摘要🤽🏼‍♂️：A locking-free finite element method is introduced for solving elastic vibration problems. The discretization in time is carried out using the $P_1$-continuous discontinuous Galerkin (CDG) method, while the spatial discretization is based on the Crouziex-Raviart (CR) element. It is shown after a technical derivation that the error in the energy norm is bounded by $O(h+k)$, where $h$ and $k$ denote the mesh sizes of the subdivisions in space and time, respectively. Under some regularity assumptions on the exact solution, the error bound is independent of the Lam\'{e} coefficients of the elastic material under discussion. Several numerical experiments are reported to illustrate numerical performance of the proposed method. This is a joint work with Yuling Guo from Shanghai Jiao Tong University and Junjiang Lai from Minjiang College.

报告人🦸🏿：上海交通大学  黄建国教授

报告时间：2017年12月13日（周三）下午16:00-17:00

报告地点：上海顺盈平台娱乐（徐汇校区）3号楼3楼报告厅