报告题目：Nonconforming finite element Stokes complexes in three dimensions
报 告 人：黄学海 教授 上海财经大学 必威
报告时间：2020年8月24日 15:00-16:00
报告地点：腾讯会议 ID：829 618 411
会议链接：https://meeting.tencent.com/s/Gv3yDJIks4WV
校内联系人：陶詹晶 zjtao@jlu.edu.cn
报告摘要：
Two nonconforming finite element Stokes complexes ended with the nonconforming P1-P0 element for the Stokes equation in three dimensions are constructed. And commutative diagrams are also shown by combining nonconforming finite element Stokes complexes and interpolation operators. The lower order H(gradcurl)-nonconforming finite element only has 14 degrees of freedom, whose basis functions are explicitly given in terms of the barycentric coordinates. The H(gradcurl)-nonconforming elements are applied to solve the quad-curl problem, and optimal convergence is derived. By the nonconforming finite element Stokes complexes, the mixed finite element methods of the quad-curl problem is decoupled into two mixed methods of the Maxwell equation and the nonconforming P1-P0 element method for the Stokes equation, based on which a fast solver is developed.
报告人简介：
黄学海，上海财经大学必威教授、博导，毕业于上海交通大学数学系。研究方向为有限元方法，特别是高阶偏微分方程的高效数值方法。在Math. Comp.、SIAM J. Numer. Anal.、Numer. Math.、J. Sci. Comput.等国际期刊发表SCI论文二十多篇，其中ESI高被引论文1篇。科研课题方面，正主持1项国家自然科学基金面上项目，主持完成国家自然科学基金青年项目1项、数学天元项目1项和浙江省自然科学基金项目2项，参与多项国家自然科学基金面上项目和浙江省自然科学基金项目。获中国计算数学学会优秀青年论文竞赛优秀奖，博士学位论文被评为上海市研究生优秀成果(学位论文)。
