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Finite Element Equations
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Bilinear Form of
Formula for Stiffness Matrix Element
Figure: FEM 5
If
i
and
j
are not connected in the triangulation, then
. If they are connected, written
and
then
(Figure FEM 5)
Example: Show that
Hint:
is a solution to Laplace's equation for which approximations are exact
Geoffrey Fox,
Northeast Parallel Architectures Center
at Syracuse University, gcf@npac.syr.edu
Figure: FEM 5
. If they are connected, written 
and 
then 
(Figure FEM 5)
is a solution to Laplace's
equation for which approximations are exact