The boundary contour method for two-dimensional Stokes flow and incompressible elastic materials
type: Item
instance of: scholarly article
title: The boundary contour method for two-dimensional Stokes flow and incompressible elastic materials
zbMATH Open document ID: 1023.76030
author: T. Kaplan
author: T.-N. Phan
author: A.-V. Phan
author: L. J. Gray
published in: Computational Mechanics
publication date: 2002-12-01T00:00:00Z
review text: By observing that the integrand vector of the boundary integral equation for two-dimensional Stokes equations or for the equations for incompressible elastic materials is divergence free, the authors show that the line integrals can be converted to path-independent integrals which do not require any numerical integration. Numerical solutions for some well-known examples are compared with analytical ones to validate the development. The numerical implementation is based on a penalty function approach which requires a more rigorous choice of the penalty parameter in a future work.
Mathematics Subject Classification ID: 76M15
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 1837138
zbMATH Keywords: boundary contour method
zbMATH Keywords: divergence-free integrand vector
zbMATH Keywords: two-dimensional Stokes equations
zbMATH Keywords: incompressible elastic materials
zbMATH Keywords: line integrals
zbMATH Keywords: path-independent integrals
zbMATH Keywords: penalty function approach
reviewed by: Daniel Lesnic
MaRDI profile type: Publication
full work available at URL: s00466-002-0309-z
OpenAlex ID: W2045509169
DOI: 10.1007/S00466-002-0309-Z
description: scientific article; zbMATH DE number 1837138