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Domain decomposition in conjunction with sinc methods for Poisson’s equation. (English) Zbl 0857.65128
The authors essentially describe a weighted residual method with sinc functions as shape and trial functions. They couple this scheme with the domain decomposition method in both, patching and overlapping form. In this respect, they solve a two-point boundary value problem and the Poisson equation on an $$L$$-shaped domain. Some numerical results show that the proposed method works.

##### MSC:
 65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65L10 Numerical solution of boundary value problems involving ordinary differential equations 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 34B05 Linear boundary value problems for ordinary differential equations
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