Discrete maximum principle for parabolic problems solved by prismatic finite elements

Tomáš Vejchodský, Sergey Korotov and Antti Hannukainen

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 8, 1758-1770

Abstract: 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 θ-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.

Keywords: Parabolic problem; Maximum principle; Prismatic finite elements; Discrete maximum principle (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:8:p:1758-1770

DOI: 10.1016/j.matcom.2009.10.001

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