Convergence of higer order finite volume schemes on irregular grids
type: Item
instance of: scholarly article
title: Convergence of higer order finite volume schemes on irregular grids
zbMATH Open document ID: 0834.65088
DOI: 10.1007/BF02431999
author: Sebastian Noelle
published in: Advances in Computational Mathematics
publication date: 1996-04-10T00:00:00Z
review text: This paper proves a convergence theorem for a family of finite volume schemes for systems of conservation laws in several spatial dimensions without the usual constraint that the grids be nearly cubical. The proof is based on the method of \textit{R. J. DiPerna} [Arch. Ration. Mech. Anal. 88, 223-270 (1985; Zbl 0616.35055)]. It is shown that the convergence theorem applies to variants of the MUSCL, ENO, and discontinuous Galerkin methods.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 803473
zbMATH Keywords: convergence
zbMATH Keywords: finite volume schemes
zbMATH Keywords: systems of conservation laws
zbMATH Keywords: MUSCL
zbMATH Keywords: ENO
zbMATH Keywords: discontinuous Galerkin methods
reviewed by: Gerald W. Hedstrom
describes a project that uses: SHASTA
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 803473