/[escript]/trunk/doc/user/heatedblock.tex
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revision 585 by gross, Tue Mar 7 01:28:23 2006 UTC revision 586 by lkettle, Fri Mar 10 01:24:27 2006 UTC
# Line 49  takes PDEs of the form Line 49  takes PDEs of the form
49  $A$ is a \RankFour, $B$ and $C$ are each a \RankThree, $D$ and $X$ are each a \RankTwo and $Y$ is a \RankOne.  $A$ is a \RankFour, $B$ and $C$ are each a \RankThree, $D$ and $X$ are each a \RankTwo and $Y$ is a \RankOne.
50  The natural boundary conditions \index{boundary condition!natural} take the form:  The natural boundary conditions \index{boundary condition!natural} take the form:
51  \begin{equation}\label{LINEARPDE.SYSTEM.2}  \begin{equation}\label{LINEARPDE.SYSTEM.2}
52  n\hackscore{j}(A\hackscore{ijkl} u\hackscore{k,l})\hackscore{,j}+(B\hackscore{ijk} u\hackscore{k})+d\hackscore{ik} u\hackscore{k}=n\hackscore{j}X\hackscore{ij}+y\hackscore{i}  \;.  n\hackscore{j}\left(A\hackscore{ijkl} u\hackscore{k,l}+B\hackscore{ijk} u\hackscore{k}\right)+d\hackscore{ik} u\hackscore{k}=n\hackscore{j}X\hackscore{ij}+y\hackscore{i}  \;.
53  \end{equation}  \end{equation}
54  The coefficient $d$ is a \RankTwo and $y$ is a    The coefficient $d$ is a \RankTwo and $y$ is a  
55  \RankOne both in the \FunctionOnBoundary. Constraints \index{constraint} take the form  \RankOne both in the \FunctionOnBoundary. Constraints \index{constraint} take the form

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