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%Please insert here the title of your contribution!
A Multigrid Algorithm for Immersed Interface Problems
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{\bf Prof. Loyce Adams}
%Collaborators:
Dept. Applied Mathematics
University of Washington
adams@amath.washington.edu
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%Please insert here the abstract!
Many physical problems involve interior interfaces across which
the coefficients in the problem, the solution and or its derivatives,
the flux, or the source term has jumps. These interior interfaces may
or may not align with a underlying Cartesian grid. Zhilin Li, in his
dissertation, showed how to discretize such problems using only a
Cartesian grid and the known jump conditions to second order accuracy.
In this talk, we describe how to apply the multigrid algorithm in this
context. In particular, the restriction, interpolation, and coarse grid
problem will be described and numerical results will be given for several
groundwater flow problems.
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