A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle
type: Item
instance of: scholarly article
title: A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle
zbMATH Open document ID: 0553.76075
DOI: 10.1016/0045-7825(85)90089-1
author: Akira Mizukami
author: T. J. R. Hughes
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1985-01-01T00:00:00Z
review text: In this paper we present a new Petrov-Galerkin method for convection- dominated flow problems which is conservative and satisfies the discrete maximum principle. This method also possesses no spurious crosswind diffusion and gives very accurate solutions. The method is representative of a class of methods which may be described as 'fixed-mesh adaptive'.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3882104
zbMATH Keywords: discrete maximum principle
zbMATH Keywords: optimal upwind/Petrov-Galerkin method
MaRDI profile type: Publication
full work available at URL: 0045-7825(85)90089-1
OpenAlex ID: W2063214641
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description: scientific article; zbMATH DE number 3882104