学术报告:New Finite Element Methods for 3D Anisotropic Singular Solutions

报告题目:New Finite Element Methods for 3D Anisotropic Singular Solutions

主讲:Prof. Hengguang Li    Wayne State University, USA

日期:2017 年5 月25日 (周四)

时间:下午3:30 – 4:30

地点:中山大学南校区336栋A210

主持:张庆辉 副教授

 

摘要:

We discuss a new construction of 3D anisotropic meshes to improve the finite element approximation of elliptic boundary value problems with singular solutions from the non-smoothness of the domain. These meshes can violate the maximum angle condition. We derive optimal error estimates for the proposed method.

报告人简介:

Professor Hengguang Li received his Ph.D. in Mathematics at The Pennsylvania State University in 2008. Before coming to Wayne State University in 2011, Professor Li was a Philip T. Church Postdoc Fellow at the Department of Mathematics, Syracuse University 2008-2010 and an IMA Postdoc Fellow at Institute for Mathematics and its Applications, University of Minnesota 2010 - 2011.

Professor Hengguang Li’s research focuses on numerical analysis and scientific computing, including the development of innovative techniques for performing computations across multiple scientific disciplines.  More specifically, Professor Li’s research has attracted a great amount of interest due to its broad applicability to physics, engineering, finance and several other fields.  His techniques are internationally recognized and used in the design and implementation of new algorithms for approximating equations with singular solutions.To date, he has published more than 30 peer-reviewed papers and raised more than $600,000 to support his research from various agencies such as NSF, AFOSR, and NSFC.