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

页码：1684 / 1709

页数：26

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