The Method of Auxiliary Mapping for the Finite Element Solutions of Elliptic Partial Diierential Equations on Nonsmooth Domains in R 3
نویسنده
چکیده
The method of auxiliary mapping (MAM) introduced by Babu ska-Oh((10]) was eecient and successful in dealing with plane elliptic boundary value problems containing singularities. In this paper, MAM is generalized for elliptic PDEs on non-smooth domains in R 3 : This method is tested in the framework of the p-version of the nite element method (FEM) for the axisymmetric Poisson equations containing the vertex, the edge, and the vertex-edge singularities, respectively. The results by this method are superior to the results obtained by the p-version of FEM combined with optimal geometric mesh reenements.
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