New application of hypersingular equations in the boundary element method
type: Item
instance of: scholarly article
title: New application of hypersingular equations in the boundary element method
zbMATH Open document ID: 0766.65091
DOI: 10.1016/0045-7825(93)90130-P
author: Rudolf Dallner
author: G. Kuhn
author: Ryszard A. Bialecki
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1993-05-16T00:00:00Z
review text: The authors propose a new method of dealing Dirichlet corners and star points with a collocation based boundary element method (BEM). They supplement an appropriate number of discretized derivatives of boundary integral equations to the standard BEM scheme to obtain the same number of equations as unknowns. A method of calculating the hypersingular integrals is described and some numerical examples are given.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 30E20
zbMATH DE Number: 168846
zbMATH Keywords: Dirichlet corners
zbMATH Keywords: star points
zbMATH Keywords: collocation
zbMATH Keywords: boundary element method
zbMATH Keywords: boundary integral equations
zbMATH Keywords: hypersingular integrals
zbMATH Keywords: numerical examples
reviewed by: Gunther Schmidt
MaRDI profile type: Publication
cites work: A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
cites work: Q4010811
cites work: Q3219912
cites work: Q3965703
cites work: A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
cites work: A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
cites work: On nonsingular boundary integral equations for crack problems
cites work: Elimination of the boundary layer effect in BEM computation of stresses
full work available at URL: 0045-7825(93)90130-p
OpenAlex ID: W2015470081
description: scientific article; zbMATH DE number 168846