An exact bounded PML for the Helmholtz equation

被引：25
|
作者：
Bermúdez, A
Hervella-Nieto, L
Prieto, A
Rodríguez, R
机构：
[1] Univ Santiago de Compostela, Dept Matemat Aplicada, Santiago De Compostela 15706, Spain
[2] Univ A Coruna, Dept Matemat, La Coruna 15707, Spain
[3] Univ Concepcion, Dept Ingn Matemat, GI2MA, Concepcion, Chile
来源：
COMPTES RENDUS MATHEMATIQUE | 2004年 / 339卷 / 11期
关键词：
D O I：
10.1016/j.crma.2004.10.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the Helmholtz equation with a Sommerfeld radiation condition in an unbounded domain. We prove the existence of an exact bounded perfectly matched layer (PML) for this problem. in the sense that we recover the exact solution in the physical domain by choosing a singular PML function in a bounded domain. We approximate the solution for the PML problem using a standard finite element method and assess its performance through numerical tests.
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页码：803 / 808
页数：6
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