Discrete Kinetic Methods for a Degenerate Parabolic Equation in Dimension Two

Denise Aregba-Driollet ()
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Denise Aregba-Driollet: Université Bordeaux 1, IMB, MAB

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 373-380 from Springer

Abstract: Abstract We design finite volume schemes for two dimensional parabolic degenerate systems by using a kinetic, formally BGK, approach. The hyperbolic and parabolic parts are not splitted and the schemes are Riemann solver free. Moreover the spatial discretization can be written analytically, so that the implementation is easy. Some numerical tests are presented.

Keywords: Scalar Case; Volume Scheme; Porous Media Equation; Nonlinear Degenerate Parabolic Equation; Degenerate Parabolic System (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_31

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DOI: 10.1007/978-3-540-34288-5_31

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