Newton - Type Methods for the Mixed Finite Element Discretization of Some Degenerate Parabolic Equations

Radu AF, Pop IS, Knabner P (2006)

Publication Type: Book chapter / Article in edited volumes

Publication year: 2006

Publisher: Springer

Edited Volumes: Numerical Mathematics and Advanced Applications

City/Town: Berlin, Heidelberg

Pages Range: 1192-1200

ISBN: 978-3-540-34287-8

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2006/2006_RaduPopKn_NewtonTypMethFrMixedFinitElemtDiscretizOfSomeDegeneraParabolEquat

DOI: 10.1007/978-3-540-34288-5_120

Abstract

In this paper we discuss some iterative approaches for solving the nonlinear algebraic systems encountered as fully discrete counterparts of some degenerate (fast diffusion) parabolic problems. After regularization, we combine a mixed finite element discretization with the Euler implicit scheme. For the resulting systems we discuss three iterative methods and give sufficient conditions for convergence.

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)

Netherlands (NL) University of Bergen / Universitetet i Bergen

Norway (NO)

How to cite

APA:

Radu, A.F., Pop, I.S., & Knabner, P. (2006). Newton - Type Methods for the Mixed Finite Element Discretization of Some Degenerate Parabolic Equations. In Alfredo Bermúdez de Castro, Dolores Gómez, Peregrina Quintela, Pilar Salgado (Eds.), Numerical Mathematics and Advanced Applications. (pp. 1192-1200). Berlin, Heidelberg: Springer.

MLA:

Radu, Adrian Florin, Iuliu Sorin Pop, and Peter Knabner. "Newton - Type Methods for the Mixed Finite Element Discretization of Some Degenerate Parabolic Equations." Numerical Mathematics and Advanced Applications. Ed. Alfredo Bermúdez de Castro, Dolores Gómez, Peregrina Quintela, Pilar Salgado, Berlin, Heidelberg: Springer, 2006. 1192-1200.

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