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

0358616 - MÚ 2011 RIV NL eng J - Článek v odborném periodiku
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
Grant CEP: GA AV ČR IAA100760702
Klíčová slova: Diffusion-reaction problem * Maximum principle * Prismatic finite elements
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.292, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0196589