汇报标题 (Title)：声散射问题的直角网格步骤
汇报人 (Speaker)：应文俊 教授（上海交通大学）
汇报功夫 (Time)：2026年5月15日（周五）14: 00
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：李常品、蔡敏
主办部门：理学院数学系
汇报提要：We present a Cartesian grid method for homogeneous and inhomogeneous scattering problems on complex domains. The method is a generalization of the traditional boundary integral method. It solves the scattering problem in the framework of boundary integral method but avoids direct evaluation of boundary and volume integrals. The evaluation is done by indirectly solving equivalent interface problems on Cartesian grids with fast solvers. For (exterior) problems on unbounded domains, we introduce an artificial circle or sphere to accelerate the solution of interface problems, while preserving accuracy. In the talk, we shall also present numerical examples to demonstrate the method.
