报告题目：Cochain complexes of tensor product finite elements
报告人：Guido Kanschat（海德堡大学应用数学研究所）
报告时间： 9月20日10:00-11:00
报告地点：维格堂319

摘要：In this talk, we review the construction of tensor product finite elements of arbitrary smoothness. Then, we show how we can obtain elements for differential forms in arbitrary dimensions. The construction is based on the concept of commuting interpolation operators. It can be extended to the Bernstein-Gelfand-Gelfand derivation to obtain complexes for instance for the mixed formulation of elasticity. Finally, we discuss commuting interpolation operators not requiring differentiability.

报告人简介：Dr. Kanschat  is a professor in the Interdisciplinary Center for Scientific Computing (IWR) at Heidelberg University. He studied mathematics at the University of Bonn. In 1992 he moved to Heidelberg University, where he received his doctor of science degree in 1996 and his habilitation in 2004. Professor Kanschat works in the fields of Numerical Analysis and Scientific Computing, in particular analysis and implementation of finite element methods. Here, he focuses on applications of Discontinuous Galerkin Methods to applications in radiative transport and coupled flow problems. His work involves the development and analysis of discretization schemes as well as efficient multigrid solvers and their implementation. His publication record includes more than 60 peer-reviewed articles in top journals such as Math. Comput.,SIAM J. Numer. Anal.  SIAM J. Sci. Comput. Besides, he is coauthor and one of the founders of the deal.II software project, which provides Open Source infrastructure for finite element calculations. He was awarded the 2007 Wilkinson Prize for Numerical Software for this project together with Wolfgang Bangerth and Ralf Hartmann. He is founding editor of the Archive of Numerical Software and a strong advocate for Open Source Software and the recognition of the intellectual achievement in numerical software.


邀请人：卢培培