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Discrete maximum principle for parabolic problems solved by prismatic finite elements
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SYSNO ASEP 0352123 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Discrete maximum principle for parabolic problems solved by prismatic finite elements Author(s) Vejchodský, Tomáš (MU-W) RID, SAI, ORCID
Korotov, S. (FI)
Hannukainen, A. (FI)Source Title Mathematics and Computers in Simulation. - : Elsevier - ISSN 0378-4754
Roč. 80, č. 8 (2010), s. 1758-1770Number of pages 13 s. Language eng - English Country NL - Netherlands Keywords parabolic problem ; maximum principle ; prismatic finite elements ; discrete maximum principle Subject RIV BA - General Mathematics R&D Projects GA102/07/0496 GA ČR - Czech Science Foundation (CSF) IAA100760702 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000278820500019 EID SCOPUS 77953128053 DOI 10.1016/j.matcom.2009.10.001 Annotation In this paper we analyze the discrete maximum principle (DMP) for a non-stationary diffusion reaction problem solved by means of prismatic finite elements and theta-method. We derive geometric conditions on the shape parameters of prismatic partitions and time-steps which a priori guarantee validity of the DMP. The presented numerical tests illustrate 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
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