Error estimation of a quadratic finite volume method on right quadrangular prism grids
type: Item
instance of: scholarly article
title: Error estimation of a quadratic finite volume method on right quadrangular prism grids
zbMATH Open document ID: 1167.65062
author: Min Yang
author: Jiangguo Liu
author: Chuanjun Chen
published in: Journal of Computational and Applied Mathematics
publication date: 2009-06-11T00:00:00Z
review text: The authors are concerned with high order finite volume methods in order to solve Dirichlet problems for 3D linear elliptic partial differential equations. They develop some affine quadratic bases on right quadrangular prism meshes, prove an optimal error estimation and report some numerical experiments in order to underline the theoretical results.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 5564265
zbMATH Keywords: linear elliptic equations
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: error estimates
zbMATH Keywords: finite volume element methods
zbMATH Keywords: quadratic bases
zbMATH Keywords: right quadrangular prism meshes
zbMATH Keywords: second order accuracy
zbMATH Keywords: numerical examples
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
full work available at URL: j.cam.2008.10.036
OpenAlex ID: W1986193655
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DOI: 10.1016/J.CAM.2008.10.036
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description: scientific article; zbMATH DE number 5564265