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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Vydané v:	Applied numerical mathematics Ročník 56; číslo 10; s. 1370 - 1382
Hlavný autor:	Maischak, Matthias
Médium:	Journal Article Konferenčný príspevok..
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier B.V 01.10.2006 Elsevier
Predmet:	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
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