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            CENTER FOR COMPUTATIONAL MATHEMATICS COLLOQUIUM
                  UNIVERSITY OF COLORADO AT DENVER


TITLE:   A Multigrid Algorithm for Immersed Interface Problems

SPEAKER: Loyce Adams

DATE:    Wednesday, February 15, 1995

PLACE:   Math Conference Room - Suite 540
         UCD Building, 1250 14th St., Denver

TIME:    2:30 pm (Refreshments served at 2:15 pm)

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
model interface problems.