A Fully Discrete BEM-FEM for the Exterior Stokes Problem in the Plane

Authors:
Salim Meddahi;Francisco-Javier Sayas
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2000

Citing 0
Cited 4

A combination of spectral and finite elements for an exterior problem in the plane

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A new BEM-FEM coupling strategy for two-dimensional fluid-solid interaction problems

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Coupling at a Distance HDG and BEM

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A-posteriori error analysis to the exterior Stokes problem

Applied Numerical Mathematics

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Abstract

We reformulate the Johnson--Nedelec approach for the exterior two-dimensional Stokes problem taking advantage of the parameterization of the artificial boundary. The main aim of this paper is the presentation and analysis of a fully discrete numerical method for this problem. This one responds to the needs of having efficient approximate quadratures for the weakly singular boundary integrals. We give a complete error analysis of both the Galerkin and fully discrete Galerkin methods.