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Coupling finite element and spectral methods: First results. (English) Zbl 0685.65098
This paper is concerned with the coupling of finite element and spectral methods for the solution of a classical Poisson equation set in a rectangular domain decomposed into two squares. A finite element approximation is used in one of the squares and spectral approximation in the other. Two matchings are proposed and analyzed.
Reviewer: P.-L.Lions

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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