Date: 12 May 2013

A Finite Volume Element Method for a Nonlinear Parabolic Problem

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Abstract

We study a finite volume element discretization of a nonlinear parabolic equation in a convex polygonal domain. We show the existence of the discrete solution and derive error estimates in L 2- and H 1-norms. We also consider a linearized method and provide numerical results to illustrate our theoretical findings.