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【6月26日】Construction of H^2(curl) conforming elements and their application

】【打印】【关闭窗口 来源:本站原创 作者:统计与数学学院 编辑:王凝 发布时间:2019-06-17
    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。