On the boundary element method for the Signorini problem of the Laplacian
type: Item
instance of: scholarly article
title: On the boundary element method for the Signorini problem of the Laplacian
zbMATH Open document ID: 0798.65106
DOI: 10.1007/BF01385756
author: W. Spann
published in: Numerische Mathematik
publication date: 1994-05-18T00:00:00Z
full work available at URL: https://eudml.org/doc/133739
review text: For the Laplace equation with mixed boundary conditions of Signorini, Dirichlet and Neumann type two equivalent boundary variational inequalities are deduced. The second formulation, which is dual to the first, allows only Sigorini boundary conditions to be posed. Further, the discretization by a boundary element Galerkin method is described and quasi-optimal error estimates are given. The discretized problems are equivalent to quadratic optimization problems. A modified decomposition- coordination method is applied for its solution. Numerical examples confirm the predicted rate of convergence.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 569162
zbMATH Keywords: numerical examples
zbMATH Keywords: Laplace equation
zbMATH Keywords: boundary variational inequalities
zbMATH Keywords: Sigorini boundary conditions
zbMATH Keywords: boundary element Galerkin method
zbMATH Keywords: quasi- optimal error estimates
zbMATH Keywords: decomposition-coordination method
zbMATH Keywords: convergence
reviewed by: Andreas Pomp
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 569162