Multiplicative Schwarz algorithms for the p-version Galerkin boundary element method in 3D

We study a 2-level multiplicative Schwarz method for the p version Galerkin boundary element method for a weakly singular integral equation of the first kind in 3D. We prove that the rate of convergence of the multiplicative Schwarz operator for the p version grows only logarithmically in p and is i...

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Bibliographic Details
Published in:	Applied numerical mathematics Vol. 56; no. 10; pp. 1370 - 1382
Main Author:	Maischak, Matthias
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Amsterdam Elsevier B.V 01.10.2006 Elsevier
Subjects:	Exact sciences and technology Mathematics Multiplicative Schwarz operator Numerical analysis Numerical analysis. Scientific computation p-version boundary integral equation method Partial differential equations, boundary value problems Preconditioned conjugate gradient algorithm Sciences and techniques of general use Multiplicative Schwarz operator Preconditioned conjugate gradient algorithm 65N55 p-version boundary integral equation method 65N38 Conjugate gradient method Convergence acceleration Singular equation Schwarz method Numerical analysis Applied mathematics First integral Convergence rate Galerkin method Preconditioning Boundary element method Boundary integral equations
ISSN:	0168-9274, 1873-5460
Online Access:	Get full text
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