On the numerical treatment of viscous flows against bodies with corners and edges by boundary element and multigrid methods
type: Item
instance of: scholarly article
title: On the numerical treatment of viscous flows against bodies with corners and edges by boundary element and multigrid methods
zbMATH Open document ID: 0643.76028
DOI: 10.1007/BF01401023
author: F.-K. Hebeker
published in: Numerische Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133226
review text: This is an attempt to develop efficient numerical algorithms to solve the exterior boundary value problems for slow viscous flow under the assumption that exterior forces form a conservative system. The governing equations are formulated in the form of a suitable system of boundary integral equations. The boundary element method is used to reduce the problem to solving an algebraic system and the approximation procedure is analysed for uniform asymptotic convergence. A new multigrid procedure is proposed to solve the system efficiently. A numerical example is given to illustrate the mathematically developed method.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 4049227
zbMATH Keywords: numerical algorithms
zbMATH Keywords: exterior boundary value problems
zbMATH Keywords: slow viscous flow
zbMATH Keywords: exterior forces
zbMATH Keywords: conservative system
zbMATH Keywords: boundary integral equations
zbMATH Keywords: boundary element method
zbMATH Keywords: uniform asymptotic convergence
zbMATH Keywords: multigrid procedure
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4049227