Local absorbing boundary conditions for elliptical shaped boundaries

被引：25
|
作者：
Medvinsky, M. [1 ]
Turkel, E. [1 ]
Hetmaniuk, U. [2 ]
机构：
[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
[2] Sandia Natl Labs, Albuquerque, NM 87185 USA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2008年 / 227卷 / 18期
关键词：
Helmholtz equation; absorbing boundary conditions; Mathieu functions;
D O I：
10.1016/j.jcp.2008.05.010
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We compare several local absorbing boundary conditions for solving the Helmholtz equation, by a finite difference or finite element method, exterior to a general scatterer. These boundary conditions are imposed on an artificial elliptical or prolate spheroid outer surface. In order to compare the computational solution with an analytical solution, we consider, as an example, scattering about an ellipse. We solve the Helmholtz equation with both finite differences and finite elements. We also introduce a new boundary condition for ail ellipse based on a modal expansion. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：8254 / 8267
页数：14
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