A hybridized weak Galerkin finite element scheme for linear elasticity problem

Abstract

In this paper, we present a hybridized weak Galerkin finite element method for a class of a linear elasticity model. The hybridized weak Galerkin finite element method is an improvement of the standard weak Galerkin method by introducing Lagrange multipliers, which relaxes certain constraints and inherits its flexibility. By applying Schur complement technique, the degrees of freedom is reduced and the calculation efficiency is improved. The optimal convergence orders of error estimates are achieved. Some numerical experiments are presented to illustrate the theoretical analysis.