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Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes
- 1.0358616 - MÚ 2011 RIV NL eng J - Journal Article
Hannukainen, A. - Korotov, S. - Vejchodský, Tomáš
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes.
Journal of Computational and Applied Mathematics. Roč. 226, č. 2 (2009), s. 275-287. ISSN 0377-0427. E-ISSN 1879-1778
R&D Projects: GA AV ČR IAA100760702
Keywords : Diffusion-reaction problem * Maximum principle * Prismatic finite elements
Subject RIV: BA - General Mathematics
Impact factor: 1.292, year: 2009
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.
Permanent Link: http://hdl.handle.net/11104/0196589
Number of the records: 1