A-posteriori estimates and adaptive schemes for transmission problems
type: Item
instance of: scholarly article
title: A-posteriori estimates and adaptive schemes for transmission problems
zbMATH Open document ID: 0918.65073
author: Reinhard Hochmuth
published in: Journal of Integral Equations and Applications
publication date: 1999-08-01T00:00:00Z
full work available at URL: Cont10-1.html
review text: The author presents a boundary-integral method for transmission problems for the Helmholtz equation on polygonal domains in the plane. The integral equation is solved by a Galerkin method using a multiscale basis. Efficient and reliable a posteriori error estimates are derived, and they are used in an adaptive quadrature scheme.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1236209
zbMATH Keywords: boundary-integral method
zbMATH Keywords: multiscale basis
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: Galerkin method
zbMATH Keywords: error estimates
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
OpenAlex ID: W2062478961
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DOI: 10.1216/JIEA/1181074207
description: scientific article; zbMATH DE number 1236209