Flux correction tools for finite elements
type: Item
instance of: scholarly article
title: Flux correction tools for finite elements
zbMATH Open document ID: 1028.76023
published in: Journal of Computational Physics
publication date: 2002-07-04T00:00:00Z
review text: The paper introduces a new approach for flux correction in the finite element context for convection-dominated problems. The new aspects concern the technique for the construction of non-oscillatory low-order schemes, the flux-based representation of anti-diffusive terms, and the extension of the FEM-FCT approach to implict time discretization. Several one- and two-dimensional numerical examples for scalar transport problems illustrate the good performance of the schemes in comparison with alternative approaches. Due to the fact that the schemes preserve positivity, strictly conserve mass, and provide sharp resolution of discontinuities, they appear to be very well suited for the considered type of problems. Also, possibilities for an extension of the schemes to incompressible flow problems are briefly discussed.
Mathematics Subject Classification ID: 76M10
zbMATH DE Number: 1763712
zbMATH Keywords: convection-dominated problems
zbMATH Keywords: finite elements
zbMATH Keywords: flux correction
zbMATH Keywords: unconditional stability
zbMATH Keywords: non-oscillatory low-order schemes
zbMATH Keywords: anti-diffusive terms
zbMATH Keywords: implicit time discretization
zbMATH Keywords: scalar transport problems
zbMATH Keywords: incompressible flow
author: Dmitri Kuzmin
author: S. Turek
describes a project that uses: FEATFLOW
describes a project that uses: SHASTA
MaRDI profile type: Publication
OpenAlex ID: W1973224983
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DOI: 10.1006/JCPH.2001.6955
description: scientific article; zbMATH DE number 1763712