报告题目：Construction of H^2(curl) conforming elements and their application
主讲人：张智民（北京计算科学研究中心）
时间：2019年6月26日（周三）9:40 a.m.
地点：北院卓远楼305
主办单位：统计与数学学院
摘要：In 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 $H(curl curl)$-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.
主讲人简介：
张智民，教授，1982年7月获中国科技大学基础数学专业学士学位，1985年1月获中国科技大学计算数学专业硕士学位，1991年7月获美国马里兰大学博士学位。现任美国韦恩州立大学终身教授及北京计算科学研究中心教授，2010年被聘为教育部长江学者讲座教授，2010被邀请在世界华人数学家大会做45分钟报告，获查尔斯H.格申森杰出教师研究员奖等多项奖励。
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