Mixed finite elements for the Richards' equation: Linearization procedure

Pop IS, Radu AF, Knabner P (2004)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2004

Journal

Journal of Computational and Applied Mathematics Elsevier

Publisher: Elsevier

Book Volume: 168

Pages Range: 365-373

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_PopRaduKn_MixedFiniteElementsForRichardsEquationLinearProcedure

DOI: 10.1016/j.cam.2003.04.008

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. © 2003 Elsevier B.V. All rights reserved.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Eindhoven University of Technology / Technische Universiteit Eindhoven (TU/e) NL Netherlands (NL) University of Bergen / Universitetet i Bergen NO Norway (NO)

How to cite

APA:

Pop, I.S., Radu, A.F., & Knabner, P. (2004). Mixed finite elements for the Richards' equation: Linearization procedure. Journal of Computational and Applied Mathematics, 168, 365-373. https://dx.doi.org/10.1016/j.cam.2003.04.008

MLA:

Pop, Iuliu Sorin, Adrian Florin Radu, and Peter Knabner. "Mixed finite elements for the Richards' equation: Linearization procedure." Journal of Computational and Applied Mathematics 168 (2004): 365-373.

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