报告题目：Weak Galerkin finite element method for elasticity problems

报告人：霍富昌 香港理工大学应用数学系

报告时间：2025年11月30日 下午15:20-16:00

报告地点：#腾讯会议：304601182

校内联系人：张剑桥 [email protected]

报告摘要：

In this work, we present recent advances in the weak Galerkin (WG) finite element methods for linear elasticity and elastodynamics.  By incorporating an appropriate H(div)-conforming displacement reconstruction operator,  we develop arbitrary-order WG schemes that achieve optimal convergence in the H1- and L2-norms and remain uniformly independent of the Lamé parameter, thereby ensuring locking-free performance. For elastodynamics problems, both semi-discrete and fully discrete WG formulations are established and analyzed, with stability and optimal error estimates derived without recourse to Gronwall's inequality. Furthermore, a reconstructed WG framework is introduced, enabling high-order accuracy with only one degree of freedom per element over general polygonal and polyhedral meshes. Numerical experiments confirm the accuracy, robustness, and computational efficiency of the proposed methods.

报告人简介：霍富昌, 2025年于吉林大学获得博士学位，目前为香港理工大学应用数学系博士后，主要研究方向为非标准有限元方法及其在固体力学中的应用。