A Hybridized Discontinuous Galerkin FEM with Lifting Operator for Plane Elasticity Problems
We present a formulation of the hybridized DGFEM with lifting operator for the plane elasticity problem. To validate the formulation, we establish an inequality of the Korn type by following the method of proof due to Brenner [Math. Comp., 73 (2004), 1067–1087]. Using the inequality, we can demonstrate the well-posedness of a discrete problem arising in the formulation, and derive a priori error estimates for solutions of the discrete problem.