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

Florin A. Radu (), Iuliu Sorin Pop () and Peter Knabner ()
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Florin A. Radu: University Erlangen-Nürnberg, Institute of Applied Mathematics
Iuliu Sorin Pop: Technische Universiteit Eindhoven, CASA
Peter Knabner: University Erlangen-Nürnberg, Institute of Applied Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 1192-1200 from Springer

Abstract: 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.

Keywords: Newton Method; Parabolic Problem; Degenerate Parabolic Equation; Relaxation Scheme; Discrete Counterpart (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_120

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

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