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

I.S. Pop, M. Sepúlveda, F.A. Radu, O.P. Vera Villagrán

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)2135-2142
JournalJournal of Computational and Applied Mathematics
Volume234
Issue number7
DOIs
Publication statusPublished - 2010

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