»ã±¨±êÌâ (Title)£ºAdvanced integral equation solvers for the layered-medium scattering problems(·Ö²ã½éÖÊÉ¢ÉäÎÊÌâµÄ¸ß¼¶»ý·Ö·½³ÌÇó½âÆ÷)

»ã±¨ÈË (Speaker)£ºÒóÌÎ ¸±×êÑÐÔ±£¨Öйú¿ÆѧԺÊýѧÓëϵͳ¿Æѧ×êÑÐÔº£©

»ã±¨¹¦·ò (Time)£º2023Äê9ÔÂ6ÈÕ(ÖÜÈý) 9:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿A101¡¢ÌÚѶ»áÒéºÅ£º509-917-867 (ÎÞÃÜÂë)

Ô¼ÇëÈË(Inviter)£ººî±¦»Û

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»ã±¨ÌáÒª£ºThis talk will present our recent works on the fast and highly accurate boundary integral equation (BIE) methods for solving the acoustic and electromagnetic wave scattering problems in both two- and three- dimensional layered-medium. The original scattering problem can be truncated onto a bounded domain by the PML. Assuming the vanishing of the scattered field on the PML boundary, BIEs on local defects are derived only in terms of using the PML-transformed free-space Green's function. New regularize formulations are proposed to simplify the calculation of the hyper-singular integrals. A high-order Chebyshev-based Rectangular-polar singular-integration solver is used in numerical implementation. Numerical experiments for both two- and three-dimensional problems will be presented to demonstrate the accuracy and efficiency of the proposed solvers.