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Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes |
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| Authors: | Antti Hannukainen Sergey Korotov Tomáš Vejchodský |
| Institution: | 1. Institute of Mathematics, Helsinki University of Technology, P.O. Box 1100, FIN-02015 Espoo, Finland;2. Institute of Mathematics, Czech Academy of Sciences, ?itná 25, CZ-115 67 Prague 1, Czech Republic |
| Abstract: | In this paper we analyse the discrete maximum principle (DMP) for a stationary diffusion-reaction problem solved by means of prismatic finite elements. We derive geometric conditions on the shape parameters of the prismatic partitions which guarantee validity of the DMP. The presented numerical tests show the sharpness of the obtained conditions. |
| Keywords: | 65N30 65N50 35B50 35J25 |
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