Coefficients of singularities and mixed methods for the mixed Dirichlet- Neumann problem for the Stokes operator on a polygon
type: Item
instance of: scholarly article
title: Coefficients of singularities and mixed methods for the mixed Dirichlet- Neumann problem for the Stokes operator on a polygon
zbMATH Open document ID: 0728.65101
DOI: 10.1016/0377-0427(91)90203-V
author: Mahieddine Chettab
author: Mbaro-Saman Lubuma
published in: Journal of Computational and Applied Mathematics
publication date: 1991-01-01T00:00:00Z
review text: The authors consider the stationary Stokes problem under mixed Dirichlet- Neumann boundary conditions in a (possibly nonconvex) polygonal domain. They derive explicit formulae for the coefficients appearing in the singular decomposition of the solution. Using these formulae, the classical finite element method is modified in such a way as to give better numerical approximations for the solution and these coefficients. Explicit estimates for the order of convergence are established.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 4203646
zbMATH Keywords: coefficients of singularities
zbMATH Keywords: Stokes problem
zbMATH Keywords: mixed Dirichlet-Neumann boundary conditions
zbMATH Keywords: singular decomposition
zbMATH Keywords: finite element method
zbMATH Keywords: order of convergence
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4203646