace5a1ae50acb51cb30_html_a1bfd3a4d4d224ace5a1ae50acb51cb30"><div class="ttname"><a href="classpism_1_1fem_1_1Element_a1bfd3a4d4d224ace5a1ae50acb51cb30.html#a1bfd3a4d4d224ace5a1ae50acb51cb30">pism::fem::Element::n_chi</a></div><div class="ttdeci">int n_chi() const</div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00065">Element.hh:65</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Element_a5f4d7ce48b4da973dc653cb59695591f_html_a5f4d7ce48b4da973dc653cb59695591f"><div class="ttname"><a href="classpism_1_1fem_1_1Element_a5f4d7ce48b4da973dc653cb59695591f.html#a5f4d7ce48b4da973dc653cb59695591f">pism::fem::Element::weight</a></div><div class="ttdeci">double weight(unsigned int q) const</div><div class="ttdoc">Weight of the quadrature point q</div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00085">Element.hh:85</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Q1Element3Face_a7017ac21fdb9724f1cd663e51e106f8a_html_a7017ac21fdb9724f1cd663e51e106f8a"><div class="ttname"><a href="classpism_1_1fem_1_1Q1Element3Face_a7017ac21fdb9724f1cd663e51e106f8a.html#a7017ac21fdb9724f1cd663e51e106f8a">pism::fem::Q1Element3Face::weight</a></div><div class="ttdeci">double weight(unsigned int q) const</div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00407">Element.hh:407</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Q1Element3Face_a831939666ea75833b7e8e67ae1ceb3ad_html_a831939666ea75833b7e8e67ae1ceb3ad"><div class="ttname"><a href="classpism_1_1fem_1_1Q1Element3Face_a831939666ea75833b7e8e67ae1ceb3ad.html#a831939666ea75833b7e8e67ae1ceb3ad">pism::fem::Q1Element3Face::chi</a></div><div class="ttdeci">const double & chi(unsigned int q, unsigned int k) const</div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00412">Element.hh:412</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Q1Element3Face_aba08b569d043fc4b8e7e43773dd39a56_html_aba08b569d043fc4b8e7e43773dd39a56"><div class="ttname"><a href="classpism_1_1fem_1_1Q1Element3Face_aba08b569d043fc4b8e7e43773dd39a56.html#aba08b569d043fc4b8e7e43773dd39a56">pism::fem::Q1Element3Face::evaluate</a></div><div class="ttdeci">void evaluate(const T *x, T *result) const</div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00427">Element.hh:427</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Q1Element3Face_aef10ff39e40c33c1acbac188c7e81727_html_aef10ff39e40c33c1acbac188c7e81727"><div class="ttname"><a href="classpism_1_1fem_1_1Q1Element3Face_aef10ff39e40c33c1acbac188c7e81727.html#aef10ff39e40c33c1acbac188c7e81727">pism::fem::Q1Element3Face::n_pts</a></div><div class="ttdeci">int n_pts() const</div><div class="ttdoc">Number of quadrature points.</div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00404">Element.hh:404</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Q1Element3Face_html"><div class="ttname"><a href="classpism_1_1fem_1_1Q1Element3Face.html">pism::fem::Q1Element3Face</a></div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00399">Element.hh:399</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Q1Element3_a900ece9c8b28cd0ae599adbfc1270c4e_html_a900ece9c8b28cd0ae599adbfc1270c4e"><div class="ttname"><a href="classpism_1_1fem_1_1Q1Element3_a900ece9c8b28cd0ae599adbfc1270c4e.html#a900ece9c8b28cd0ae599adbfc1270c4e">pism::fem::Q1Element3::z</a></div><div class="ttdeci">double z(int n) const</div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00374">Element.hh:374</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Q1Element3_ab394ee4c15298be4ac683ec753dcd1a2_html_ab394ee4c15298be4ac683ec753dcd1a2"><div class="ttname"><a href="classpism_1_1fem_1_1Q1Element3_ab394ee4c15298be4ac683ec753dcd1a2.html#ab394ee4c15298be4ac683ec753dcd1a2">pism::fem::Q1Element3::x</a></div><div class="ttdeci">double x(int n) const</div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00364">Element.hh:364</a></div></div>
<div class="ttc" id="aclasspism_1_1fem_1_1Q1Element3_html"><div class="ttname"><a href="classpism_1_1fem_1_1Q1Element3.html">pism::fem::Q1Element3</a></div><div class="ttdoc">3D Q1 element</div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00351">Element.hh:351</a></div></div>
<div class="ttc" id="aclasspism_1_1rheology_1_1IsothermalGlen_html"><div class="ttname"><a href="classpism_1_1rheology_1_1IsothermalGlen.html">pism::rheology::IsothermalGlen</a></div><div class="ttdoc">Isothermal Glen ice allowing extra customization.</div><div class="ttdef"><b>Definition:</b> <a href="IsothermalGlen_8hh_source.html#l00029">IsothermalGlen.hh:29</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_a62fabf376eef310d200b7ad9d9df42ac_html_a62fabf376eef310d200b7ad9d9df42ac"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_a62fabf376eef310d200b7ad9d9df42ac.html#a62fabf376eef310d200b7ad9d9df42ac">pism::stressbalance::BlatterTestXZ::BlatterTestXZ</a></div><div class="ttdeci">BlatterTestXZ(std::shared_ptr< const Grid > grid, int Mz, int coarsening_factor)</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8cc_source.html#l00029">BlatterTestXZ.cc:29</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_a9645f0f26e22269767ef8b7444507bb7_html_a9645f0f26e22269767ef8b7444507bb7"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_a9645f0f26e22269767ef8b7444507bb7.html#a9645f0f26e22269767ef8b7444507bb7">pism::stressbalance::BlatterTestXZ::m_g</a></div><div class="ttdeci">double m_g</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8hh_source.html#l00087">BlatterTestXZ.hh:87</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_aa402856e6904e9f15fde2d139d20e3e3_html_aa402856e6904e9f15fde2d139d20e3e3"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_aa402856e6904e9f15fde2d139d20e3e3.html#aa402856e6904e9f15fde2d139d20e3e3">pism::stressbalance::BlatterTestXZ::m_s0</a></div><div class="ttdeci">double m_s0</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8hh_source.html#l00081">BlatterTestXZ.hh:81</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_aa665069f527b0e1c423703051e88289e_html_aa665069f527b0e1c423703051e88289e"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_aa665069f527b0e1c423703051e88289e.html#aa665069f527b0e1c423703051e88289e">pism::stressbalance::BlatterTestXZ::residual_basal</a></div><div class="ttdeci">void residual_basal(const fem::Q1Element3 &element, const fem::Q1Element3Face &face, const double *tauc_nodal, const double *f_nodal, const Vector2d *u_nodal, Vector2d *residual)</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8cc_source.html#l00127">BlatterTestXZ.cc:127</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_aac583a58a8e65019d9027398a9230cd0_html_aac583a58a8e65019d9027398a9230cd0"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_aac583a58a8e65019d9027398a9230cd0.html#aac583a58a8e65019d9027398a9230cd0">pism::stressbalance::BlatterTestXZ::u_bc</a></div><div class="ttdeci">Vector2d u_bc(double x, double y, double z) const</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8cc_source.html#l00079">BlatterTestXZ.cc:79</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_aae452cb6f746be5b1287c544eb1cedd0_html_aae452cb6f746be5b1287c544eb1cedd0"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_aae452cb6f746be5b1287c544eb1cedd0.html#aae452cb6f746be5b1287c544eb1cedd0">pism::stressbalance::BlatterTestXZ::marine_boundary</a></div><div class="ttdeci">bool marine_boundary(int face, const int *node_type, const double *ice_bottom, const double *sea_level)</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8cc_source.html#l00061">BlatterTestXZ.cc:61</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_ab0be18743ac0ade26ab203a44cf08e92_html_ab0be18743ac0ade26ab203a44cf08e92"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab0be18743ac0ade26ab203a44cf08e92.html#ab0be18743ac0ade26ab203a44cf08e92">pism::stressbalance::BlatterTestXZ::m_alpha</a></div><div class="ttdeci">double m_alpha</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8hh_source.html#l00079">BlatterTestXZ.hh:79</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_ab631adb03667d9a5605a7f6f073ff0bd_html_ab631adb03667d9a5605a7f6f073ff0bd"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab631adb03667d9a5605a7f6f073ff0bd.html#ab631adb03667d9a5605a7f6f073ff0bd">pism::stressbalance::BlatterTestXZ::residual_source_term</a></div><div class="ttdeci">void residual_source_term(const fem::Q1Element3 &element, const double *surface, const double *bed, Vector2d *residual)</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8cc_source.html#l00085">BlatterTestXZ.cc:85</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_ab9c37a8d535f60407d358e31d1a7fb9c_html_ab9c37a8d535f60407d358e31d1a7fb9c"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_ab9c37a8d535f60407d358e31d1a7fb9c.html#ab9c37a8d535f60407d358e31d1a7fb9c">pism::stressbalance::BlatterTestXZ::m_H0</a></div><div class="ttdeci">double m_H0</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8hh_source.html#l00083">BlatterTestXZ.hh:83</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_acea50660915808d13689a393f66eb72a_html_acea50660915808d13689a393f66eb72a"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_acea50660915808d13689a393f66eb72a.html#acea50660915808d13689a393f66eb72a">pism::stressbalance::BlatterTestXZ::residual_surface</a></div><div class="ttdeci">void residual_surface(const fem::Q1Element3 &element, const fem::Q1Element3Face &face, Vector2d *residual)</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8cc_source.html#l00174">BlatterTestXZ.cc:174</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_ae47a90d32c9544a78ae460f654f020fd_html_ae47a90d32c9544a78ae460f654f020fd"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_ae47a90d32c9544a78ae460f654f020fd.html#ae47a90d32c9544a78ae460f654f020fd">pism::stressbalance::BlatterTestXZ::m_A</a></div><div class="ttdeci">double m_A</div><div class="ttdoc">constant ice hardness</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8hh_source.html#l00077">BlatterTestXZ.hh:77</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_aecf61d07dda99179121ed8bbb39b48e7_html_aecf61d07dda99179121ed8bbb39b48e7"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_aecf61d07dda99179121ed8bbb39b48e7.html#aecf61d07dda99179121ed8bbb39b48e7">pism::stressbalance::BlatterTestXZ::m_beta</a></div><div class="ttdeci">double m_beta</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8hh_source.html#l00089">BlatterTestXZ.hh:89</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_aedcd32cc777c50a8180ca39ba9f10ce3_html_aedcd32cc777c50a8180ca39ba9f10ce3"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_aedcd32cc777c50a8180ca39ba9f10ce3.html#aedcd32cc777c50a8180ca39ba9f10ce3">pism::stressbalance::BlatterTestXZ::m_rho</a></div><div class="ttdeci">double m_rho</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8hh_source.html#l00085">BlatterTestXZ.hh:85</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1BlatterTestXZ_afa7812d7472e676fd0cdc471e08aab5c_html_afa7812d7472e676fd0cdc471e08aab5c"><div class="ttname"><a href="classpism_1_1stressbalance_1_1BlatterTestXZ_afa7812d7472e676fd0cdc471e08aab5c.html#afa7812d7472e676fd0cdc471e08aab5c">pism::stressbalance::BlatterTestXZ::dirichlet_node</a></div><div class="ttdeci">bool dirichlet_node(const DMDALocalInfo &info, const fem::Element3::GlobalIndex &I)</div><div class="ttdef"><b>Definition:</b> <a href="BlatterTestXZ_8cc_source.html#l00073">BlatterTestXZ.cc:73</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1Blatter_a0ba9514fbaf1c3c82e2f1a60a99ff0b6_html_a0ba9514fbaf1c3c82e2f1a60a99ff0b6"><div class="ttname"><a href="classpism_1_1stressbalance_1_1Blatter_a0ba9514fbaf1c3c82e2f1a60a99ff0b6.html#a0ba9514fbaf1c3c82e2f1a60a99ff0b6">pism::stressbalance::Blatter::m_scaling</a></div><div class="ttdeci">double m_scaling</div><div class="ttdef"><b>Definition:</b> <a href="Blatter_8hh_source.html#l00082">Blatter.hh:82</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1Blatter_a39cd08d084c883289ca2323c48a48474_html_a39cd08d084c883289ca2323c48a48474"><div class="ttname"><a href="classpism_1_1stressbalance_1_1Blatter_a39cd08d084c883289ca2323c48a48474.html#a39cd08d084c883289ca2323c48a48474">pism::stressbalance::Blatter::residual_basal</a></div><div class="ttdeci">virtual void residual_basal(const fem::Q1Element3 &element, const fem::Q1Element3Face &face, const double *tauc_nodal, const double *f_nodal, const Vector2d *u_nodal, Vector2d *residual)</div><div class="ttdef"><b>Definition:</b> <a href="residual_8cc_source.html#l00163">residual.cc:163</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68_html_a6b88f6f0a040d7acd7c39cd8a19dad68"><div class="ttname"><a href="classpism_1_1stressbalance_1_1Blatter_a6b88f6f0a040d7acd7c39cd8a19dad68.html#a6b88f6f0a040d7acd7c39cd8a19dad68">pism::stressbalance::Blatter::m_work</a></div><div class="ttdeci">double m_work[m_n_work][m_Nq]</div><div class="ttdef"><b>Definition:</b> <a href="Blatter_8hh_source.html#l00108">Blatter.hh:108</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1Blatter_html"><div class="ttname"><a href="classpism_1_1stressbalance_1_1Blatter.html">pism::stressbalance::Blatter</a></div><div class="ttdef"><b>Definition:</b> <a href="Blatter_8hh_source.html#l00037">Blatter.hh:37</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1ShallowStressBalance_a6b739e49bbd63df7def997aafdd55d0d_html_a6b739e49bbd63df7def997aafdd55d0d"><div class="ttname"><a href="classpism_1_1stressbalance_1_1ShallowStressBalance_a6b739e49bbd63df7def997aafdd55d0d.html#a6b739e49bbd63df7def997aafdd55d0d">pism::stressbalance::ShallowStressBalance::m_flow_law</a></div><div class="ttdeci">std::shared_ptr< rheology::FlowLaw > m_flow_law</div><div class="ttdef"><b>Definition:</b> <a href="ShallowStressBalance_8hh_source.html#l00078">ShallowStressBalance.hh:78</a></div></div>
<div class="ttc" id="aclasspism_1_1stressbalance_1_1ShallowStressBalance_ad08f0eae9ab20e9a29059ebc14931735_html_ad08f0eae9ab20e9a29059ebc14931735"><div class="ttname"><a href="classpism_1_1stressbalance_1_1ShallowStressBalance_ad08f0eae9ab20e9a29059ebc14931735.html#ad08f0eae9ab20e9a29059ebc14931735">pism::stressbalance::ShallowStressBalance::m_EC</a></div><div class="ttdeci">EnthalpyConverter::Ptr m_EC</div><div class="ttdef"><b>Definition:</b> <a href="ShallowStressBalance_8hh_source.html#l00079">ShallowStressBalance.hh:79</a></div></div>
<div class="ttc" id="aexactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720_html_ad5228cd48403ef9d8b632f5c7c124720"><div class="ttname"><a href="exactTestM_8c_ad5228cd48403ef9d8b632f5c7c124720.html#ad5228cd48403ef9d8b632f5c7c124720">n</a></div><div class="ttdeci">#define n</div><div class="ttdef"><b>Definition:</b> <a href="exactTestM_8c_source.html#l00037">exactTestM.c:37</a></div></div>
<div class="ttc" id="anamespacepism_1_1fem_1_1q13d_a15a7b2ec0e759c45002166d1bd5fb683_html_a15a7b2ec0e759c45002166d1bd5fb683"><div class="ttname"><a href="namespacepism_1_1fem_1_1q13d_a15a7b2ec0e759c45002166d1bd5fb683.html#a15a7b2ec0e759c45002166d1bd5fb683">pism::fem::q13d::n_chi</a></div><div class="ttdeci">const int n_chi</div><div class="ttdoc">Number of shape functions on a Q1 element.</div><div class="ttdef"><b>Definition:</b> <a href="FEM_8hh_source.html#l00213">FEM.hh:213</a></div></div>
<div class="ttc" id="anamespacepism_1_1grid_a368298223e3f3828fa1e4dcae12fbd3e_html_a368298223e3f3828fa1e4dcae12fbd3ea1f9bcf63b31683da22bcbcc6c03d4af2"><div class="ttname"><a href="namespacepism_1_1grid_a368298223e3f3828fa1e4dcae12fbd3e.html#a368298223e3f3828fa1e4dcae12fbd3ea1f9bcf63b31683da22bcbcc6c03d4af2">pism::grid::Y_PERIODIC</a></div><div class="ttdeci">@ Y_PERIODIC</div><div class="ttdef"><b>Definition:</b> <a href="Grid_8hh_source.html#l00051">Grid.hh:51</a></div></div>
<div class="ttc" id="anamespacepism_1_1units_aae3f4db8a6a2365e607a699bc61a5077_html_aae3f4db8a6a2365e607a699bc61a5077"><div class="ttname"><a href="namespacepism_1_1units_aae3f4db8a6a2365e607a699bc61a5077.html#aae3f4db8a6a2365e607a699bc61a5077">pism::units::convert</a></div><div class="ttdeci">double convert(System::Ptr system, double input, const std::string &spec1, const std::string &spec2)</div><div class="ttdoc">Convert a quantity from unit1 to unit2.</div><div class="ttdef"><b>Definition:</b> <a href="Units_8cc_source.html#l00070">Units.cc:70</a></div></div>
<div class="ttc" id="anamespacepism_a200b1c89a64c718f6b0f585508e55172_html_a200b1c89a64c718f6b0f585508e55172"><div class="ttname"><a href="namespacepism_a200b1c89a64c718f6b0f585508e55172.html#a200b1c89a64c718f6b0f585508e55172">pism::F</a></div><div class="ttdeci">static double F(double SL, double B, double H, double alpha)</div><div class="ttdef"><b>Definition:</b> <a href="grounded__cell__fraction_8cc_source.html#l00225">grounded_cell_fraction.cc:225</a></div></div>
<div class="ttc" id="anamespacepism_a3cf675ea4a3cfac373fa5109c9f58c71_html_a3cf675ea4a3cfac373fa5109c9f58c71"><div class="ttname"><a href="namespacepism_a3cf675ea4a3cfac373fa5109c9f58c71.html#a3cf675ea4a3cfac373fa5109c9f58c71">pism::blatter_xz_source_surface</a></div><div class="ttdeci">Vector2d blatter_xz_source_surface(double x, double z, double A, double rho, double g, double s_0, double alpha, double H, double beta)</div><div class="ttdef"><b>Definition:</b> <a href="manufactured__solutions_8cc_source.html#l00072">manufactured_solutions.cc:72</a></div></div>
<div class="ttc" id="anamespacepism_a9344391d53d590af92b9a36639917818_html_a9344391d53d590af92b9a36639917818"><div class="ttname"><a href="namespacepism_a9344391d53d590af92b9a36639917818.html#a9344391d53d590af92b9a36639917818">pism::blatter_xz_source</a></div><div class="ttdeci">Vector2d blatter_xz_source(double x, double z, double A, double rho, double g, double s_0, double alpha, double H, double beta)</div><div class="ttdef"><b>Definition:</b> <a href="manufactured__solutions_8cc_source.html#l00043">manufactured_solutions.cc:43</a></div></div>
<div class="ttc" id="anamespacepism_aab69f6f524db486ec6ffbc1e3d08e29c_html_aab69f6f524db486ec6ffbc1e3d08e29c"><div class="ttname"><a href="namespacepism_aab69f6f524db486ec6ffbc1e3d08e29c.html#aab69f6f524db486ec6ffbc1e3d08e29c">pism::blatter_xz_exact</a></div><div class="ttdeci">Vector2d blatter_xz_exact(double x, double z, double A, double rho, double g, double s_0, double alpha, double H, double beta)</div><div class="ttdef"><b>Definition:</b> <a href="manufactured__solutions_8cc_source.html#l00035">manufactured_solutions.cc:35</a></div></div>
<div class="ttc" id="anamespacepism_ab1a85687b9e0658a32213f4d06d3bdb9_html_ab1a85687b9e0658a32213f4d06d3bdb9"><div class="ttname"><a href="namespacepism_ab1a85687b9e0658a32213f4d06d3bdb9.html#ab1a85687b9e0658a32213f4d06d3bdb9">pism::blatter_xz_source_bed</a></div><div class="ttdeci">Vector2d blatter_xz_source_bed(double x, double z, double A, double rho, double g, double s_0, double alpha, double H, double beta)</div><div class="ttdef"><b>Definition:</b> <a href="manufactured__solutions_8cc_source.html#l00057">manufactured_solutions.cc:57</a></div></div>
<div class="ttc" id="anamespacepism_html"><div class="ttname"><a href="namespacepism.html">pism</a></div><div class="ttdef"><b>Definition:</b> <a href="AgeColumnSystem_8cc_source.html#l00023">AgeColumnSystem.cc:23</a></div></div>
<div class="ttc" id="assafd__code_8cc_a87ae798803dece6c82b4e7cb734f4cc3_html_a87ae798803dece6c82b4e7cb734f4cc3"><div class="ttname"><a href="ssafd__code_8cc_a87ae798803dece6c82b4e7cb734f4cc3.html#a87ae798803dece6c82b4e7cb734f4cc3">I</a></div><div class="ttdeci">const int I[]</div><div class="ttdef"><b>Definition:</b> <a href="ssafd__code_8cc_source.html#l00024">ssafd_code.cc:24</a></div></div>
<div class="ttc" id="astructpism_1_1fem_1_1Element3_1_1GlobalIndex_html"><div class="ttname"><a href="structpism_1_1fem_1_1Element3_1_1GlobalIndex.html">pism::fem::Element3::GlobalIndex</a></div><div class="ttdef"><b>Definition:</b> <a href="Element_8hh_source.html#l00294">Element.hh:294</a></div></div>
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