Wavelet-based preconditioners for boundary integral equations
type: Item
instance of: scholarly article
title: Wavelet-based preconditioners for boundary integral equations
zbMATH Open document ID: 0921.65074
DOI: 10.1023/A:1018993624466
author: K. Appert
published in: Advances in Computational Mathematics
publication date: 1999-05-31T00:00:00Z
review text: This paper designs wavelet-based preconditioners for iterative methods concerning the Galerkin schemes for the first kind integral equations of hypersingular and weakly singular kernels. The preconditioners are based on the decomposition of piecewise-linear (piecewise-constant, respectively) prewavelets. It is proved that, due to the orthogonality property, the condition number is bounded independently of the dimension of the linear space of prewavelets.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 1279284
zbMATH Keywords: boundary integral equations
zbMATH Keywords: prewavelets
zbMATH Keywords: preconditioned conjugate gradient method
zbMATH Keywords: additive Schwarz method
zbMATH Keywords: hierarchical basis
zbMATH Keywords: Galerkin method
zbMATH Keywords: hypersingular and weakly singular kernels
zbMATH Keywords: condition number
MaRDI profile type: Publication
Recommended article: New wavelet preconditioner for solving boundary integral equations over nonsmooth boundaries
Recommended article: Preconditioning in a wavelet basis and its application to some boundary value problems
Recommended article: Q4429646
Recommended article: Q4327549
Recommended article: A wavelet multigrid preconditioner for Dirichlet boundary value problems in general domains
Recommended article: WAVELET METHODS FOR BOUNDARY INTEGRAL EQUATIONS
Recommended article: Wavelet Galerkin Algorithms for Boundary Integral Equations
Recommended article: A new wavelet preconditioner for finite difference operators
Recommended article: Q4951031
Recommended article: Q4667271
description: scientific article; zbMATH DE number 1279284