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Buggy, must check why interpolator assignment destroys precomputed data.
author Jordi Guitérrez Hermoso <jordigh@gmail.com>
date Sun, 29 Jun 2008 04:06:48 -0500
parents 4fa56dc7e271
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<h1>include/ddm.hpp</h1><a href="ddm_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="preprocessor">#ifndef __DDM_H__</span>
<a name="l00002"></a>00002 <span class="preprocessor"></span><span class="preprocessor">#define __DDM_H__</span>
<a name="l00003"></a>00003 <span class="preprocessor"></span>
<a name="l00004"></a>00004 <span class="preprocessor">#include &lt;vector&gt;</span>
<a name="l00005"></a>00005 <span class="preprocessor">#include &lt;map&gt;</span>
<a name="l00006"></a>00006 <span class="preprocessor">#include &lt;set&gt;</span>
<a name="l00007"></a>00007 <span class="preprocessor">#include &lt;boost/shared_ptr.hpp&gt;</span>
<a name="l00008"></a>00008 <span class="preprocessor">#include "<a class="code" href="bvp_8hpp.html" title="Classes domain, BVP, and linear_BVP2 are declared here.">bvp.hpp</a>"</span>
<a name="l00009"></a>00009 <span class="preprocessor">#include "<a class="code" href="interpolator_8hpp.html">interpolator.hpp</a>"</span>
<a name="l00010"></a>00010 <span class="preprocessor">#include "<a class="code" href="diff__op_8hpp.html">diff_op.hpp</a>"</span>
<a name="l00011"></a>00011 <span class="preprocessor">#include "<a class="code" href="func_8hpp.html">func.hpp</a>"</span>
<a name="l00012"></a>00012 
<a name="l00013"></a>00013 <span class="keyword">namespace </span>bvp{
<a name="l00014"></a>00014   <span class="keyword">using</span> std::map;
<a name="l00015"></a>00015   <span class="keyword">using</span> std::set;
<a name="l00016"></a>00016   <span class="keyword">using</span> boost::shared_ptr;
<a name="l00017"></a>00017 
<a name="l00018"></a>00018   <span class="comment">//Boundary differential operators that may be specified in peculiar</span>
<a name="l00019"></a>00019   <span class="comment">//ways depending on the ddm we're working on.</span>
<a name="l00020"></a>00020   <span class="comment">//</span>
<a name="l00021"></a>00021   <span class="comment">//On interior boundary points as specified by the domain</span>
<a name="l00022"></a>00022   <span class="comment">//decomposition, the alternate Bprime operator is applied instead of the</span>
<a name="l00023"></a>00023   <span class="comment">//B operator.</span>
<a name="l00024"></a><a class="code" href="classbvp_1_1ddm__bdry__diff__op.html">00024</a>   <span class="keyword">class </span><a class="code" href="classbvp_1_1ddm__bdry__diff__op.html">ddm_bdry_diff_op</a> : <span class="keyword">public</span> <a class="code" href="classbvp_1_1bdry__diff__op.html">bdry_diff_op</a>{
<a name="l00025"></a>00025   <span class="keyword">public</span>:
<a name="l00026"></a>00026     <a class="code" href="classbvp_1_1ddm__bdry__diff__op.html#d89b3bed72c625bf96fe45213a2d722a">ddm_bdry_diff_op</a>(shared_ptr&lt;const bdry_diff_op&gt; B_in, 
<a name="l00027"></a>00027                      shared_ptr&lt;const bdry_diff_op&gt; Bprime_in,
<a name="l00028"></a>00028                      <span class="keyword">const</span> set&lt;point&gt;&amp; ibps);
<a name="l00029"></a>00029     <span class="keywordtype">double</span> <a class="code" href="classbvp_1_1ddm__bdry__diff__op.html#e01b7ec6be7a41f090cd8cc37e9cc5f7">at</a>(<span class="keyword">const</span> <a class="code" href="classbvp_1_1realfunc.html">realfunc</a> &amp;f, <span class="keyword">const</span> <a class="code" href="namespacelinalg.html#93d09321b3ca781d34e48a484ac7da60" title="Useful alias, vectors are also points in space.">point</a> &amp;p) <span class="keyword">const</span>;
<a name="l00030"></a>00030     <span class="keywordtype">double</span> <a class="code" href="classbvp_1_1ddm__bdry__diff__op.html#e01b7ec6be7a41f090cd8cc37e9cc5f7">at</a>(<span class="keyword">const</span> <a class="code" href="classbvp_1_1realfunc.html">realfunc</a> &amp;f, <span class="keyword">const</span> <a class="code" href="namespacelinalg.html#93d09321b3ca781d34e48a484ac7da60" title="Useful alias, vectors are also points in space.">point</a> &amp;p, <span class="keyword">const</span> <a class="code" href="classlinalg_1_1vector.html" title="A wrapper class for GSL vectors.">vector</a> &amp;n) <span class="keyword">const</span>;
<a name="l00031"></a>00031   <span class="keyword">private</span>:
<a name="l00032"></a><a class="code" href="classbvp_1_1ddm__bdry__diff__op.html#7b24c583faf178b0f110a243406a0c13">00032</a>     shared_ptr&lt;const bdry_diff_op&gt; <a class="code" href="classbvp_1_1ddm__bdry__diff__op.html#7b24c583faf178b0f110a243406a0c13">B</a>;
<a name="l00033"></a><a class="code" href="classbvp_1_1ddm__bdry__diff__op.html#6073a06167f8d09a2f2268d760b2215a">00033</a>     shared_ptr&lt;const bdry_diff_op&gt; <a class="code" href="classbvp_1_1ddm__bdry__diff__op.html#6073a06167f8d09a2f2268d760b2215a">Bprime</a>;
<a name="l00034"></a><a class="code" href="classbvp_1_1ddm__bdry__diff__op.html#a35cdad57f8019bd548a2a1157a4ed93">00034</a>     set&lt;point&gt; <a class="code" href="classbvp_1_1ddm__bdry__diff__op.html#a35cdad57f8019bd548a2a1157a4ed93">intr_bdry_pts</a>;
<a name="l00035"></a>00035   };
<a name="l00036"></a>00036 
<a name="l00037"></a>00037   <span class="comment">//************************ ddm ********************************************</span>
<a name="l00038"></a>00038 
<a name="l00039"></a>00039   <span class="comment">//A generic domain decomposition method</span>
<a name="l00040"></a><a class="code" href="classbvp_1_1ddm.html">00040</a>   <span class="keyword">class </span><a class="code" href="classbvp_1_1ddm.html">ddm</a>{
<a name="l00041"></a>00041   <span class="keyword">public</span>:
<a name="l00042"></a>00042     <span class="comment">//What are the domains of this ddm, and what's the bvp?</span>
<a name="l00043"></a>00043     <a class="code" href="classbvp_1_1ddm.html#86206316fb83fdefbdbebcaab64f1afe">ddm</a>(<span class="keyword">const</span> <span class="keyword">set</span>&lt;shared_ptr&lt;const domain&gt; &gt;&amp; ds, 
<a name="l00044"></a>00044         shared_ptr&lt;const BVP&gt; thebvp);
<a name="l00045"></a>00045         
<a name="l00046"></a>00046     <span class="comment">//Relative tolerance. Defaults to 1e-5.</span>
<a name="l00047"></a>00047     <span class="keywordtype">void</span> <a class="code" href="classbvp_1_1ddm.html#f7a4d4534331ed937e604893a115c480">set_tolerance</a>(<span class="keywordtype">double</span> tol);
<a name="l00048"></a>00048     <span class="keyword">virtual</span> <span class="keywordtype">double</span> <a class="code" href="classbvp_1_1ddm.html#d7c6ac93874c610b9bc22a5538a40390">at</a>(<span class="keyword">const</span> <a class="code" href="namespacelinalg.html#93d09321b3ca781d34e48a484ac7da60" title="Useful alias, vectors are also points in space.">point</a>&amp; p) <span class="keyword">const</span> = 0;
<a name="l00049"></a>00049     <span class="keywordtype">double</span> <a class="code" href="classbvp_1_1ddm.html#dd283782e9a0c6114a9b4d3c22d3c270">operator()</a>(<span class="keyword">const</span> <a class="code" href="namespacelinalg.html#93d09321b3ca781d34e48a484ac7da60" title="Useful alias, vectors are also points in space.">point</a>&amp; p) <span class="keyword">const</span>;
<a name="l00050"></a>00050 
<a name="l00051"></a>00051     <span class="keyword">virtual</span> <a class="code" href="classbvp_1_1ddm.html#3b0b60c457247052812bba973d719641">~ddm</a>();
<a name="l00052"></a>00052 
<a name="l00053"></a>00053   <span class="keyword">protected</span>:
<a name="l00054"></a><a class="code" href="classbvp_1_1ddm.html#1c0240b22224562065f30bf9d0301d50">00054</a>     shared_ptr&lt;const BVP&gt; <a class="code" href="classbvp_1_1ddm.html#1c0240b22224562065f30bf9d0301d50">bvp</a>;
<a name="l00055"></a><a class="code" href="classbvp_1_1ddm.html#f2e30635e9973ff63f0db0f2a1fa731e">00055</a>     set&lt;shared_ptr&lt;const domain&gt; &gt; <a class="code" href="classbvp_1_1ddm.html#f2e30635e9973ff63f0db0f2a1fa731e">domains</a>;
<a name="l00056"></a><a class="code" href="classbvp_1_1ddm.html#ab02efc5912dbe803c17cd4cfb4ed5c9">00056</a>     <span class="keywordtype">double</span> <a class="code" href="classbvp_1_1ddm.html#ab02efc5912dbe803c17cd4cfb4ed5c9">tolerance</a>;
<a name="l00057"></a>00057 
<a name="l00058"></a>00058     <span class="comment">//Each specific ddm has its own way of doing things.</span>
<a name="l00059"></a>00059     <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classbvp_1_1ddm.html#7fbcf71573a76e315829fa0c2d2f56e6">solve</a>() = 0;
<a name="l00060"></a>00060   };
<a name="l00061"></a>00061 
<a name="l00062"></a>00062   <span class="keyword">class </span><a class="code" href="classbvp_1_1overlapping__domain.html">overlapping_domain</a>;
<a name="l00063"></a>00063   
<a name="l00064"></a>00064   <span class="comment">//***************** additive_schwarz_ddm ***********************************</span>
<a name="l00065"></a>00065 
<a name="l00066"></a>00066   <span class="comment">//This method described in Li and Chen [2003].</span>
<a name="l00067"></a>00067   <span class="keyword">template</span> &lt;<span class="keyword">typename</span> RBF&gt;
<a name="l00068"></a><a class="code" href="classbvp_1_1additive__schwarz__ddm.html">00068</a>   <span class="keyword">class </span><a class="code" href="classbvp_1_1additive__schwarz__ddm.html">additive_schwarz_ddm</a> : <span class="keyword">public</span> <a class="code" href="classbvp_1_1ddm.html">ddm</a>{
<a name="l00069"></a>00069   <span class="keyword">public</span>:
<a name="l00070"></a>00070     <a class="code" href="classbvp_1_1additive__schwarz__ddm.html#15cfcfa03d929291d7eeadd9e3cd054e">additive_schwarz_ddm</a>(<span class="keyword">const</span> <span class="keyword">set</span>&lt;shared_ptr&lt;const domain&gt; &gt;&amp;, 
<a name="l00071"></a>00071                          shared_ptr&lt;const linear_BVP2&gt; <a class="code" href="classbvp_1_1ddm.html#1c0240b22224562065f30bf9d0301d50">bvp</a>);
<a name="l00072"></a>00072     <span class="keywordtype">double</span> <a class="code" href="classbvp_1_1additive__schwarz__ddm.html#338a5269cd3e001df6c6a0b05140be1f">at</a>(<span class="keyword">const</span> <a class="code" href="namespacelinalg.html#93d09321b3ca781d34e48a484ac7da60" title="Useful alias, vectors are also points in space.">point</a>&amp; p) <span class="keyword">const</span>;
<a name="l00073"></a>00073   <span class="keyword">private</span>:
<a name="l00074"></a>00074     map&lt;shared_ptr&lt;const overlapping_domain&gt;, 
<a name="l00075"></a><a class="code" href="classbvp_1_1additive__schwarz__ddm.html#941eaf92c230aefb8154680a05e0e0ff">00075</a>         shared_ptr&lt;interpolator&lt;RBF&gt; &gt; &gt; <a class="code" href="classbvp_1_1additive__schwarz__ddm.html#941eaf92c230aefb8154680a05e0e0ff">phis</a>;
<a name="l00076"></a>00076 
<a name="l00077"></a>00077     set&lt;shared_ptr&lt;const interpolator&lt;RBF&gt; &gt; &gt; 
<a name="l00078"></a>00078     <a class="code" href="classbvp_1_1additive__schwarz__ddm.html#f850ac752db1e66814c1df35ded231bc">which_interps</a>(<span class="keyword">const</span> <a class="code" href="namespacelinalg.html#93d09321b3ca781d34e48a484ac7da60" title="Useful alias, vectors are also points in space.">point</a>&amp; p) <span class="keyword">const</span>;
<a name="l00079"></a>00079 
<a name="l00080"></a>00080     <span class="keywordtype">void</span> <a class="code" href="classbvp_1_1additive__schwarz__ddm.html#a6f5045b43f412e3c8feffe69338345e">solve</a>();
<a name="l00081"></a>00081 
<a name="l00082"></a>00082     <span class="comment">//Evaluate using the average of relevant interpolators.</span>
<a name="l00083"></a>00083     <span class="keywordtype">double</span> <a class="code" href="classbvp_1_1additive__schwarz__ddm.html#5cc7221b1519ee7de70f5c89d6c1b02d">avg_interp</a>(<span class="keyword">set</span>&lt;shared_ptr&lt;<span class="keyword">const</span> <a class="code" href="classbvp_1_1interpolator.html">interpolator&lt;RBF&gt;</a> &gt; &gt; 
<a name="l00084"></a>00084                       relevant_interpolators,
<a name="l00085"></a>00085                       <span class="keyword">const</span> <a class="code" href="namespacelinalg.html#93d09321b3ca781d34e48a484ac7da60" title="Useful alias, vectors are also points in space.">point</a>&amp; p) <span class="keyword">const</span>;
<a name="l00086"></a>00086 
<a name="l00087"></a>00087 
<a name="l00088"></a>00088     <a class="code" href="classlinalg_1_1vector.html" title="A wrapper class for GSL vectors.">vector</a> <a class="code" href="classbvp_1_1additive__schwarz__ddm.html#9985e49e81c8d54e9d7251fd8acee83f">at_all_points</a>() <span class="keyword">const</span>;
<a name="l00089"></a>00089     
<a name="l00090"></a>00090   };
<a name="l00091"></a>00091 
<a name="l00092"></a>00092   <span class="comment">//An overlapping domain's constructor, besides needing the same</span>
<a name="l00093"></a>00093   <span class="comment">//arguments as required for an ordinary domain, also needs to know</span>
<a name="l00094"></a>00094   <span class="comment">//which domains it will overlap with, and on which domain its</span>
<a name="l00095"></a>00095   <span class="comment">//boundary points lie. These two extra pieces of information are</span>
<a name="l00096"></a>00096   <span class="comment">//given by</span>
<a name="l00097"></a>00097   <span class="comment">// </span>
<a name="l00098"></a>00098   <span class="comment">//        set&lt;const shared_ptr&lt;overlapping_domain&gt; &gt;</span>
<a name="l00099"></a>00099   <span class="comment">//        map&lt;point, shared_ptr&lt;const overlapping_domain&gt; &gt;</span>
<a name="l00100"></a>00100   <span class="comment">// </span>
<a name="l00101"></a>00101   <span class="comment">//respectively. By default, if these arguments are omitted, it is</span>
<a name="l00102"></a>00102   <span class="comment">//assumed that the overlapping domain doesn't overlap with anything</span>
<a name="l00103"></a>00103   <span class="comment">//at all. If a point in the domain's boundary doesn't overlap with</span>
<a name="l00104"></a>00104   <span class="comment">//another domain, then it shouldn't be specified in the map&lt;point,</span>
<a name="l00105"></a>00105   <span class="comment">//overlapping_domain&gt; data structure (or it can quite harmlessly be</span>
<a name="l00106"></a>00106   <span class="comment">//assigned  to itself).</span>
<a name="l00107"></a>00107   <span class="comment">//</span>
<a name="l00108"></a>00108   <span class="comment">//Alternatively, the set_overlapper_info(...) function can handle</span>
<a name="l00109"></a>00109   <span class="comment">//all of the details.</span>
<a name="l00110"></a><a class="code" href="classbvp_1_1overlapping__domain.html">00110</a>   <span class="keyword">class </span><a class="code" href="classbvp_1_1overlapping__domain.html">overlapping_domain</a> : <span class="keyword">public</span> <a class="code" href="classbvp_1_1domain.html">domain</a>{
<a name="l00111"></a>00111   <span class="keyword">public</span>:
<a name="l00112"></a>00112     <a class="code" href="classbvp_1_1overlapping__domain.html#a6e4c2eaa85d4b1cb6f0a53f1ba7d741">overlapping_domain</a>(<span class="keywordtype">string</span> intr, <span class="keywordtype">string</span> bdry, <span class="keywordtype">string</span> ns);
<a name="l00113"></a>00113     <a class="code" href="classbvp_1_1overlapping__domain.html#a6e4c2eaa85d4b1cb6f0a53f1ba7d741">overlapping_domain</a>(<span class="keywordtype">string</span> intr, <span class="keywordtype">string</span> bdry, <span class="keywordtype">string</span> ns, 
<a name="l00114"></a>00114                        <span class="keyword">const</span> <span class="keyword">set</span>&lt;shared_ptr&lt;const overlapping_domain&gt; &gt;&amp; ols,
<a name="l00115"></a>00115                        <span class="keyword">const</span> map&lt;<a class="code" href="namespacelinalg.html#93d09321b3ca781d34e48a484ac7da60" title="Useful alias, vectors are also points in space.">point</a>, 
<a name="l00116"></a>00116                        shared_ptr&lt;const overlapping_domain&gt; &gt;&amp; bdry_asst);
<a name="l00117"></a>00117 
<a name="l00118"></a>00118     <a class="code" href="classbvp_1_1overlapping__domain.html#a6e4c2eaa85d4b1cb6f0a53f1ba7d741">overlapping_domain</a>(<span class="keywordtype">size_t</span> dimension);
<a name="l00119"></a>00119     <a class="code" href="classbvp_1_1overlapping__domain.html#a6e4c2eaa85d4b1cb6f0a53f1ba7d741">overlapping_domain</a>(<span class="keywordtype">size_t</span> dimension, set&lt;point&gt; intr, 
<a name="l00120"></a>00120            set&lt;point&gt; bdry, map&lt;point, vector&gt; ns);
<a name="l00121"></a>00121       
<a name="l00122"></a>00122     set&lt;shared_ptr&lt;const overlapping_domain&gt; &gt; <a class="code" href="classbvp_1_1overlapping__domain.html#e77ba8a4ca5514818291a266429dfec4">get_domains</a>() <span class="keyword">const</span>;
<a name="l00123"></a>00123     
<a name="l00124"></a>00124     <span class="comment">//With what domain this point overlap? If none, return 0.</span>
<a name="l00125"></a>00125     shared_ptr&lt;const overlapping_domain&gt; <a class="code" href="classbvp_1_1overlapping__domain.html#89423f8f02d81cae560f3d606445482e">which_domain</a>(<span class="keyword">const</span> <a class="code" href="namespacelinalg.html#93d09321b3ca781d34e48a484ac7da60" title="Useful alias, vectors are also points in space.">point</a>&amp; p) <span class="keyword">const</span>; 
<a name="l00126"></a>00126     
<a name="l00127"></a>00127     <span class="comment">//Once domains are defined via ordinary domain constructors, this</span>
<a name="l00128"></a>00128     <span class="comment">//function will grab a set of domains and say which domain</span>
<a name="l00129"></a>00129     <span class="comment">//overlaps with which one. </span>
<a name="l00130"></a>00130     <span class="keyword">friend</span> <span class="keywordtype">void</span> <a class="code" href="classbvp_1_1overlapping__domain.html#2f337447025c5c56b808ed6ebb25d522">set_overlapper_info</a>(<span class="keyword">set</span>&lt;shared_ptr&lt;overlapping_domain&gt; &gt; 
<a name="l00131"></a>00131                                     domains);
<a name="l00132"></a>00132 
<a name="l00133"></a>00133     <span class="comment">//Set overlapper info manually.</span>
<a name="l00134"></a>00134     <span class="keywordtype">void</span> <a class="code" href="classbvp_1_1overlapping__domain.html#2f337447025c5c56b808ed6ebb25d522">set_overlapper_info</a>(<span class="keyword">const</span> <a class="code" href="namespacelinalg.html#93d09321b3ca781d34e48a484ac7da60" title="Useful alias, vectors are also points in space.">point</a>&amp; p, 
<a name="l00135"></a>00135                              <span class="keyword">const</span> shared_ptr&lt;overlapping_domain&gt; o);
<a name="l00136"></a>00136 
<a name="l00137"></a>00137   <span class="keyword">private</span>:
<a name="l00138"></a><a class="code" href="classbvp_1_1overlapping__domain.html#debdd715a502c03233752494d1bf722e">00138</a>     set&lt;shared_ptr&lt;const overlapping_domain&gt; &gt; <a class="code" href="classbvp_1_1overlapping__domain.html#debdd715a502c03233752494d1bf722e">overlappers</a>;
<a name="l00139"></a><a class="code" href="classbvp_1_1overlapping__domain.html#126632eb207cc0ed7f33367b8ac9d0a1">00139</a>     map&lt;point, shared_ptr&lt;const overlapping_domain&gt; &gt; <a class="code" href="classbvp_1_1overlapping__domain.html#126632eb207cc0ed7f33367b8ac9d0a1">boundary_assignments</a>;
<a name="l00140"></a>00140   };
<a name="l00141"></a>00141 }
<a name="l00142"></a>00142 
<a name="l00143"></a>00143 <span class="preprocessor">#endif // __DDM_H__</span>
<a name="l00144"></a>00144 <span class="preprocessor"></span>
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