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Error estimates for the finite volume discretization for the porous medium equation

✍ Scribed by I.S. Pop; M. Sepúlveda; F.A. Radu; O.P. Vera Villagrán

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
323 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis

We analyze the convergence of a numerical scheme for a class of degenerate parabolic problems modelling reactions in porous media, and involving a nonlinear, possibly vanishing diffusion. The scheme involves the Kirchhoff transformation of the regularized nonlinearity, as well as an Euler implicit time stepping and triangle based finite volumes. We prove the convergence of the approach by giving error estimates in terms of the discretization and regularization parameter.

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