WAVELET-BASED EDGE MULTISCALE FINITE ELEMENT METHOD FOR HELMHOLTZ PROBLEMS IN PERFORATED DOMAINS\ast

被引：5
|
作者：
Fu, Shubin [1 ]
Li, Guanglian [2 ]
Craster, Richard [3 ]
Guenneau, Sebastien [4 ]
机构：
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2] Univ Hong Kong, Dept Math, Pokfulam, Hong Kong, Peoples R China
[3] Imperial Coll London, Dept Math, London SW7 2AZ, England
[4] Aix Marseille Univ, CNRS, Inst Fresnel, Cent Marseille, Marseille, France
来源：
MULTISCALE MODELING & SIMULATION | 2021年 / 19卷 / 04期
关键词：
multiscale method; Helmholtz equation; perforated domain; wavelet-based edge multiscale finite element method; high frequency; random perforation; ELLIPTIC PROBLEMS; MAXWELLS EQUATIONS; HOMOGENIZATION; PARADIGM; LAYER;
D O I：
10.1137/19M1267180
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a new efficient algorithm for Helmholtz problems in perforated domains with the design of the scheme allowing for possibly large wavenumbers. Our method is based upon the wavelet-based edge multiscale finite element method as proposed recently in [S. Fu, E. Chung, H, we establish \scrO (H) convergence of this algorithm under the resolution assumption with the level parameter being sufficiently large. The performance of the algorithm is demonstrated by extensive 2-dimensional numerical tests including those motivated by photonic crystals.
引用
收藏
页码：1684 / 1709
页数：26
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