A Lockingfree Finite Element Method for Elastic Vibration Problems 

发布日期: 20171213
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浏览次数: 10



摘要：A lockingfree 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 CrouziexRaviart (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16:0017:00 报告地点：上海师范大学（徐汇校区）3号楼3楼报告厅



