The convergence of a direct BEM for the plane mixed boundary value problem of the Laplacian
type: Item
instance of: scholarly article
title: The convergence of a direct BEM for the plane mixed boundary value problem of the Laplacian
zbMATH Open document ID: 0661.65116
DOI: 10.1007/BF01396971
published in: Numerische Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133310
review text: The authors achieve a convergence analysis of a collocation method proposed to solve a mixed (Dirichlet and Neumann) boundary value problem for the Laplace equation in a smooth plane domain. They emphasize that up to that moment convergence results for collocation procedures with piecewise polynomial trial functions were available only in the cases when either the part of contour of domain with Dirichlet condition or the part of contour with Neumann condition vanishes. Some numerical examples are exposed.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 45F15
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 4080838
zbMATH Keywords: mixed boundary conditions
zbMATH Keywords: asymptotic error estimates
zbMATH Keywords: boundary element method
zbMATH Keywords: convergence
zbMATH Keywords: collocation method
zbMATH Keywords: Laplace equation
zbMATH Keywords: numerical examples
author: Gunther Schmidt
author: Hartmut Strese
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
cites work: Q5635885
cites work: Q3700325
cites work: Q3219912
cites work: Q3736253
cites work: Q3336036
cites work: Q3049321
cites work: On the Asymptotic Convergence of Collocation Methods With Spline Functions of Even Degree
cites work: On spline collocation methods for boundary integral equations in the plane
cites work: Q4169288
cites work: On the integral equation method for the plane mixed boundary value problem of the Laplacian
OpenAlex ID: W1995088282
description: scientific article; zbMATH DE number 4080838