NOBODY'S PERFECT; MATCHED LAYERS FOR HETEROGENEOUS MEDIA

被引:2
|
作者
Halpern, Laurence [1 ]
Metivier, Ludovic [2 ]
Rauch, Jeffrey [3 ]
Ryan, Juliette [4 ]
机构
[1] Univ Paris 13, CNRS, UMR 7539, LAGA, F-93430 Villetaneuse, France
[2] Univ Grenoble Alpes, CNRS, LJK, Grenoble, France
[3] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
[4] Off Natl Etud & Rech Aerosp, Chemin Huniere, F-91123 Palaiseau, France
来源
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2019年 / 41卷 / 01期
关键词
matched layers; WKB; heterogeneous media; geometric optics; reflection; ABSORBING BOUNDARY-CONDITIONS; ABSORPTION;
D O I
10.1137/17M1114752
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present an example of Berenger's method for a problem with variable coefficients at the interface showing that the method is not perfectly matched. The reflections are revealed by constructing an infinitely accurate geometric optics approximation. They are also revealed in numerical simulations that confirm the dependence on wavelength from the asymptotic expansions.
引用
收藏
页码:A1 / A25
页数:25
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