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Title: Instability of mixed finite elements for Richards' equation (English)
Author: Březina, Jan
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 6-11, 2010
Issue: 2010
Pages: 22-27
Category: math
Summary: Richards' equation is a widely used model of partially saturated flow in a porous medium. In order to obtain conservative velocity field several authors proposed to use mixed or mixed-hybrid schemes to solve the equation. In this paper, we shall analyze the mixed scheme on 1D domain and we show that it violates the discrete maximum principle which leads to catastrophic oscillations in the solution. (English)
Keyword: Richard's equation
Keyword: flow in porous media
Keyword: mixed finite element method
Keyword: discrete maximum principle
MSC: 35B50
MSC: 76M10
MSC: 76S05
Date available: 2015-07-08T06:48:57Z
Last updated: 2023-06-05
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