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Mathematics Research Report MRR95-027
Adaptive Multigrid In Parallel
Linda Stals
Abstract:
Early experiments with parallel multigrid used square domains and uniform
grids.
More recently, several authors have considered problems with more
complicated domains
(see for example McCormick's AFAC method and Baden et al. LPARX). However,
these methods
still use structured grids. In this paper we present a parallel program
which is based
upon unstructured grids. By allowing unstructured grids we can solve
problems on more
general regions, experiment with different shaped grids and use adaptive
refinement
methods.
The program is written in a mixture of C++ and PVM. It is
designed to
solve
elliptic partial differential equations using the finite element method. We
use newest
node bisection to refine the grid and the Kernighan-Lin method to rebalance
the load.
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