Computational & Applied Math Seminar

Computation of transmission eigenvalues by regularized Schur complement for the boundary integral operators

  • 演讲者:马云云(东莞理工学院)

  • 时间:2022-06-20 10:00-11:00

  • 地点:腾讯会议 ID 431-987-087,密码 220620

Abstract

This talk is concerned with the numerical computation of  transmission eigenvalues in the inverse scattering theory, which are shed light on the material properties of scattering object. The analysis of that problem cannot be covered by standard theory of elliptic partial differential equations since it is neither elliptic nor self-adjoint.  A novel integral equation formulation built upon the Schur complement to a two by two system of boundary integral equations is used to reformulate the problems of transmission eigenvalues. The Nystrom discretization is then employed to obtain an eigenvalue problem for a matrix. At the last step, the corresponding matrix eigenvalue problem is computed by the recursive integral method. 


Short bio 
马云云博士,东莞理工学院特聘副教授。2006 年 7 月毕业于吉林大学计算数学专业。2011 年 12 月获得吉林大学计算数学专业博士学位。2012 年至 2015 年在中山大学做博士后, 期间曾去美国 Syracuse university 访问。 2015 年至 2016 年 6月在香港浸会大学数学系访问,2016 年 7 月至 2017 年 5 月在香港理工大学做助理研究员。主要从事计算数学及相关领域的研究,研究领域涉及到正反散射问题的理论研究与数值计算, 高振荡问题的数值计算, 积分方程的理论与数值求解等。