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Jäger, W.; Kačur, J.

Solution of doubly nonlinear and degenerate parabolic problems by relaxation schemes. (English) Zbl 0837.65103

RAIRO, Modélisation Math. Anal. Numér. 29, No. 5, 605-627 (1995).
Authors’ abstract: A numerical method is proposed to solve degenerate doubly nonlinear parabolic problems. The degeneracy includes both: locally fast and slow diffusion. The proposed method is based on a nonstandard time discretization involving two relaxation functions by means of which the fast or slow diffusion is controlled. The relaxation functions are determined by iterations. A large scale of diffusion problems with free boundary or their approximations are included in the present setting.
Reviewer: M.Lenard (Kuwait)

Cited in 4 Reviews
Cited in 33 Documents

MSC:

65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
35K55 Nonlinear parabolic equations
35K65 Degenerate parabolic equations

Keywords:

degenerate doubly nonlinear parabolic problems; fast and slow diffusion; nonstandard time discretization; relaxation functions; free boundary
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\textit{W. Jäger} and \textit{J. Kačur}, RAIRO, Modélisation Math. Anal. Numér. 29, No. 5, 605--627 (1995; Zbl 0837.65103)
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