数学与统计学院学术报告——曹阳副教授

日期: 2018-08-09 阅读: 来源: 关键词:

  应兰州大学数学与统计学院杨爱利副教授邀请,南通大学交通学院曹阳副教授于2018年8月10日至8月15日访问我校并作学术报告。

  报告题目:A general class of shift-splitting preconditioners for non-Hermitian saddle point problems with applications to time-harmonic eddy current models

  时间:2018年8月11日(星期六)上午10: 00

  地点:齐云楼911报告厅

摘要: 

  Based on a general splitting of the (1,1) leading block matrix, we first construct a general class of shift-splitting (GCSS) preconditioners for non-Hermitian saddle point problems. Convergence conditions of the corresponding matrix splitting iteration methods and preconditioning properties of the GCSS preconditioned saddle point matrices are analyzed. Then the GCSS preconditioner is specifically applied to the non-Hermitian saddle point problems arising from the finite element discretizations of the hybrid formulations of the time-harmonic eddy current models. With suitable choices of the splittings, the new GCSS preconditioners are easier to implement and have faster convergence rates than the existing shift-splitting preconditioner and its modified variant. Two numerical examples are presented to verify the theoretical results and show effectiveness of the new proposed preconditioners.

个人简介:

    曹阳,博士,副教授,硕士生导师,南通大学交通学院交通运输系主任,江苏省“青蓝工程”优秀青年骨干教师,中国数学会会员,美国工业与应用数学学会会员,美国数学评论的评论员。曾获中国计算数学学会“应用数值代数奖”、江苏省优秀硕士和优秀博士学位论文、江苏省南通市“杰出青年岗位能手”等荣誉称号。主持国家自然科学基金青年基金和面上项目各1项,发表SCI学术论文33篇,其中3篇入选ESI高被引论文,担任SIAM Journal on Imaging Sciences、Computers & Mathematics with Applications、Numerical Algorithms、Advances in Mechanical Engineering等十多个SCI期刊的审稿人。

    欢迎感兴趣的师生参加!                                   

应用数学与复杂系统省级重点实验室
兰州大学数学与统计学院
 2018年8月8日

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