Symmetric modified finite volume element methods for selfadjoint elliptic and parabolic problems
type: Item
instance of: scholarly article
title: Symmetric modified finite volume element methods for selfadjoint elliptic and parabolic problems
zbMATH Open document ID: 1020.65066
DOI: 10.1016/S0377-0427(02)00370-9
published in: Journal of Computational and Applied Mathematics
publication date: 2003-02-23T00:00:00Z
review text: The author introduces a symmetric finite volume element method for selfadjoint elliptic and parabolic partial differential equations. The symmetry of the resulting linear system, which in usual approaches is non-symmetric, is obtained by adding a high-order term to the original system. Proofs of optimal order energy norm error estimates are given and it is shown that the difference between the symmetric and non-symmetric solutions is a high order term.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 1872832
zbMATH Keywords: finitie volume element method
zbMATH Keywords: error estimates
zbMATH Keywords: selfadjoint elliptic problem
zbMATH Keywords: selfadjoint parabolic problem
author: Hongxing Rui
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1872832