Error estimates for the finite volume discretization for the porous medium equation
نویسندگان
چکیده
منابع مشابه
Error estimates for the finite volume discretization for the porous medium equation
In this paper we analyze the convergence of a numerical scheme for a class of degenerate parabolic problems. Such problems are often used to model reactions in porous media, and involve a nonlinear, possibly vanishing diffusion. The scheme considered here involves the Kirchhoff transformation coupled with the regularization of the nonlinearity, and is based on the Euler implicit time stepping a...
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If the data has slightly more regularity, then this too is satisfied by the solution. Specifically, if m is no greater than two and u0 is Lipschitz continuous, then u( · , t) is also Lipschitz; if m is greater than two and (u 0 )x ∈ L(R), then (u( · , t))x ∈ L(R) (see [4]). (This will follow from results presented here, also.) We also use the fact that the solution u is Hölder continuous in t [...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2010
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.08.071