Applications of the local boundary integral equation technique to potential problems
type: Item
instance of: scholarly article
title: Applications of the local boundary integral equation technique to potential problems
zbMATH Open document ID: 0781.65089
DOI: 10.1016/0307-904X(93)90046-J
author: S. Askin
author: Roger T. Fenner
published in: Applied Mathematical Modelling
publication date: 1993-08-17T00:00:00Z
review text: Local boundary integral equation (LBIE) methods can be used if evaluation of the solution is required not over the whole boundary but only a small part of it. The paper briefly reviews the basic principles of two LBIE methods based on Taylor and Fourier series expansions for two-dimensional potential problems. To show the accuracy of both methods, a number of potential functions with polynomial, hyperbolic, and logarithmic variations are applied to square and annular domains, and numerical results for some test cases are given.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 31A30
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 218707
zbMATH Keywords: boundary element method
zbMATH Keywords: local boundary integral equation methods
zbMATH Keywords: Taylor and Fourier series expansions
zbMATH Keywords: two-dimensional potential problems
zbMATH Keywords: numerical results
reviewed by: Johannes Elschner
MaRDI profile type: Publication
cites work: Local boundary integral equation analysis of 2-dimensional potential problems using Fourier series
cites work: A local boundary integral equation method for potential problems
Wikidata QID: Q126644757
description: scientific article; zbMATH DE number 218707