Analysis of stabilized finite volume method for Poisson equation
type: Item
instance of: scholarly article
zbMATH Open document ID: 1276.65065
DOI: 10.3846/13926292.2013.805172
published in: Mathematical Modelling and Analysis
publication date: 2013-09-03T00:00:00Z
Mathematics Subject Classification ID: 65N08
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 6204334
zbMATH Keywords: finite volume method
zbMATH Keywords: Poisson equation
zbMATH Keywords: projection method
zbMATH Keywords: superconvergence
zbMATH Keywords: optimal error estimates
zbMATH Keywords: algorithm
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3846/13926292.2013.805172
OpenAlex ID: W2125859645
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title: Analysis of stabilized finite volume method for Poisson equation
author: Tong Zhang
author: Pengzhan Huang
author: Shunwei Xu
review text: This paper presents a theoretical study of the stabilized finite volume method for the Poisson equation on a planar domain with piecewise Lipschitz boundary. The authors introduce a new mixed variational formulation in order to derive optimal error estimates of the algorithm. By means of \(L^2\)-projection method the superconvergence of the algorithm is investigated. Various numerical experiments are also presented.
reviewed by: Marius Ghergu
description: scientific article; zbMATH DE number 6204334