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Numerical analysis of nonlinear elliptic-parabolic equations

Published online by Cambridge University Press:  15 April 2002

Emmanuel Maitre
Emmanuel Maitre*
Affiliation:
Laboratoire de Mathématiques et Application, Université de Haute-Alsace, 4 rue des frères Lumière, 68093 Mulhouse Cedex, France. E.Maitre@univ-mulhouse.fr.
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Abstract

This paper deals with the numerical approximation of mild solutions of elliptic-parabolic equations, relying on the existence results of Bénilan and Wittbold (1996). We introduce a new and simple algorithm based on Halpern's iteration for nonexpansive operators (Bauschke, 1996; Halpern, 1967; Lions, 1977), which is shown to be convergent in the degenerate case, and compare it with existing schemes (Jäger and Kačur, 1995; Kačur, 1999).

Keywords

Elliptic-parabolicnumericaliterative method.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 1 , January 2002 , pp. 143 - 153
Copyright
© EDP Sciences, SMAI, 2002

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References

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