报告时间:2024年9月26日(星期四)10:00
报告地点:翡翠湖校区科教楼B座1710室
报 告 人:张智民 教授
工作单位:韦恩州立大学
举办单位:数学学院
报告简介:
In certain applications, 2nd-order elliptic problems lack divergent forms due to regularity restrictions, necessitating the direct discretization of the 2nd-order derivatives. In this work, we develop a new Petrov-Galerkin method that employs a C1-conforming finite element for the trial space and an L2- discontinuous element for the test space. We demonstrate that the numerical solution obtained through this new method converges to the exact solution with an order of 2k-2(where k > 2 is the polynomial degree) at the nodal points for both function value and the gradient, assuming a rectangular mesh.
报告人简介:
张智民,中国科学技术大学学士(1982)硕士(1985)、马里兰大学(University of Maryland,College Park)博士(1991)、韦恩州立大学(Wayne State University)教授(2002-)、 国家引进海外高层次人才(2012)。现任和曾任10个国内外数学杂志编委,包括Mathematics of Computation(2009-2017)、Journal of Scientific Computing(2011-2017)、Numerical methods for Partial Differential Equations(2013-)、 Communications on Applied Mathematics and Computation (2019-)、CSIAM Transaction on Applied Mathematics(2019-)、《数学文化》(2010-)等,发表SCI论文200余篇。张智民教授长期从事计算方法,所提出的多项式保持重构(Polynomial Preserving Recovery —PPR)方法2008年被大型商业软件COMSOL Multiphysics 采用并沿用至今。