学术报告

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5月23日 Rong-Qing Jia 教授学术报告

发布时间:2014-05-20

题 目:Applications of Approximation Theory to Some Fundamental Problems in Numerical Partial Differential Equations

报告人:Rong-Qing Jia, Professor
(University of Alberta)

时 间: 5月23日(周五)下午4:00-5:00

地 点:旧数学楼104室

摘要:The finite difference method and the finite element method are two main methods for numerical solutions of partial differential equations. Although these methods have been well developed, some fundamental problems remained unsolved.
In this talk we are concerned with elliptic equations of second order on domains with nonsmooth boundaries. The solutions for nonsmooth domains often do not have full regularity. In such a case, the optimal order of convergence in the L2-norm by the finite element method was not known. We demonstrate that substantial techniques from approximation theory can be used to solve such fundamental problems.

报告人简介:http://www.ualberta.ca/~rjia/