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