应365bet的邀请，美国田纳西大学（The University of Tennessee）数学终身教授风小兵将于近日来西安交通大学访问讲学，学术报告信息如下：

        时间：7月11日下午4:30
        地点：理科楼407
        题目: A finite element method for linear elliptic PDEs in non-divergence form

        报告摘要: In this talk I shall present a newly developed finite element method for approximating strong solutions of a class of linear elliptic PDEs in non-divergence form whose leading coefficients are only continuous.  Such PDEs are building blocks of fully nonlinear Hamilton-Jacobi-Bellman equations arising from stochastic optimal control and financial mathematics. The proposed method may be viewed as a C^0 DG method, it is very simple to implement and that can be done using any standard finite code. On the other hand, the convergence analysis of the method is quite involved and very technical, it requires to establish a (finite element) discrete Calderon-Zygmund theory, which will be the focus of this talk.  Numerical experiments will be presented to demonstrate the effectiveness of the proposed finite element method. If time permits, extensions to IP-DG methods will also be discussed.

        报告人简介：凤小兵，美国田纳西大学（The University of Tennessee）数学终身教授， 数学系副系主任，数学系研究生学部主任。1983年和1985年分别获西安交大计算数学学士和硕士学位，1992年获美国普度大学（Purdue University）应用和计算数学博学位。凤小兵教授长期从事线性，特别是非线性偏微分方程及其数值解法和算法的研究，并取得了一系列国际领先的成果。在 “SIAM Review”, “SIAM J Numerical Analysis”, “Mathematics of Computation”,  “Numerische Mathematik”等国际一流专业学术期刊上发表论文80余篇。