報告題目： PML and high-accuracy boundary integral equation solver for wave scattering by a locally defected periodic surface
報 告 人： 魯汪濤 研究員
所在單位： 浙江大學
報告時間：2022年06月30日 星期四 下午 14:00-15:00
報告地點：騰訊會議 ID：737-777-758
鍊接：https://meeting.tencent.com/dm/c17ThJiOvNRg
校内聯系人：袁曉凱 yuanxk@jlu.edu.cn
報告摘要： In this talk, we shall study the perfectly-matched-layer (PML) method for wave scattering in a half space of homogeneous medium bounded by a two-dimensional, perfectly conducting, and locally defected periodic surface, and develops a high-accuracy boundary-integral-equation (BIE) solver. Along the vertical direction, we place a PML to truncate the unbounded domain onto a strip and prove that the PML solution converges to the true solution in the physical subregion of the strip with an error bounded by the reciprocal PML thickness. Laterally, we divide the unbounded strip into three regions: a region containing the defect and two semi-waveguide regions, separated by two vertical line segments. In both semi-waveguides, we prove the well-posedness of an associated scattering problem so as to well define a Neumann-to-Dirichlet (NtD) operator on the associated vertical segment. The two NtD operators, serving as exact lateral boundary conditions, reformulate the unbounded strip problem as a boundary value problem over the defected region. It is proved that the PML solution decays exponentially fast along both lateral directions. A high-accuracy PML-based BIE method is developed to solve the boundary value problem on the defected region. Numerical experiments demonstrate that the PML solution converges exponentially fast to the true solution in any compact subdomain of the strip.
報告人簡介： 2007年中國科學技術大學學士，2012年中國科學技術大學博士，并于同年獲得香港城市大學聯合培養博士學位，2017年8月回浙大工作至今。2021年獲浙江省自然科學基金傑出青年項目,主持及參與國家自然科學基金多項，在JCP及SIAM期刊SINUM、SISC、SIAP、MMS等發表多篇文章。
