Error estimates using the cell discretization method for steady-state convection-diffusion equations
type: Item
instance of: scholarly article
title: Error estimates using the cell discretization method for steady-state convection-diffusion equations
zbMATH Open document ID: 0888.65114
DOI: 10.1016/S0377-0427(97)00051-4
author: Howard Swann
published in: Journal of Computational and Applied Mathematics
publication date: 1998-05-13T00:00:00Z
review text: The cell discretization algorithm is applied to generate approximate solutions for some second-order non-selfadjoint elliptic equations. General convergence for homogeneous problems is shwon by obtaining suitable error estimates. The method is applied using polynomial bases; this provides a nonconforming extension of the finite element method that can also produce the continuous approximations of an \(h\)-\(p\) finite element method. Numerical tests on convection-diffusion problems are made that confirm the theoretical estimates, and methods for dealing with boundary layer problems are illustrated.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 1084103
zbMATH Keywords: numerical tests
zbMATH Keywords: cell discretization algorithm
zbMATH Keywords: second-order non-selfadjoint elliptic equations
zbMATH Keywords: convergence
zbMATH Keywords: error estimates
zbMATH Keywords: \(h\)-\(p\) finite element method
zbMATH Keywords: convection-diffusion problems
zbMATH Keywords: boundary layer
describes a project that uses: LAPACK
describes a project that uses: LINPACK
MaRDI profile type: Publication
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full work available at URL: s0377-0427(97)00051-4
OpenAlex ID: W2092596575
description: scientific article; zbMATH DE number 1084103