报告主题：C^1- and curl^2-conforming quadrilateral spectral element methods (C^1-和curl^2-协调四边形谱元方法)
报告人: 李会元 研究员 (中科院软件研究所)
报告时间：2019年9月27日（周五）14:00
报告地点: 校本部G507
邀请人：马和平教授
主办部门：理学院数学系
报告摘要：
This talk is oriented for conforming spectral element methods for solving fourth order elliptic equations and quad-curl equations on quadrilated meshes. We start with the structure exploration of the $C^1$-conforming piecewise polynomial space on quadrilateral meshes. Interior, edge and vertex modes of the $C^1$-conforming basis functions are technically constructed through a bilinear mapping with the help of generalized Jacobi polynomials.
In the sequel, we resort to the contravariant transformation, the de Rham complex and the generalized Jacobi polynomials to construct of the basis functions of $curl^2$-conforming quadrilateral spectral elements.
Finally, numerical experiments are demonstrated to show the effectiveness and accuracy of our conforming quadrilateral spectral element methods.
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