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Example for Two-Dimensional
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Discretization of Integral
Triangular Elements in Two Dimensions
First consider evaluating
F
on a triangle with a linear interpolation function (Figure FEM 3)
Figure: FEM 3
so that
It can be seen that
is linear in
and has value
at
,
at
, and
at
Geoffrey Fox
,
Northeast Parallel Architectures Center
at Syracuse University,
gcf@npac.syr.edu
Figure: FEM 3
is linear in 
and
has value 
at 
, 
at
, and 
at 