ACMAC’s PrePrint Repository A Finite Volume Element Method for a Nonlinear Parabolic Problem

Abstract

We study a finite volume element discretization of a nonlinear parabolic equation in a convex polygonal domain. We show existence of the discrete solution and derive error estimates in L2– and H –norms. We also consider a linearized method and provide numerical results to illustrate our theoretical findings.

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Cite this paper

@inproceedings{Chatzipantelidis2017ACMACsPR, title={ACMAC’s PrePrint Repository A Finite Volume Element Method for a Nonlinear Parabolic Problem}, author={Panagiotis Chatzipantelidis and Victor Ginting}, year={2017} }