Article ID Journal Published Year Pages File Type
4640405 Journal of Computational and Applied Mathematics 2010 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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