Perfectly matched layers for the heat and advection-diffusion equations

被引：1
|
作者：
Lantos, Nicolas [1 ,2 ]
Nataf, Frederic [2 ]
机构：
[1] Natixis Corp Solut Bank, F-75008 Paris, France
[2] UPMC Univ Paris 06, UMR 7598, Lab JL Lions, F-75006 Paris, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2010年 / 348卷 / 13-14期
关键词：
ABSORBING BOUNDARY-CONDITIONS; WAVES;
D O I：
10.1016/j.crma.2010.05.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We design a perfectly matched layer for the advection-diffusion equation. We show that the reflection coefficient is exponentially small with respect to the damping parameter and the width of the PML and independently of the advection and of the viscosity parameters. Numerical tests assess the efficiency of the approach. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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页码：781 / 785
页数：5
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