An -Galerkin mixed finite element method for a class of heat transport equations

Abstract: In this paper, we discuss an -Galerkin mixed finite element method for a class of heat transport equations in the one-dimensional case. Optimal error estimates in -norm and -norm are obtained for both semi-discrete and fully discrete approximation scheme. Moreover, a numerical example is presented to illustrate the effectiveness of the method. [Copyright &y& Elsevier]