Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	鲁汪涛,浙江大学
Inviter:	李隆张海文
Title:	A PML-based BIE method for wave scattering by a locally perturbed periodic surface
Language:	Chinese
Time & Venue:	2023.12.22 10:45-11:45 南楼N208
Abstract:	In this talk, we present the perfectly-matched-layer (PML) convergence theory 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. It is proved that the PML solution decays exponentially fast along both lateral directions. The consequences culminate in two opposite aspects. Negatively, the PML solution cannot converge exponentially to the true solution in the whole physical region of the strip. Positively, from a numerical perspective, a recursively doubling procedure can be used to truncate the unbounded PML problem onto a boundary value problem in the defected region that can be solved efficiently and accurately by a PML-based BIE method. Numerical experiments demonstrate that the PML solution converges exponentially fast to the true solution in any compact subdomain of the strip.