Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes
type: Item
instance of: scholarly article
title: Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes
zbMATH Open document ID: 1170.65093
author: Antti Hannukainen
author: Sergey Korotov
author: Tomas Vejchodsky
published in: Journal of Computational and Applied Mathematics
publication date: 2009-03-30T00:00:00Z
review text: The authors consider the discrete maximum principle (DMP) for a stationary three-dimensional diffusion-reaction problem solved by means of prismatic finite elements (FEs). They derive geometric conditions on the shape parameters of the prismatic partitions which guarantee validity of the DMP a priori. The main result of this paper is a theorem where an ``easily verifiable condition'' is presented in order to guarantee the DMP. The authors also present numerical tests to show the sharpness of the theoretically obtained conditions.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 5534931
zbMATH Keywords: diffusion-reaction problem
zbMATH Keywords: prismatic finite elements
zbMATH Keywords: discrete maximum principle
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.cam.2008.08.029
OpenAlex ID: W1969440412
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DOI: 10.1016/J.CAM.2008.08.029
description: scientific article; zbMATH DE number 5534931