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<P><FONT SIZE=2 FACE="Arial">Hello:</FONT>
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<P><FONT SIZE=2 FACE="Arial">Would it be possible for someone on the list to please explain why the following two</FONT>
<BR><FONT SIZE=2 FACE="Arial">formulations are not the same (or to point me to specific reference that explains it)?</FONT>
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<P><FONT SIZE=2 FACE="Arial">Formulation for Convection BC that works (last two Galerkin terms);</FONT>
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<P><FONT SIZE=2 FACE="Arial"> Equation {</FONT>
<BR><FONT SIZE=2 FACE="Arial"> Galerkin { [ k[] * Dof{d T} , {d T} ];</FONT>
<BR><FONT SIZE=2 FACE="Arial"> In Vol_The; Integration I1; Jacobian JVol; }</FONT>
<BR><FONT SIZE=2 FACE="Arial"> Galerkin { [ -Flux[] , {T} ]; // - sign for incoming flux</FONT>
<BR><FONT SIZE=2 FACE="Arial"> In FluxIn; Integration I1; Jacobian JSur; }</FONT>
<BR><FONT SIZE=2 FACE="Arial"> Galerkin { [ alpha[] * Dof{T} , {T} ]; </FONT>
<BR><FONT SIZE=2 FACE="Arial"> In Convection; Integration I1; Jacobian JSur; }</FONT>
<BR><FONT SIZE=2 FACE="Arial"> Galerkin { [ -alpha[] * 348 , {T} ]; </FONT>
<BR><FONT SIZE=2 FACE="Arial"> In Convection; Integration I1; Jacobian JSur; }</FONT>
<BR><FONT SIZE=2 FACE="Arial"> }</FONT>
<BR><FONT SIZE=2 FACE="Arial"> </FONT>
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<P><FONT SIZE=2 FACE="Arial">Formulation for Convection that did not work (last Galerkin term)</FONT>
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<P><FONT SIZE=2 FACE="Arial"> Equation {</FONT>
<BR><FONT SIZE=2 FACE="Arial"> Galerkin { [ k[] * Dof{d T} , {d T} ];</FONT>
<BR><FONT SIZE=2 FACE="Arial"> In Vol_The; Integration I1; Jacobian JVol; }</FONT>
<BR><FONT SIZE=2 FACE="Arial"> Galerkin { [ -Flux[] , {T} ]; // - sign for incoming flux</FONT>
<BR><FONT SIZE=2 FACE="Arial"> In FluxIn; Integration I1; Jacobian JSur; }</FONT>
<BR><FONT SIZE=2 FACE="Arial"> Galerkin { [ alpha[] * (Dof{T} - 348) , {T} ];</FONT>
<BR><FONT SIZE=2 FACE="Arial"> In Convection; Integration I1; Jacobian JSur; }</FONT>
<BR><FONT SIZE=2 FACE="Arial"> }</FONT>
<BR><FONT SIZE=2 FACE="Arial"> </FONT>
<BR><FONT SIZE=2 FACE="Arial">Also:</FONT>
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<P><FONT SIZE=2 FACE="Arial">Could someone please help me out by explaining why in the Thermal example on Wiki the last</FONT>
<BR><FONT SIZE=2 FACE="Arial">Galerkin Term (Radiated losses) does not require the use of Dof but the other terms that use</FONT>
<BR><FONT SIZE=2 FACE="Arial">{T} do require it.</FONT>
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<P><FONT SIZE=2 FACE="Arial">From Thermal.pro</FONT>
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<P><FONT SIZE=2 FACE="Arial"> Galerkin { [ k[] * Dof{d T} , {d T} ]; </FONT>
<BR><FONT SIZE=2 FACE="Arial"> In Vol_The; Integration I1; Jacobian JVol; }</FONT>
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<P><FONT SIZE=2 FACE="Arial"> Galerkin { Dt [ rhoc[] * Dof{T} , {T} ]; </FONT>
<BR><FONT SIZE=2 FACE="Arial"> In Vol_The; Integration I1; Jacobian JVol; }</FONT>
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<P><FONT SIZE=2 FACE="Arial"> Galerkin { [ -qVol[] , {T} ]; </FONT>
<BR><FONT SIZE=2 FACE="Arial"> In Vol_The; Integration I1; Jacobian JVol; }</FONT>
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<P><FONT SIZE=2 FACE="Arial"> Galerkin { [ -Flux[] , {T} ]; // - sign for incoming flux</FONT>
<BR><FONT SIZE=2 FACE="Arial"> In Sur_The; Integration I1; Jacobian JSur; }</FONT>
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<P><FONT SIZE=2 FACE="Arial"> Galerkin { [ h[] * Dof{T} , {T} ] ; </FONT>
<BR><FONT SIZE=2 FACE="Arial"> In SurConv_The ; Integration I1; Jacobian JSur; }</FONT>
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<P><FONT SIZE=2 FACE="Arial"> Galerkin { [ -h[] * TConv[] , {T} ] ;</FONT>
<BR><FONT SIZE=2 FACE="Arial"> In SurConv_The ; Integration I1; Jacobian JSur; }</FONT>
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<P><FONT SIZE=2 FACE="Arial"> Galerkin { [ hr[{T}] * (({T}+273.)^4-(TConv[]+273.)^4) , {T} ] ; </FONT>
<BR><FONT SIZE=2 FACE="Arial"> In SurRad_The ; Integration I1; Jacobian JSur; }</FONT>
<BR><FONT SIZE=2 FACE="Arial"> </FONT>
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<P><FONT SIZE=2 FACE="Arial">Thankyou</FONT>
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<P><FONT SIZE=2 FACE="Arial">Laird Bolt</FONT>
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