国家天元数学中部中心高性能计算系列报告 | 吴朔男 (北京大学)

发布时间: 2021-05-07 17:31

报告题目:Robust BPX Preconditioner for Fractional Laplacians on Bounded Lipschitz Domains

报告时间:2021-05-18  10:00 - 11:30

报告人:吴朔男 北京大学

线上报告:腾讯会议 ( 473 918 513 )

主办单位:国家天元数学中部中心  武汉大学数学与统计学院

Abstract : We propose and analyze a robust BPX preconditioner for the integral fractional Laplacian on bounded Lipschitz domains. For either quasi-uniform grids or graded bisection grids, we show that the condition numbers of the resulting systems remain uniformly bounded with respect to both the number of levels and the fractional power. The results apply also to the spectral and censored fractional Laplacians.