Discrete maximum principle for parabolic problems solved by prismatic finite elements.

Journal article

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. © 2009 IMACS.

Authors: Vejchodský, T; Korotov, S; Hannukainen, A

• Journal: Mathematics and Computers in Simulation
• Volume: 80
• Issue: 8
• Pages: 1758-1770
• Publication date: 2010-01-01
• DOI: 10.1016/j.matcom.2009.10.001
• ISSN: 0378-4754