Coupling finite element and spectral methods: First results. (English) Zbl 0685.65098

Bernardi, Christine; Debit, Naïma; Maday, Yvon

Math. Comput. 54, No. 189, 21-39 (1990).

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

Keywords:

subdomain; error estimates; finite element; spectral methods; Poisson equation