- 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. © 2009 IMACS.
- Publisher copy:
- 10.1016/j.matcom.2009.10.001
-
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- Journal:
- Mathematics and Computers in Simulation
- Volume:
- 80
- Issue:
- 8
- Pages:
- 1758-1770
- Publication date:
- 2010-01-01
- DOI:
- ISSN:
-
0378-4754
- URN:
-
uuid:152e1f98-c938-48b4-bc96-a8adf69e3717
- Source identifiers:
-
398179
- Local pid:
- pubs:398179
- Copyright date:
- 2010
Journal article
Discrete maximum principle for parabolic problems solved by prismatic finite elements.
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