报告题目：Novel Weak Galerkin (WG) Finite Element Methods for Various Types of PDEs
报 告 人：刘江国 教授（美国科罗拉多州立大学）
报告时间：2024年6月24日（周一）上午10：00
报告地点：数学楼114（小报告厅）
邀 请 人：李崇君 教授 联系方式：84708354
报告摘要：Finite element methods (FEMs) have been a major tool for solving science and engineering problems modelled by partial differential equations (PDEs).
In addition to accuracy and robustness, preserving physical properties is an important aspect of FEMs. In this talk, we present the novel weak Galerkin FEMs that construct discrete gradient/divergence/curl, etc., at the element level, which provides desired approximation to the classical differential operators in the variational forms. In particular, we focus on the Darcy/elliptical and linear elasticity equations. It will be demonstrated through theoretical analysis and numerical experiments that the WG FEMs respect local mass conservation and are free of Poisson-locking.
报告人简介：Jiangguo Liu is a full professor and PhD supervisor in Department of Mathematics at Colorado State University (USA). He earned a PhD degree from University of South Carolina in 2001 and joined Colorado State University in 2005. His research interests focus on efficient and numerical methods for transport problems in porous media and his research projects have been supported by National Science Foundation. He is an associate editor of Journal of Computational and Applied Mathematics and has served SIAM at various positions. Recently he became more interested in interdisciplinary research for drug delivery. He has published 60+ research papers including those on SIAM Journal on Scientific Computing, SIAM Journal on Numerical Analysis, and ACS Applied Nano Materials.
