Convergence analysis of an upwind finite volume element method with crouzeix-raviart element for non-selfadjoint and indefinite problems
type: Item
instance of: scholarly article
title: Convergence analysis of an upwind finite volume element method with crouzeix-raviart element for non-selfadjoint and indefinite problems
zbMATH Open document ID: 1167.65060
author: Chunjia Bi
author: Hongxing Rui
published in: Frontiers of Mathematics in China
publication date: 2009-02-17T00:00:00Z
review text: Based on Crouzeix-Raviart non-conforming elements for self-adjoint elliptic problems, the authors construct an upwind finite volume element scheme. An optimal order \(H^1\)-norm error estimate is established. Moreover, under minimal elliptic regularity assumption, the authors obtain a uniform convergence.
reviewed by: Yasar Sozen
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 5508634
zbMATH Keywords: Finite volume element method
zbMATH Keywords: upwind method
zbMATH Keywords: Crouzeix-Raviart element
zbMATH Keywords: convergence
zbMATH Keywords: convection-diffusion problem
zbMATH Keywords: self-adjoint elliptic problems
zbMATH Keywords: error estimate
MaRDI profile type: Publication
full work available at URL: s11464-008-0034-9
OpenAlex ID: W2202480512
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DOI: 10.1007/S11464-008-0034-9
description: scientific article; zbMATH DE number 5508634