Discrete maximum principle for parabolic problems solved by prismatic finite elements

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.

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Year of publication:	2010
Authors:	Vejchodský, Tomáš ; Korotov, Sergey ; Hannukainen, Antti
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 80.2010, 8, p. 1758-1770
Publisher:	Elsevier
Subject:	Parabolic problem \| Maximum principle \| Prismatic finite elements \| Discrete maximum principle

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011050189