Mixed finite elements for the Richards' equation: linearization procedure

Authors:
I. S. Pop;F. Radu;P. Knabner
Affiliations:
Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, MB Eindhoven 5600, The Netherlands;Institute of Applied Mathematics, University Erlangen-Nürnberg, Martensstr, 3, Erlangen D-91058, Germany;Institute of Applied Mathematics, University Erlangen-Nürnberg, Martensstr, 3, Erlangen D-91058, Germany
Venue:
Journal of Computational and Applied Mathematics - Special issue: Selected papers from the 2nd international conference on advanced computational methods in engineering (ACOMEN2002) Liege University, Belgium, 27-31 May 2002
Year:
2004

Citing 5
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Abstract

We consider mixed finite 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 finite 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.