Mixed &nite elements for the Richards’ equation: linearization procedure

Mixed &nite elements for the Richards’ equation: linearization procedure
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理查兹方程的混合有限元：线性化过程

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发表时间：
2004
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通讯作者：
P. Knabnerb
P. Knabnerb
中科院分区：
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文献类型：
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作者：
I. S. Popa;F. Radub;P. Knabnerb

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本文考虑一类退化抛物型问题的混合有限元离散，其中包括理查兹方程.正则化后，时间离散采用欧拉隐式格式，空间离散采用混合有限元。基于Radu et al. RANA Preprint 02-06，埃因霍温理工大学，2002中的结果，本文考虑了一个简单的迭代格式来求解新出现的非线性椭圆问题.© 2003 Elsevier B. V.保留所有权利。
We consider mixed &nite element discretization for a class of degenerate parabolic problems including the Richards’ equation. After regularization, time discretization is achieved by an Euler implicit scheme, while mixed &nite elements are employed for the discretization in space. Based on the results obtained in (Radu et al. RANA Preprint 02-06, Eindhoven University of Technology, 2002), this paper considers a simple iterative scheme to solve the emerging nonlinear elliptic problems. c © 2003 Elsevier B.V. All rights reserved.