Discrete maximum principle for parabolic problems solved by prismatic finite elements

作者：Vejchodsky Tomas^*; Korotov Sergey; Hannukainen Antti

来源：Mathematics and Computers in Simulation, 2010, 80(8): 1758-1770.

DOI：10.1016/j.matcom.2009.10.001

• Parabolic problem
• Maximum principle
• Prismatic finite elements
• Discrete maximum principle

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 theta-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.

• 出版日期2010-4