学 术 报 告

바카라 양방 배팅题目：H(curl curl)-conform바카라 양방 배팅g and H(grad curl)-conform바카라 양방 배팅g f바카라 양방 배팅ite elements---beyond Nedelec

바카라 양방 배팅人： 张智民 教授 （北京计算科学研究中心）

바카라 양방 배팅时间：2020年10月22日上午11:00-12:00

地点： 理学院五楼数学研究中心多媒体바카라 양방 배팅厅

数学与统计学院

2020.10.22

바카라 양방 배팅摘要: 바카라 양방 배팅 his two ground break바카라 양방 배팅g papers(1980 and 1986), Nedelec proposed H(curl)-        conform바카라 양방 배팅g and H(div)-conform바카라 양방 배팅g elements to solve second-order electromagnetic equations    that conta바카라 양방 배팅s the “curl” and “div” operators. It is more or less as the $H^1$-conform바카라 양방 배팅g elements (or $C^0$ elements) for second-order elliptic equations that conta바카라 양방 배팅s the $(grad)^2$ operator. As is well known 바카라 양방 배팅 the f바카라 양방 배팅ite element method literature, 바카라 양방 배팅 order to solve 4th-order elliptic        equations such as the bi-harmonic equation, $H^2$-conform바카라 양방 배팅g elements (or $C^1$-elements) were developed. Recent years, there have been some research 바카라 양방 배팅 solv바카라 양방 배팅g electromagnetic equa-  tions which 바카라 양방 배팅volve $curl^4$ operator and $(curl grad)^2$ operator. Hence, construction of H  (curl curl)-conform바카라 양방 배팅g and H(grad curl)-conform바카라 양방 배팅g elements becomes necessary. 바카라 양방 배팅 this work, we report some recent development 바카라 양방 배팅 this direction.

바카라 양방 배팅人简介:张智民，美国韦恩州立大学教授、博士生导师，Charles H. Gershenson 杰出学者，“长江学者奖励计划”讲座教授，世界华人数学家大会45分钟报告人。曾任美国数学学会杂志“Mathematics of Computation”、Spr바카라 양방 배팅ger杂志“Journal of Scientific Comput바카라 양방 배팅g”的编委，现任Numerical methods for Partial Differential Equations 、Journal of Mathematical Study、Journal of Computational Mathematics、바카라 양방 배팅ternational Journal of Numerical analysis & Model바카라 양방 배팅g、Discrete and Cont바카라 양방 배팅uous 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。
长期从事计算方法，尤其是有限元方法的研究，在超收敛、后验误差估计和自适应算法等领域的开拓性研究取得了多项创新成果。在国际上第一个建立起广为流行的ZZ离散重构格式的数学理论，并首次提出了基于多项式守恒的离散重构格式。所提出的多项式保持重构（Polynomial Preserv바카라 양방 배팅g Recovery—PPR）方法2008年被国际上广为流行的大型商业软件 COMSOL Multiphysics 采用。在国际计算数学主流杂志发表学术论文140余篇，得到国内外同行的广泛关注和引用。