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数学学院、所2019年系列学术活动(第105场):李培军 教授 (美国Purdue University)

发表于: 2019-06-19 10:26  点击:

报告题目: Transparent boundary conditions for computational wave propagation

报 告 人:李培军 教授 (美国Purdue University

报告时间:201962010:00--11:00

报告地点:数学楼第二报告厅

报告摘要:

Scattering problems have significant applications in diverse scientific areas such as radar and sonar, geophysical exploration, and nondestructive testing. They are usually imposed in open domains which need to be truncated into bounded domains. Therefore, appropriate boundary conditions are required on the boundaries of the truncated domains to avoid artificial wave reflection. Such boundary conditions are called transparent boundary conditions (TBCs). In this talk, we will discuss two commonly used methods to impose TBCs: the perfectly matched layer (PML) technique and Dirichlet-to-Neumann (DtN) map. The mathematics and numerics will be presented and compared for the both methods to handle acoustic, elastic, and electromagnetic wave propagation problems.

报告人简介:

   2005年毕业于美国密西根州立大学获博士学位,现任普渡大学数学系教授。主要从事科学计算、数值分析和偏微分方程反问题等工作,特别是光学、电磁学和波动方程中正反散射问题的研究。先后主持了多项美国国家自然科学基金项目,发表论文80余篇。曾获美国国家自然科学基金杰出奖项(NSF Career Award)2015年度Calderon Prize