科研之友
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摘要
Our purpose is to analyze mixed continuous and discontinuous Galerkin discretizations of the time harmonic elasticity problem. The symmetry of the Cauchy stress tensor is imposed weakly, as in the traditional dual-mixed setting. Under appropriate conditions on the wave number kappa and the mesh size h, we prove asymptotic stability of the continuous and discontinuous Galerkin schemes uniformly in h, kappa, and the Lame coefficient lambda. We also derive for each scheme optimal a priori error bounds in the energy norm. Several numerical tests are presented in order to illustrate the performance of the methods and confirm the theoretical results.
- 出版日期2015
