Solution of unbounded domain problems using elliptic artificial boundaries
Solution of unbounded domain problems using elliptic artificial boundaries
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DOI：
10.1002/cnm.1640110904
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发表时间：
1995-09
影响因子：
--
通讯作者：
Gil Ben-Porat;D. Givoli
中科院分区：
文献类型：
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作者：
Gil Ben-Porat;D. Givoli
导出了精确的非局部边界条件，并在人工边界上求解了无界区域中的二维拉普拉斯和亥姆霍兹方程。人工边界被选择为一个椭圆形，而不是以前的作品，采用圆形边界。椭圆形人工边界的使用使人们能够非常有效地封闭细长障碍物，特别是在拉普拉斯方程的情况下。
Exact non-local boundary conditions are derived and used on an artificial boundary to solve the two-dimensional Laplace and Helmholtz equations in an unbounded domain. The artificial boundary is chosen to be an ellipse, as opposed to previous works which employed circular boundaries. The use of elliptic artificial boundaries enables one to enclose slender obstacles very efficiently, especially in the case of Laplace's equation.