2ND-ORDER ABSORBING BOUNDARY-CONDITIONS FOR THE WAVE-EQUATION - A SOLUTION FOR THE CORNER PROBLEM
2ND-ORDER ABSORBING BOUNDARY-CONDITIONS FOR THE WAVE-EQUATION - A SOLUTION FOR THE CORNER PROBLEM
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DOI：
10.1137/0727021
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发表时间：
1990-04-01
影响因子：
2.9
通讯作者：
ROBERTS, JE
中科院分区：
文献类型：
--
作者：
BAMBERGER, A;JOLY, P;ROBERTS, JE
在波动方程的吸收边界条件问题中，角点区域的处理从实用的角度来看是非常重要的。只要考虑阶数大于或等于2的条件，就会出现技术难题。当使用二阶条件时，提出了二维情况下的解决方案。该解决方案包括规定适当的拐角条件。对所得到的问题进行了理论分析，证明了该条件是最优的。数值模拟结果表明，在这里得到的结果。一些扩展到更高的空间维度和高阶条件的建议。
The treatment of domains with corners in the problem of absorbing boundary conditions for the wave equation is very important from a practical point of view. A technical difficulty appears as soon as conditions of order greater than or equal to 2 are considered. A solution is proposed for the two-dimensional case when second-order conditions are used. This solution consists of prescribing an adequate corner condition. The problem thus obtained is analyzed theoretically and the condition is proved to be optimal. The results obtained here are illustrated by numerical simulations. Some extensions to higher-space dimensions and higher-order conditions are proposed.