Multigrid methods for boundary integral equations
type: Item
instance of: scholarly article
title: Multigrid methods for boundary integral equations
zbMATH Open document ID: 0543.65015
DOI: 10.1007/BF01389491
author: H. Schippers
published in: Numerische Mathematik
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133001
review text: Multigrid methods are applied for solving algebraic systems of equations that occur to the numerical treatment of boundary integral equations of the first and second kind. These methods, originally formulated for partial differential equations of elliptic type, combine relaxation schemes and coarse grid corrections. The choice of the relaxation scheme is found to be essential to attain a fast convergent iterative process. Theoretical investigations show that the presented relaxation scheme provides a multigrid algorithm of which the rate of convergence increases with the dimension of the finest grid. This is illustrated for the calculation of potential flow around an aerofoil.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 3864380
zbMATH Keywords: Multigrid methods
zbMATH Keywords: boundary integral equations
zbMATH Keywords: relaxation
zbMATH Keywords: coarse grid corrections
zbMATH Keywords: rate of convergence
MaRDI profile type: Publication
cites work: Q3865721
cites work: The Two-Dimensional Oscillating Airfoil in a Wind Tunnel in Subsonic Flow
cites work: Q4082406
cites work: Q3802560
cites work: Q3324316
cites work: The stress analysis of multi-layered composites with a flaw
cites work: Layer potentials and acoustic diffraction
cites work: Q3908455
cites work: Multiple Grid Methods for the Solution of Fredholm Integral Equations of the Second Kind
cites work: Q5602723
cites work: Q3049321
cites work: INTEGRAL EQUATIONS FOR THE EXTERIOR ACOUSTIC PROBLEM
cites work: Berechnung der Druckverteilung an Gitterprofilen in ebener Potentialströmung mit einer Fredholmschen Integralgleichung
cites work: An integral equation approach to boundary value problems of classical elastostatics
cites work: Q3951500
cites work: Application of multigrid methods for integral equations to two problems from fluid dynamics
cites work: An integral equation method in conformal mapping
cites work: Q3909964
Recommended article: Multigrid method for integral equations
Recommended article: Q4356896
Recommended article: Q3725487
Recommended article: An iterative and multigrid solution of boundary integral equations
Recommended article: Q4532112
Recommended article: Q3765175
Recommended article: Q4224456
Recommended article: Q4723213
Recommended article: Q3809172
description: scientific article; zbMATH DE number 3864380