Fully-discrete H1-Galerkin mixed finite element method for pseudo-parabolic integro-differential equations

Abstract

In this paper, we discuss a fully-discrete $H^1$-Galerkin mixed finite element method for pseudo-parabolic integro-differential equations in one dimensional case. Optimal order error estimates for the scalar unknown and its gradient in $L^2$-norms and $H^1$-norms are obtained.