数学讲坛
发布于:2017-12-14 09:43:44   |   作者:[学院] 数学学院   |   浏览次数:1294
时间:16:00-17: 00 December 18th
地址:A1-513 Main Building
主办:数学学院
承办:数学学院
范围:全校

Title: Finite Element Methods for Fourth Order Elliptic Variational Inequalities

Speaker: Li-yeng Sung

Datetime: 16:00-17: 00  December 18th

Venus: A1-513 Main Building

 

Abstract

Fourth order elliptic variational inequalities appear in obstacle problems for Kirchhoff plates and optimization problems constrained by second order elliptic partial differential equations. The numerical analysis of these variational inequalities is more challenging than the analysis in the second order case because the complementarity forms of fourth order variational inequalities only exist in a weak sense.  In this talk we will present a unified framework for the a priori analysis of finite element methods for fourth order elliptic variational inequalities that are applicable to C1 finite element methods, classical nonconforming finite element methods, and discontinuous Galerkin methods.

 

Li-yeng Sung is a professor at the Department of Mathematics of Louisiana State University, where he also an adjunct Professor at the Center for Computation & Technology.

His research areas include differential equations, integrable systems (inverse scattering), numerical partial differential equations (multigrid methods and domain decomposition methods), variational inequalities.

Dr. Sung got his B.S. from Chinese University of Hong Kong in 1976 and M.S. in 1978. He obtained Ph.D. from State University of New York at Stony Brook in 1983.

Before he came to LSU, He was a professor at University of South Carolina 2006-2007, Associate Professor at University of South Carolina 1993-2006, 

Assistant Professor, Clarkson University, 1987-1993, Assistant Professor (Post-doc), The University of Michigan, 1983-1987.

He visited Hausdorff Research Institute for Mathematics, Bonn, Germany in 2017, Indian Institute of Technology, Bombay, India, in 2013, Institute for Mathematics and its Applications, Minneapolis, 2010-2010,

LSEC, Chinese Academy of Sciences, Beijing, PRC in 2009, Humboldt-Universitat zu Berlin, Germany, 2008. He was also the New Directions Research Professor, Institute of Mathematics and Its Applications, Minneapolis, 2010-2011 and EPSRC Visiting Fellow, Imperial College, UK 2001.

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