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<a href="algebra__common_2core__smoothers_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">/*</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment"> * Copyright (c) 2010-2015: G-CSC, Goethe University Frankfurt</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment"> * Author: Martin Rupp</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment"> * </span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment"> * This file is part of UG4.</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment"> * </span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment"> * UG4 is free software: you can redistribute it and/or modify it under the</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment"> * terms of the GNU Lesser General Public License version 3 (as published by the</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment"> * Free Software Foundation) with the following additional attribution</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment"> * requirements (according to LGPL/GPL v3 §7):</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment"> * </span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment"> * (1) The following notice must be displayed in the Appropriate Legal Notices</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="comment"> * of covered and combined works: "Based on UG4 (www.ug4.org/license)".</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="comment"> * </span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="comment"> * (2) The following notice must be displayed at a prominent place in the</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="comment"> * terminal output of covered works: "Based on UG4 (www.ug4.org/license)".</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="comment"> * </span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="comment"> * (3) The following bibliography is recommended for citation and must be</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="comment"> * preserved in all covered files:</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="comment"> * "Reiter, S., Vogel, A., Heppner, I., Rupp, M., and Wittum, G. A massively</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="comment"> * parallel geometric multigrid solver on hierarchically distributed grids.</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="comment"> * Computing and visualization in science 16, 4 (2013), 151-164"</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="comment"> * "Vogel, A., Reiter, S., Rupp, M., Nägel, A., and Wittum, G. UG4 -- a novel</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="comment"> * flexible software system for simulating pde based models on high performance</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="comment"> * computers. Computing and visualization in science 16, 4 (2013), 165-179"</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="comment"> * </span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="comment"> * This program is distributed in the hope that it will be useful,</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="comment"> * GNU Lesser General Public License for more details.</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment"> */</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#ifndef __H__UG__CPU_ALGEBRA__CORE_SMOOTHERS__</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="preprocessor">#define __H__UG__CPU_ALGEBRA__CORE_SMOOTHERS__</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceug.html">ug</a></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span>{</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span><span class="comment">// gs_step_LL</span></div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span><span class="keyword">template</span><<span class="keyword">typename</span> Matrix_type, <span class="keyword">typename</span> Vector_type></div>
<div class="foldopen" id="foldopen00106" data-start="{" data-end="}">
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"><a class="line" href="group__lib__algebra.html#ga98970ee004dd8a19da9268ba651ffdce"> 106</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="group__lib__algebra.html#ga98970ee004dd8a19da9268ba651ffdce">gs_step_LL</a>(<span class="keyword">const</span> Matrix_type &A, Vector_type &c, <span class="keyword">const</span> Vector_type &d, <span class="keyword">const</span> <a class="code hl_typedef" href="group__ugbase__common.html#gaf349a0d1e8189254086eb3267fd4f460">number</a> relaxFactor)</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span>{</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="comment">// gs LL has preconditioning matrix N = (D-L)^{-1}</span></div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keyword">typedef</span> <span class="keyword">typename</span> Matrix_type::value_type matrix_block;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">typedef</span> <span class="keyword">typename</span> Matrix_type::const_row_iterator const_row_it;</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keyword">typename</span> Vector_type::value_type <a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a>;</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> sz = c.size();</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < sz; ++i)</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> {</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a> = d[i];</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="comment">// loop over all lower left matrix entries.</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// Note: Here the corrections c, which have already been computed in previous loops (wrt. i),</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="comment">// are taken to compute the i-th correction. For example the correction of the second row</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="comment">// is computed by s[2] = (d[2] - A[2][1] * c[1]); and c[2] = s[2]/A[2][2];</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">const</span> const_row_it rowEnd = A.end_row(i);</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> const_row_it it = A.begin_row(i);</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordflow">for</span>(; it != rowEnd && it.index() < i; ++it)</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="comment">// s -= it.value() * c[it.index()];</span></div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <a class="code hl_function" href="namespaceug.html#a6f1addfcc15e261ec19eca7c425d5d79">MatMultAdd</a>(<a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a>, 1.0, <a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a>, -1.0, it.value(), c[it.index()]);</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="comment">// c[i] = relaxFactor * s/A(i,i)</span></div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keyword">const</span> matrix_block& A_ii = it.index() == i ? it.value() : matrix_block(0);</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <a class="code hl_function" href="namespaceug.html#ae3578a2d24573312c4b9c35ebac65494">InverseMatMult</a>(c[i], relaxFactor, A_ii, <a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a>);</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> }</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span>}</div>
</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span><span class="comment">// gs_step_UR</span></div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span><span class="keyword">template</span><<span class="keyword">typename</span> Matrix_type, <span class="keyword">typename</span> Vector_type></div>
<div class="foldopen" id="foldopen00150" data-start="{" data-end="}">
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"><a class="line" href="group__lib__algebra.html#ga6cec366add5874b559c21b14321e6a25"> 150</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="group__lib__algebra.html#ga6cec366add5874b559c21b14321e6a25">gs_step_UR</a>(<span class="keyword">const</span> Matrix_type &A, Vector_type &c, <span class="keyword">const</span> Vector_type &d, <span class="keyword">const</span> <a class="code hl_typedef" href="group__ugbase__common.html#gaf349a0d1e8189254086eb3267fd4f460">number</a> relaxFactor)</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span>{</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="comment">// gs UR has preconditioning matrix N = (D-U)^{-1}</span></div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="keyword">typename</span> Vector_type::value_type <a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a>;</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> </div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordflow">if</span>(c.size() == 0) <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordtype">size_t</span> i = c.size()-1;</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keywordflow">do</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> {</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a> = d[i];</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keyword">typename</span> Matrix_type::const_row_iterator diag = A.get_connection(i, i);</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> </div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="keyword">typename</span> Matrix_type::const_row_iterator it = diag; ++it;</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keywordflow">for</span>(; it != A.end_row(i); ++it)</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <span class="comment">// s -= it.value() * x[it.index()];</span></div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <a class="code hl_function" href="namespaceug.html#a6f1addfcc15e261ec19eca7c425d5d79">MatMultAdd</a>(<a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a>, 1.0, <a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a>, -1.0, it.value(), c[it.index()]);</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="comment">// c[i] = relaxFactor * s/A(i,i)</span></div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <a class="code hl_function" href="namespaceug.html#ae3578a2d24573312c4b9c35ebac65494">InverseMatMult</a>(c[i], relaxFactor, diag.value(), <a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a>);</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> } <span class="keywordflow">while</span>(i-- != 0);</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> </div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span>}</div>
</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span><span class="comment">// sgs_step</span></div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span><span class="keyword">template</span><<span class="keyword">typename</span> Matrix_type, <span class="keyword">typename</span> Vector_type></div>
<div class="foldopen" id="foldopen00189" data-start="{" data-end="}">
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"><a class="line" href="group__lib__algebra.html#gae550d865ffb7730fde393ab5a1f83a4b"> 189</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="group__lib__algebra.html#gae550d865ffb7730fde393ab5a1f83a4b">sgs_step</a>(<span class="keyword">const</span> Matrix_type &A, Vector_type &c, <span class="keyword">const</span> Vector_type &d, <span class="keyword">const</span> <a class="code hl_typedef" href="group__ugbase__common.html#gaf349a0d1e8189254086eb3267fd4f460">number</a> relaxFactor)</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span>{</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="comment">// sgs has preconditioning matrix N = (D-U)^{-1} D (D-L)^{-1}</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> </div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="comment">// c1 = (D-L)^{-1} d</span></div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <a class="code hl_function" href="group__lib__algebra.html#ga98970ee004dd8a19da9268ba651ffdce">gs_step_LL</a>(A, c, d, relaxFactor);</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> </div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="comment">// c2 = D c1</span></div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keyword">typename</span> Vector_type::value_type <a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a>;</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i<c.size(); i++)</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> {</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a>=c[i];</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <a class="code hl_function" href="namespaceug.html#ad76b10ff156c4239abd30c333373f71c">MatMult</a>(c[i], 1.0, A(i, i), <a class="code hl_variableRef" href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a>);</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> }</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> </div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// c3 = (D-U)^{-1} c2</span></div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <a class="code hl_function" href="group__lib__algebra.html#ga6cec366add5874b559c21b14321e6a25">gs_step_UR</a>(A, c, c, relaxFactor);</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span>}</div>
</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> </div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span><span class="comment">// diag_step</span></div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span><span class="keyword">template</span><<span class="keyword">typename</span> Matrix_type, <span class="keyword">typename</span> Vector_type></div>
<div class="foldopen" id="foldopen00218" data-start="{" data-end="}">
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"><a class="line" href="group__lib__algebra.html#gaa0530b5446400873554834211f173970"> 218</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="group__lib__algebra.html#gaa0530b5446400873554834211f173970">diag_step</a>(<span class="keyword">const</span> Matrix_type& A, Vector_type& c, <span class="keyword">const</span> Vector_type& d, <a class="code hl_typedef" href="group__ugbase__common.html#gaf349a0d1e8189254086eb3267fd4f460">number</a> damp)</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span>{</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="comment">//exit(3);</span></div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <a class="code hl_define" href="group__ugbase__common.html#ga0b928ef153b78f1b5e025638cf28f841">UG_ASSERT</a>(c.size() == d.size() && c.size() == A.num_rows(), c << <span class="stringliteral">", "</span> << d <<</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <span class="stringliteral">" and "</span> << A << <span class="stringliteral">" need to have same size."</span>);</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> </div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0; i < c.size(); i++)</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="comment">// c[i] = damp * d[i]/A(i,i)</span></div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <a class="code hl_function" href="namespaceug.html#ae3578a2d24573312c4b9c35ebac65494">InverseMatMult</a>(c[i], damp, A(i,i), d[i]);</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span>}</div>
</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> </div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> </div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span>}</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span><span class="preprocessor">#endif </span><span class="comment">// __H__UG__CPU_ALGEBRA__CORE_SMOOTHERS__</span></div>
<div class="ttc" id="a_biogas_8lua_html_a9dda901d5ee6289370201a700f88e789"><div class="ttname"><a href="../plugins/_biogas_8lua.html#a9dda901d5ee6289370201a700f88e789">s</a></div><div class="ttdeci">parameterString s</div></div>
<div class="ttc" id="agroup__lib__algebra_html_ga6cec366add5874b559c21b14321e6a25"><div class="ttname"><a href="group__lib__algebra.html#ga6cec366add5874b559c21b14321e6a25">ug::gs_step_UR</a></div><div class="ttdeci">void gs_step_UR(const Matrix_type &A, Vector_type &c, const Vector_type &d, const number relaxFactor)</div><div class="ttdoc">Performs a backward gauss-seidel-step, that is, solve on the upper right of A. Using gs_step_UR withi...</div><div class="ttdef"><b>Definition</b> core_smoothers.h:150</div></div>
<div class="ttc" id="agroup__lib__algebra_html_ga98970ee004dd8a19da9268ba651ffdce"><div class="ttname"><a href="group__lib__algebra.html#ga98970ee004dd8a19da9268ba651ffdce">ug::gs_step_LL</a></div><div class="ttdeci">void gs_step_LL(const Matrix_type &A, Vector_type &c, const Vector_type &d, const number relaxFactor)</div><div class="ttdoc">Gauss-Seidel-Iterations.</div><div class="ttdef"><b>Definition</b> core_smoothers.h:106</div></div>
<div class="ttc" id="agroup__lib__algebra_html_gaa0530b5446400873554834211f173970"><div class="ttname"><a href="group__lib__algebra.html#gaa0530b5446400873554834211f173970">ug::diag_step</a></div><div class="ttdeci">void diag_step(const Matrix_type &A, Vector_type &c, const Vector_type &d, number damp)</div><div class="ttdoc">Performs a jacobi-step.</div><div class="ttdef"><b>Definition</b> core_smoothers.h:218</div></div>
<div class="ttc" id="agroup__lib__algebra_html_gae550d865ffb7730fde393ab5a1f83a4b"><div class="ttname"><a href="group__lib__algebra.html#gae550d865ffb7730fde393ab5a1f83a4b">ug::sgs_step</a></div><div class="ttdeci">void sgs_step(const Matrix_type &A, Vector_type &c, const Vector_type &d, const number relaxFactor)</div><div class="ttdoc">Performs a symmetric gauss-seidel step. Using sgs_step within a preconditioner-scheme leads to the fa...</div><div class="ttdef"><b>Definition</b> core_smoothers.h:189</div></div>
<div class="ttc" id="agroup__ugbase__common_html_ga0b928ef153b78f1b5e025638cf28f841"><div class="ttname"><a href="group__ugbase__common.html#ga0b928ef153b78f1b5e025638cf28f841">UG_ASSERT</a></div><div class="ttdeci">#define UG_ASSERT(expr, msg)</div><div class="ttdef"><b>Definition</b> assert.h:70</div></div>
<div class="ttc" id="agroup__ugbase__common_html_gaf349a0d1e8189254086eb3267fd4f460"><div class="ttname"><a href="group__ugbase__common.html#gaf349a0d1e8189254086eb3267fd4f460">number</a></div><div class="ttdeci">double number</div><div class="ttdef"><b>Definition</b> types.h:124</div></div>
<div class="ttc" id="anamespaceug_html"><div class="ttname"><a href="namespaceug.html">ug</a></div><div class="ttdoc">the ug namespace</div></div>
<div class="ttc" id="anamespaceug_html_a6f1addfcc15e261ec19eca7c425d5d79"><div class="ttname"><a href="namespaceug.html#a6f1addfcc15e261ec19eca7c425d5d79">ug::MatMultAdd</a></div><div class="ttdeci">bool MatMultAdd(vector_t &dest, const number &alpha1, const vector_t &v1, const number &beta1, const matrix_t &A1, const vector_t &w1)</div><div class="ttdoc">calculates dest = alpha1*v1 + beta1 * A1 *w1;</div><div class="ttdef"><b>Definition</b> operations_mat.h:68</div></div>
<div class="ttc" id="anamespaceug_html_ad76b10ff156c4239abd30c333373f71c"><div class="ttname"><a href="namespaceug.html#ad76b10ff156c4239abd30c333373f71c">ug::MatMult</a></div><div class="ttdeci">bool MatMult(vector_t &dest, const number &beta1, const matrix_t &A1, const vector_t &w1)</div><div class="ttdoc">calculates dest = beta1 * A1;</div><div class="ttdef"><b>Definition</b> operations_mat.h:59</div></div>
<div class="ttc" id="anamespaceug_html_ae3578a2d24573312c4b9c35ebac65494"><div class="ttname"><a href="namespaceug.html#ae3578a2d24573312c4b9c35ebac65494">ug::InverseMatMult</a></div><div class="ttdeci">bool InverseMatMult(number &dest, const double &beta, const TMat &mat, const TVec &vec)</div><div class="ttdoc">you can implement this function with GetInverse and MatMult</div></div>
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