A Finite Volume Element Method for a Nonlinear Parabolic Problem

Conference paper

DOI: 10.1007/978-1-4614-7172-1_7

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 45)
Cite this paper as:
Chatzipantelidis P., Ginting V. (2013) A Finite Volume Element Method for a Nonlinear Parabolic Problem. In: Iliev O., Margenov S., Minev P., Vassilevski P., Zikatanov L. (eds) Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications. Springer Proceedings in Mathematics & Statistics, vol 45. Springer, New York, NY

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 L2- and H1-norms. We also consider a linearized method and provide numerical results to illustrate our theoretical findings.

Keywords

Nonlinear parabolic problem Finite volume element method Error estimates 

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CreteHeraklionGreece
  2. 2.Department of MathematicsUniversity of WyomingLaramieUSA

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