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 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. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
discrete maximum principle maximum principle parabolic problem prismatic finite elements