数学与统计学院学术活动信息:新加坡南洋理工大学王立联教授学术报告

发布时间:2015-06-29   浏览次数:127


报 告 人:王立联 新加坡南洋理工大学AssociateProfessor

报告题目:FastHigh-Order Methods for Wave Scattering and Transformation Electromagnetics

报告时间:2015年7月1日(周三)下午3:30-4:30

报告地点:静远楼1508学术报告厅

Abstract: In this talk, we present fast and accurate spectral/spectral-element methods for acoustic and electromagnetic wave scattering problems in both frequency and time domains.We advocate the use of Dirichlet-to-Neumann (DtN) transparent boundary conditions to reduce the unbounded problem to an equivalent boundary value problem. We provide semi-analytic techniques to seamless integrate global DtN boundary conditions with local spectral elements in both 2D and 3D by using special elemental transformations of curved elements. We highlight the applications of the solvers in transformation electromagnetics, e.g., the invisibility cloaks.In particular, we introduce new cloaking boundary conditions along the interface of the inner cloaking layer, and show that the perfect cloaking effects can be achieved. We also demonstrate the robustness of the solver to large wave number.

王立联教授个人简介:

王立联,新加坡南洋理工大学副教授,博士生导师。主要研究领域为数值PDE的谱方法与谱元素方法,电磁学中的高性能计算方法等。在国际著名期刊SIAM J.Numer. Anal., SIAM J. Appl. Math., Math. Comp.等上发表论文六十余篇,由Springer出版合著《SPECTRAL METHODS: Algorithms,Analysis and Applications》.