A fully discrete BEM-FEM for the exterior stokes problem in the plane

Authors
Meddahi, S Sayas, FJ
Citation
S. Meddahi et Fj. Sayas, A fully discrete BEM-FEM for the exterior stokes problem in the plane, SIAM J NUM, 37(6), 2000, pp. 2082-2102
Citations number
16
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
37
Issue
6
Year of publication
2000
Pages
2082 - 2102
Database
ISI
SICI code
0036-1429(20000526)37:6<2082:AFDBFT>2.0.ZU;2-2
Abstract
We reformulate the Johnson-Nedelec approach for the exterior two-dimensiona l 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.