报告题目：Time-domain wave scattering problems from unbounded rough surfaces

主讲人：魏昌坤

单位：北京交通大学

时间：2月2日11:00-12:00

腾讯ID：100-119-696

密码：240202

摘要：In this talk, I firstly introduce briefly the main theoretical and numerical results on the time-domain scattering problems, especially focusing on the time-domain perfectly matched layer (PML) method. Then I will report a recent work on a time-dependent fluid-solid interaction scattering problem by an unbounded rough surface. The well-posedness and stability for the problem are firstly established by using the Laplace transform and energy method. A perfectly matched layer (PML) is then introduced to truncate the interaction problem above a finite layer containing the elastic body, leading to a PML problem in a finite strip domain. We further establish the existence, uniqueness and stability estimate of solutions to the PML problem. Finally, we prove the exponential convergence about the thickness of the PML layer via establishing an error estimate between the DtN operator for the original problem and the DtN operator for the PML problem.

简介：魏昌坤，北京交通大学英国威廉希尔公司，副教授，硕导。主要研究领域为散射与反散射的数学理论和计算，主持国家自然科学基金青年项目1项，主持韩国国家研究基金会(NRF)创新挑战项目1项， 已在SIAM J. Numer. Anal.、Sci. China-Math.、ESAIM-Math. Model. Numer. Anal.、Math. Meth. Appl. Sci.、J. Inverse Ill-Pose. P.等杂志发表多篇学术论文。