A discontinuous Galerkin method for the Reissner–Mindlin plate in the primitive variables

摘要

In this paper, we derive a discontinuous Galerkin finite element formulation for the Reissner–Mindlin plate problem. Discontinuous piecewise linear functions with bubble are used to approximate the rotation and nonconforming piecewise linear functions are used to approximate the transverse displacement. Optimal error estimates are obtained which are independent of the thickness of the plate.