| 基于透射边界条件的高阶离散型角点条件 |
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| 引用本文： | 邢丽,黄自萍.基于透射边界条件的高阶离散型角点条件[J].应用数学与计算数学学报,2003,17(2):7-14. |
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| 作者姓名： | 邢丽 黄自萍 |
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| 作者单位： | 同济大学应用数学系,上海,200092 |
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| 基金项目： | 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. |
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| 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．
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| 关 键 词： | 波动方程 透射 边界条件 数值模拟 角点 |
The Higher-Order Discrete Corner Condition Based on MTF |
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| Xing Li Huang Ziping.The Higher-Order Discrete Corner Condition Based on MTF[J].Communication on Applied Mathematics and Computation,2003,17(2):7-14. |
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| Authors: | Xing Li Huang Ziping |
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| Institution: | Xing Li Huang Ziping
Department of Applied Mathematics,Tongji University,Shanghai 200092,China |
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| Abstract: | 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. |
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| Keywords: | wave equations higher order transmitting boundary condition corner point discrete |
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