数学学科Seminar第3037讲 声散射问题的直角网格方法

创建时间:  2026/05/14  邵奋芬   浏览次数:   返回

报告题目 (Title):声散射问题的直角网格方法

报告人 (Speaker):应文俊 教授(上海交通大学)

报告时间 (Time):2026年5月15日(周五)14: 00

报告地点 (Place):校本部GJ303

邀请人(Inviter):李常品、蔡敏

主办部门:理学院数学系

报告摘要: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.

上一条:数学学科Seminar第3038讲 分数阶偏微分方程的深度学习解法

下一条:数学学科Seminar第3036讲 非线性发展方程的并行计算方法


数学学科Seminar第3037讲 声散射问题的直角网格方法

创建时间:  2026/05/14  邵奋芬   浏览次数:   返回

报告题目 (Title):声散射问题的直角网格方法

报告人 (Speaker):应文俊 教授(上海交通大学)

报告时间 (Time):2026年5月15日(周五)14: 00

报告地点 (Place):校本部GJ303

邀请人(Inviter):李常品、蔡敏

主办部门:理学院数学系

报告摘要: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.

上一条:数学学科Seminar第3038讲 分数阶偏微分方程的深度学习解法

下一条:数学学科Seminar第3036讲 非线性发展方程的并行计算方法