Analysis of new stabilized hp discontinuous Galerkin methods for elasticity problem

Abstract

In the paper, we propose three new hp discontinuous Galerkin methods for the elasticity problem and make a comparison of the three numerical methods. And we prove the optimal order of convergence in energy norm and $L^2$-norm by the superpenalization technique. Finally, we give a numerical example to verify our theoretical results.

arXiv comment21 pages,2 figures