A Finite Volume Element Method for a Nonlinear Parabolic Problem
- 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
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.