Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes

被引：14
|
作者：
Hannukainen, Antti [2 ]
Korotov, Sergey [2 ]
Vejchodsky, Tomas [1 ]
机构：
[1] Acad Sci Czech Republ, Inst Math, CZ-11567 Prague 1, Czech Republic
[2] Aalto Univ, Inst Math, FIN-02015 Espoo, Finland
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 226卷 / 02期
基金：
芬兰科学院;
关键词：
Diffusion-reaction problem; Maximum principle; Prismatic finite elements; Discrete maximum principle; SCHEMES;
D O I：
10.1016/j.cam.2008.08.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：275 / 287
页数：13
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