Sparse \(p\)-version BEM for first kind boundary integral equations with random loading
type: Item
instance of: scholarly article
title: Sparse \(p\)-version BEM for first kind boundary integral equations with random loading
zbMATH Open document ID: 1177.65191
author: Alexey Chernov
author: Christoph Schwab
published in: Applied Numerical Mathematics
publication date: 2009-09-28T00:00:00Z
review text: The authors study the application of the boundary element method (BEM) to solve the integral equation \[ -\frac{1}{2\pi}\int_{\Gamma} \Phi(x,y)u(y)ds_{y}=g(x) \] in the space \(H^{1/2}(\Gamma)\), where the kernel \(\Phi(x,y)=\log\|x-y\|\). The determination of an approximate solution of this equation uses the notion of the tensor product of two Sobolev spaces.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 45R05
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65C30
Mathematics Subject Classification ID: 60H20
zbMATH DE Number: 5608053
zbMATH Keywords: random data
zbMATH Keywords: sparse grids
zbMATH Keywords: \(p\)-version
zbMATH Keywords: singular integral equation
zbMATH Keywords: Galerkin method
zbMATH Keywords: tensor product
zbMATH Keywords: boundary element method
zbMATH Keywords: Sobolev spaces
reviewed by: Ivan Secrieru
MaRDI profile type: Publication
full work available at URL: j.apnum.2008.12.023
OpenAlex ID: W2093680504
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DOI: 10.1016/J.APNUM.2008.12.023
description: scientific article; zbMATH DE number 5608053