On the use of the Variational Theory of Complex Rays for the analysis of 2-D exterior Helmholtz problem in an unbounded domain

被引：3

作者：

Kovalevsky, L. ^{[2
]}

Riou, H. ^{[1
]}

Ladeveze, P. ^{[1
]}

机构：

[1] PRES Univ Sud Paris, Univ Paris 06, CNRS, ENS Cachan,LMT Cachan, F-94230 Cachan, France

[2] Univ Cambridge, Dept Engn, Cambridge CB2 1PZ, England

来源：

WAVE MOTION | 2013年 / 50卷 / 03期

关键词：

VTCR; Mid-frequency; Vibration; Acoustics; Unbounded domains; Scattering problems; FINITE-ELEMENT-METHOD; WAVE-FUNCTIONS; GALERKIN; EQUATION; FORMULATION; VIBRATIONS; SCATTERING; VERSION;

D O I：

10.1016/j.wavemoti.2012.10.005

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Recently, a new type of numerical technique called the Variational Theory of Complex Rays (VTCR) was proposed for the efficient solution of the acoustic Helmholtz equation in the medium frequency regime. However this method was fully developed only for bounded domains. In this paper, the VTCR is extended to exterior Helmholtz problems in order to expand its scope to practical acoustic scattering problems. Results for two-dimensional problems with short wavelengths and a comparison with standard reference methods show that this numerical strategy can be of great interest for these types of problems. (c) 2012 Elsevier B.V. All rights reserved.

引用

下载

页码：428 / 436

页数：9

共 50 条

[11] The Dirichlet problem for the 2-D Helmholtz equation in a multiply connected domain with cuts
Krutitskii, PA
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1997, 77 (12): : 883 - 890
[12] Dirichlet problem for the 2-D Helmholtz equation in a multiply connected domain with cuts
Krutitskii, P.A.
Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, 77 (12):
[13] Hybrid Finite Element Method and Variational Theory of Complex Rays for Helmholtz Problems
Li, Hao
Ladeveze, Pierre
Riou, Herve
JOURNAL OF COMPUTATIONAL ACOUSTICS, 2016, 24 (04)
[14] UNSTEADY 2-D COMPRESSIBLE FLOW IN UNBOUNDED DOMAIN
WANG, DG
WYLIE, EB
JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, 1995, 117 (01): : 91 - 96
[15] On the mixed problem for harmonic functions in a 2-D exterior cracked domain with neumann condition on cracks
Krutitskii, P. A.
QUARTERLY OF APPLIED MATHEMATICS, 2007, 65 (01) : 25 - 42
[16] Finite element analysis of 2-D dielectric waveguides with Helmholtz vector equations and virtual exterior elements
Zheng, T
Bao, NK
Chiang, KS
Chung, PS
OPTICAL PROPERTIES OF MATERIALS, 2000, 579 : 281 - 286
[17] Theory of 2-D complex seismic trace analysis
Barnes, AE
GEOPHYSICS, 1996, 61 (01) : 264 - 272
[18] The Dirichlet Problem on Wave Propagation in a 2-D Exterior Cracked Domain with Compatibility Conditions at the Tips of the Cracks
Krutitskii, P. A.
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES, 2009, 1186 : 271 - 283
[19] ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION IN AN UNBOUNDED DOMAIN IN R-2
Juraev, Davron Aslonqulovich
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2018, 15 : 1865 - 1877
[20] The Galerkin boundary element method for exterior problems of 2-D Helmholtz equation with arbitrary wavenumber
Ma, Jianjun
Zhu, Jialin
Li, Maojun
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2010, 34 (12) : 1058 - 1063

← 1 2 3 4 5 →