Analysis of new stabilized hp discontinuous Galerkin methods for elasticity problem
arXiv:1602.03094h-index: 10
Originality Synthesis-oriented
AI Analysis
Provides new numerical methods for solving elasticity problems, but the contribution is incremental as it extends existing DG techniques.
The paper proposes three new hp discontinuous Galerkin methods for the elasticity problem, proves optimal convergence rates in energy and L2 norms using superpenalization, and validates the theory with a numerical example.
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.