An Adaptive Finite Element PML Method for the Acoustic Scattering Problems in Layered Media

被引：7

作者：

Jiang, Xue ^{[1
]}

Qi, Yu ^{[1
]}

Yuan, Jianhua ^{[1
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2019年 / 25卷 / 01期

关键词：

Acoustic scattering problems; layered media; perfectly matched layer; adaptive finite element method; PERFECTLY MATCHED LAYER; TIME-HARMONIC MAXWELL; WAVE SCATTERING; HELMHOLTZ-EQUATION; BOUNDARY-CONDITIONS; HALF-PLANE; APPROXIMATION; CONVERGENCE;

D O I：

10.4208/cicp.OA-2018-0045

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The paper concerns the numerical solution for the acoustic scattering problems in a two-layer medium. The perfectly matched layer (PML) technique is adopted to truncate the unbounded physical domain into a bounded computational domain. An a posteriori error estimate based adaptive finite element method is developed to solve the scattering problem. Numerical experiments are included to demonstrate the efficiency of the proposed method.

引用

页码：266 / 288

页数：23

共 41 条

[1]

[Anonymous], INTEGRAL EQUATION ME

[2]

Babuska I., 1973, MATH FDN FINITE ELEM, P5

[3] Convergence analysis of the perfectly matched layer problems for time-harmonic Maxwell's equations [J].

Bao, G ;

Wu, HJ .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2005, 43 (05) :2121-2143

[4] A PERFECTLY MATCHED LAYER FOR THE ABSORPTION OF ELECTROMAGNETIC-WAVES [J].

BERENGER, JP .

JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 114 (02) :185-200

[5] Analysis of a finite element PML approximation for the three dimensional time-harmonic maxwell problem [J].

Bramble, James H. ;

Pasciak, Joseph E. .

MATHEMATICS OF COMPUTATION, 2008, 77 (261) :1-10

[6] Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems [J].

Bramble, James H. ;

Pasciak, Joseph E. .

MATHEMATICS OF COMPUTATION, 2007, 76 (258) :597-614

[7] Analysis of a Cartesian PML approximation to acoustic scattering problems in R2 and R3 [J].

Bramble, James H. ;

Pasciak, Joseph E. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 247 :209-230

[8]

Bramble JH, 2012, INT J NUMER ANAL MOD, V9, P543

[9] ANALYSIS OF A FINITE PML APPROXIMATION TO THE THREE DIMENSIONAL ELASTIC WAVE SCATTERING PROBLEM [J].

Bramble, James H. ;

Pasciak, Joseph E. ;

Trenev, Dimitar .

MATHEMATICS OF COMPUTATION, 2010, 79 (272) :2079-2101

[10] The PML for rough surface scattering [J].

Chandler-Wilde, Simon N. ;

Monk, Peter .

APPLIED NUMERICAL MATHEMATICS, 2009, 59 (09) :2131-2154

← 1 2 3 4 5 →