基于透射边界条件的高阶离散型角点条件  

The Higher-Order Discrete Corner Condition Based on MTF

作　　者：邢丽[1] 黄自萍[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《应用数学与计算数学学报》2003年第2期7-14,共8页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金(批准号:40074031和10071015);同济科技股份有限公司资助.

摘　　要：对波动方程的数值模拟中,在有限区域建立吸收边界条件,其中对区域角点的处理是一个很重要的问题.随着吸收边界条件阶数的提高,与之匹配的角点条件也越难建立.MTF是一种离散型吸收边界条件.在此,对于二维问题,基于MTF建立离散型高阶角点条件,对计算区域角点处理时,在区域对角线方向上建立N阶MTF公式.问题也可推广到三维.数值结果证实了我们的猜测.In the numerical simulation of the wave equation, to develop an absorbing boundary condition in the finite domain, especially with corners, is a very important problem from a practical point of view. While the order of the boundary condition increasing, the corresponding corner condition is usually difficult to construct. This paper aims at es-tablishing a higher-order corner condition in the domain with corners. For that purpose, Multi-Transmitting Formula (MTF), which is a discrete absorbing boundary condition, is applied to the diagonal direction. The method can be extended to 3-D problems. The numerical results validate our hypothesis.

关 键 词：波动方程 透射 边界条件 数值模拟 角点 

分 类 号：O175[理学—数学]