H1- Galerkin mixed finite element approximation of one class of heat transport equations

Abstract

In this paper, we investigate a fully discrete H1-Galerkin mixed finite element approximation of a class of heat transport equations. The Crank-Nicloson scheme is used for time discretization. Optimal error estimates in L2-norm for the unknown function and its gradient function are obtained. A numerical example is presented to illustrate the theoretical findings.