Solving negative order equations by the multigrid method via variable substitution
type: Item
instance of: scholarly article
title: Solving negative order equations by the multigrid method via variable substitution
zbMATH Open document ID: 1307.65172
author: George C. Hsiao
author: Liwei Xu
author: Shangyou Zhang
published in: Journal of Scientific Computing
publication date: 2014-11-25T00:00:00Z
review text: The authors propose a numerical solution of boundary element equations of negative order one, arising from exterior boundary value problems. For this purpose, they introduce variable substitutions to the single layer potential equations such that the order of the pseudo-differential operator is changed from minus one to plus one. The resulting linear system of boundary element equations is solved by a multigrid method.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 6373619
zbMATH Keywords: boundary element method
zbMATH Keywords: single layer potential
zbMATH Keywords: first kind integral equation
zbMATH Keywords: negative-order pseudo-differential operator
zbMATH Keywords: multigrid method
zbMATH Keywords: exterior boundary value problem
MaRDI profile type: Publication
full work available at URL: s10915-013-9762-4
OpenAlex ID: W1978248508
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DOI: 10.1007/S10915-013-9762-4
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description: scientific article; zbMATH DE number 6373619