发布时间：2020-10-27
报告人 ：张智民（北京计算科学研究中心 教授）
报告人简介 ：
Charles H. Gershenson 杰出学者，世界华人数学家大会45分钟报告者。曾任美国数学学会杂志“Mathematics of Computation”、Springer杂志“Journal of Scientific Computing”的编委，现任Numerical methods for Partial Differential Equations 、Journal of Mathematical Study、Journal of Computational Mathematics、International Journal of Numerical analysis & Modeling、Discrete and Continuous dynamical Systems -- Series B 等多个国际计算和应用数学杂志以Mathematical Culture(《数学文化》)的编委。
报告题目：New Development of Conforming Finite Elements -- Beyond Nedelec
报告摘要：In two ground breaking papers (1980 and 1986), Nedelec proposed $H(curl)$-conforming elements to solve electromagnetic equations that contains the “curl” operator. It is more or less as the $H^1$-conforming elements (or $C^0$ elements) for elliptic equations that contains the “grad” operator. As is well known in the finite element method literature, in order to solve 4th-order elliptic equations such as the bi-harmonic equation, $H^2$-conforming elements (or $C^1$-elements) were developed. Recently, there have been some research in solving electromagnetic equations which involve four “curl” operators. Hence, construction of $H(curlcurl)$-conforming elements becomes necessary. In this work, we construct$H(curl curl)$-conforming elements for rectangular and triangular meshes and apply them to solve quad-curl equations as well as related eigenvalue problems.
报告时间 ：2020年10月29日上午10：00-12：00
报告地点 ：腾讯会议室：163943043