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Spectral element methods for elliptic problems in nonsmooth domains. (English) Zbl 0844.65082
The authors discuss numerical solution of elliptic boundary value problems in irregularly shaped domains in the plane. They partition the region in a set of several blocks; each block is transformed to the unit space by a smooth or isoparametric mapping. Numerical examples are related to the Laplace, Poisson, and Helmholtz equations.

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
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