[Getdp] Contour Integral

Amit Itagi aitagi at gmail.com
Fri Jan 30 18:23:14 CET 2009


I have a 2D problem, with the unknown a vector V, defined using basis
BF_NodeX and BF_NodeY. The continuous 2D domain is partitioned into several
contiguous regions. A scalar parameter "f" is constant over a partition and
undergoes a discontinuity across an interface. In the weak formulation, I
end up with a terms of the form

Integral over the boundary of a partition of { f div[vec(V)]
[vec(W)*unitVec(n)] }, where W is the test vector, n is the unit outward
normal to the contour and * represents the dot product.

Since f is discontinous across the interface, the integrals do not cancel
while traversing the interface twice (for adjacent regions). How do I
represent this term in the formulation ?



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