Error estimate for a finite element approximation of the solution of a linear parabolic equation on a two-dimensional surface

Abstract

We show that a certain error estimate for a fully discrete finite element approximation of the solution of the heat equation which is defined in a two-dimensional Euclidean domain carries over to the case of a general linear parabolic equation which is defined on a two-dimensional surface.

Cited by in corpus (1)

• Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems