A consistency analysis for the numerical solution of boundary integral equations
type: Item
instance of: scholarly article
title: A consistency analysis for the numerical solution of boundary integral equations
zbMATH Open document ID: 0619.65102
DOI: 10.1016/0168-9274(85)90002-9
published in: Applied Numerical Mathematics
publication date: 1985-01-01T00:00:00Z
review text: A method is presented for assessing the nature of the error incurred in the boundary integral equation (BIE) solution of both harmonic and biharmonic boundary value problems (BVPs). It is shown to what order of accuracy the governing partial differential equation is actually represented by the approximating numerical scheme, and how raising the order of the boundary ''shape functions'' affects this representation. The effect of varying both the magnitude and the aspect ratio of the solution domain is investigated; it is found that the present technique may suggest an optimum nondimensional scaling for the BIE solution of a particular harmonic or biharmonic BVP.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 45E05
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 31A30
zbMATH DE Number: 4005525
zbMATH Keywords: boundary integral equation methods
zbMATH Keywords: consistency
zbMATH Keywords: harmonic problem
zbMATH Keywords: biharmonic boundary value problems
author: Mark A. Kelmanson
describes a project that uses: MACSYMA
describes a project that uses: REDUCE
MaRDI profile type: Publication
full work available at URL: 0168-9274(85)90002-9
OpenAlex ID: W2070992483
cites work: Q3219912
cites work: The numerical solution of plane potential problems by improved boundary integral equation methods
cites work: Q3049321
cites work: An integral equation method for the solution of singular slow flow problems
cites work: AN ASYMPTOTIC INTEGRAL EQUATION METHOD FOR THE STUDY OF HEAT TRANSFER IN LONG, THIN DOMAINS
cites work: Integral equation solutions for simply supported polygonal plates
cites work: Q4741788
cites work: The Flow of a Non-Newtonian Fluid Past Projections and Depressions
cites work: Q3706491
cites work: Practical applications of an integral equation method for the solution of Laplace's equation
cites work: Q3326783
cites work: Q4728173
cites work: Q3875490
description: scientific article; zbMATH DE number 4005525