Nonuniqueness in the integral equation formulation of the biharmonic equation in multiply connected domains
type: Item
instance of: scholarly article
title: Nonuniqueness in the integral equation formulation of the biharmonic equation in multiply connected domains
zbMATH Open document ID: 0629.73072
DOI: 10.1016/0045-7825(88)90188-0
author: Ambar K. Mitra
author: Shuvra Das
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: In the boundary integral equation method, the biharmonic equation is converted to a pair of integral equations by using Green's third identity. In multiply connected domains, for a particular exceptional geometry the integral equations do not have a unique solution. Additional constraint equations are derived to enforce uniqueness in such situations. Two example problems are solved to demonstrate the effectiveness of the constraints.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 31C20
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 4024931
zbMATH Keywords: boundary integral equation
zbMATH Keywords: biharmonic equation
zbMATH Keywords: pair of integral equations
zbMATH Keywords: Green's third identity
zbMATH Keywords: multiply connected domains
zbMATH Keywords: additional constraint equations
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90188-0
OpenAlex ID: W1979700560
cites work: Integral equation methods in potential theory. I
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cites work: The Eigenvalue Problem for a Pair of Coupled Integral Equations Arising in the Numerical Solution of Laplace’s Equation
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cites work: On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method
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description: scientific article; zbMATH DE number 4024931