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Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes

SYSNO ASEP	0358616
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes
Author(s)	Hannukainen, A. (FI) Korotov, S. (FI) Vejchodský, Tomáš (MU-W)_{RID, SAI, ORCID}
Source Title	Journal of Computational and Applied Mathematics. - : Elsevier - ISSN 0377-0427 Roč. 226, č. 2 (2009), s. 275-287
Number of pages	13 s.
Language	eng - English
Country	NL - Netherlands
Keywords	Diffusion-reaction problem ; Maximum principle ; Prismatic finite elements
Subject RIV	BA - General Mathematics
R&D Projects	IAA100760702 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
UT WOS	000264670400010
DOI	10.1016/j.cam.2008.08.029
Annotation	In this paper we analyse the discrete maximum principle (DMP) for a stationary diffusion-reaction problem solved by means of prismatic finite elements. We derive geometric conditions on the shape parameters of the prismatic partitions which guarantee validity of the DMP. The presented numerical tests show the sharpness of the obtained conditions.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1