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Conforming Spectral Methods with Exact Divergence-Free Constraints

主讲人：李会元

摘要：In this talk, we construct the C-, Curl- and Div-conforming spectral elements satisfying exact divergence free constraints with the help of variant de Rham complexes together with the Helmholtz-Hodge decomposition. Novel spectral and spectral element methods are then proposed for solving Stokes and Maxwell eigenvalue problems. Finally, numerical experiments are carried out to verify the effectiveness and efficiency of our methods.

主讲人简介：李会元，中国科学院软件研究所研究员，博士生导师。主要研究领域为偏微分方程的高精度谱方法与谱元法，特征值问题的高性能计算方法等。在SIAM J. Numer. Anal., SIAM J. Sci. Comp., Appl. Comput. Harmon. Anal., Math. Comp.等发表论文五十余篇。

邀请人：王海永

时间：：2022年8月26日（星期五）10:00-11:30

地点：腾讯会议室     ID:305 399 495