Nonreflecting boundary conditions for the time-dependent wave equation

被引：105

作者：

Alpert, B

Greengard, L

Hagstrom, T

机构：

[1] Natl Inst Stand & Technol, Boulder, CO 80305 USA

[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[3] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2002年 / 180卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jcph.2002.7093

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We describe a new, efficient approach to the imposition of exact nonreflecting boundary conditions for the scalar wave equation. We compare the performance of our approach with that of existing methods by coupling the boundary conditions to finite-difference schemes. Numerical experiments demonstrate a significant gain in accuracy at no additional cost. (C) 2002 Elsevier Science (USA).

引用

收藏

页码：270 / 296

页数：27

相关论文

共 42 条

[1] Quantitative nondestructive evaluation [J].

Achenbach, JD .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2000, 37 (1-2) :13-27

[2] An integral evolution formula for the wave equation [J].

Alpert, B ;

Greengard, L ;

Hagstrom, T .

JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 162 (02) :536-543

[3] Rapid evaluation of nonreflecting boundary kernels or time-domain wave propagation [J].

Alpert, B ;

Greengard, L ;

Hagstrom, T .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2000, 37 (04) :1138-1164

[4] Hybrid Gauss-trapezoidal quadrature rules [J].

Alpert, BK .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1999, 20 (05) :1551-1584

[5]

[Anonymous], 1980, Gos. Izd-vo Fiz.-Mat. Literatury

[6] RADIATION BOUNDARY-CONDITIONS FOR WAVE-LIKE EQUATIONS [J].

BAYLISS, A ;

TURKEL, E .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (06) :707-725

[7] Perfectly matched layer for the FDTD solution of wave-structure interaction problems [J].

Berenger, JP .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1996, 44 (01) :110-117

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

BERENGER, JP .

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

[9] The perfectly matched layer in curvilinear coordinates [J].

Collino, F ;

Monk, P .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1998, 19 (06) :2061-2090

[10] INVERSE PROBLEMS IN OCEAN ACOUSTICS [J].

COLLINS, MD ;

KUPERMAN, WA .

INVERSE PROBLEMS, 1994, 10 (05) :1023-1040

← 1 2 3 4 5 →