<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<meta name="Generator" content="Microsoft Word 12 (filtered medium)">
<!--[if !mso]><style>v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
w\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
</style><![endif]--><style><!--
/* Font Definitions */
@font-face
        {font-family:Wingdings;
        panose-1:5 0 0 0 0 0 0 0 0 0;}
@font-face
        {font-family:"Cambria Math";
        panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
        {font-family:Calibri;
        panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
        {font-family:Tahoma;
        panose-1:2 11 6 4 3 5 4 4 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
        {margin:0cm;
        margin-bottom:.0001pt;
        font-size:12.0pt;
        font-family:"Times New Roman","serif";}
a:link, span.MsoHyperlink
        {mso-style-priority:99;
        color:blue;
        text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
        {mso-style-priority:99;
        color:purple;
        text-decoration:underline;}
code
        {mso-style-priority:99;
        font-family:"Courier New";}
p.MsoAcetate, li.MsoAcetate, div.MsoAcetate
        {mso-style-priority:99;
        mso-style-link:"Sprechblasentext Zchn";
        margin:0cm;
        margin-bottom:.0001pt;
        font-size:8.0pt;
        font-family:"Tahoma","sans-serif";}
span.styled-by-prettify
        {mso-style-name:styled-by-prettify;}
span.E-MailFormatvorlage19
        {mso-style-type:personal-reply;
        font-family:"Calibri","sans-serif";
        color:#1F497D;}
span.SprechblasentextZchn
        {mso-style-name:"Sprechblasentext Zchn";
        mso-style-priority:99;
        mso-style-link:Sprechblasentext;
        font-family:"Tahoma","sans-serif";}
.MsoChpDefault
        {mso-style-type:export-only;}
@page WordSection1
        {size:612.0pt 792.0pt;
        margin:70.85pt 70.85pt 2.0cm 70.85pt;}
div.WordSection1
        {page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="2050" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
</head>
<body lang="DE" link="blue" vlink="purple">
<div class="WordSection1">
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Hi,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">the point is that in GetDP it’s not allowed to subtract or add anything from/to<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">a Dof in a single Galerkin statement. Therefore you have to split your 2nd
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Galerkin into two:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><img width="662" height="95" id="Bild_x0020_1" src="cid:image001.png@01CFF852.565D1020"></span><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Then it works
</span><span lang="EN-US" style="font-size:11.0pt;font-family:Wingdings;color:#1F497D">J</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><img width="622" height="486" id="Bild_x0020_2" src="cid:image002.png@01CFF852.565D1020"></span><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Cheers,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Michael<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<div style="border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm 0cm">
<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif"">From:</span></b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif""> getdp [mailto:getdp-bounces@ace20.montefiore.ulg.ac.be]
<b>On Behalf Of </b>Hamid Badi<br>
<b>Sent:</b> Tuesday, November 04, 2014 1:14 PM<br>
<b>To:</b> getdp-public@googlegroups.com<br>
<b>Subject:</b> [Getdp] Multiple natural boundary conditions<o:p></o:p></span></p>
</div>
<p class="MsoNormal"><o:p> </o:p></p>
<div>
<p class="MsoNormal">Hello,<o:p></o:p></p>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">My problem is common, i'd like to solve the heat equation with, for example, 2 natural Robin BC and one adibatique BC : -lambda.dnT = h.(T-Ti) on Gamma_i with i={1,2} and lambda.dnT = 0 on Gamma_3. <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal">I write the weak form with u in Form0 of the heat equation leads to the classical form :<o:p></o:p></p>
</div>
<div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
</div>
<div style="border:solid #BBBBBB 1.0pt;padding:0cm 0cm 0cm 0cm;word-wrap: break-word">
<div>
<p class="MsoNormal" style="background:#FAFAFA"><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Equation</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">{</span></span><span style="font-size:10.0pt;font-family:"Courier New";color:black"><br>
<span class="styled-by-prettify">      </span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Galerkin</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">{</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">[</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#000088">lambda</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">[]</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">*</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Dof</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">{</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Grad</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
 u</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">},</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">{</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Grad</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
 u</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">}];</span></span><span style="font-size:10.0pt;font-family:"Courier New";color:black"><br>
<span class="styled-by-prettify">        </span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">In</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Omega</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">;</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Jacobian</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">JVol</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">;</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Integration</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black"> I1</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">;}</span></span><span style="font-size:10.0pt;font-family:"Courier New";color:black"><br>
<span class="styled-by-prettify">   </span><br>
<span class="styled-by-prettify">  </span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Galerkin</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">{</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">[</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black"> h</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">[]*</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">(</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Dof</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">{</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">u</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">}</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">-</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black"> T</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">[]),</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">{</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">u</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">}];</span></span><span style="font-size:10.0pt;font-family:"Courier New";color:black"><br>
<span class="styled-by-prettify">       </span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">In</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Ambiance</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">;</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Jacobian</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">JSur</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">;</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black">
</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#660066">Integration</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:black"> I1</span></span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">;}</span></span><span style="font-size:10.0pt;font-family:"Courier New";color:black"><br>
</span><span class="styled-by-prettify"><span style="font-size:10.0pt;font-family:"Courier New";color:#666600">}</span></span><span style="font-size:10.0pt;font-family:"Courier New""><o:p></o:p></span></p>
</div>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">In my problem there is no essential BC so i do not have Constraint block.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal">The computation give a 0 temperature field, I do not understand what's wrong.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">Moreover : <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal">1 - I wan to store in a file the temperature field respects to the nodes but PostOperation block computes over elements.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal">2 - How can I compute the integral of the flux over Gamma_i, to do so, I need for each boundary edge : the flux and the normal vector<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">Best regards.<o:p></o:p></p>
</div>
</div>
</div>
</body>
</html>