H1-Galerkin Mixed Finite Element Method for the Viscoelasticity Type Equation

Abstract

In this paper, an H1-Galerkin mixed finite element method is proposed to simulate the viscoelasticity type equation. The problem is considered in n-dimentional (n-dimentional (n≪4) space, respective. The optimal error estimates are also established. In particular, our methods can simultaneously approximate the scalar unknown and the vector flux effectively, without requiring the LBB consistency condition.