Broadband multilevel fast multipole algorithm for acoustic scattering problems

被引：15

作者：

Wallen, Henrik ^{[1
]}

Jarvenpaa, Seppo ^{[1
]}

Yla-Oijala, Pasi ^{[1
]}

机构：

[1] Helsinki Univ Technol, Electromagnet Lab, FI-02015 Helsinki, Finland

来源：

JOURNAL OF COMPUTATIONAL ACOUSTICS | 2006年 / 14卷 / 04期

关键词：

fast multipole method; broadband MLFMA; acoustic scattering; boundary element method;

D O I：

10.1142/S0218396X06003153

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A broadband multilevel fast multipole algorithm (MLFMA) for the acoustic scattering from a sound-hard obstacle is presented. The formulation is based on the Burton-Miller boundary integral equation and Galerkin's method, avoiding any hypersingular integral operators. The resulting matrix equation has good iterative properties for all frequencies and avoids the interior resonance problem. The main novel feature is the use of a broadband MLFMA to accelerate the iterative generalized minimal residual (GMRES) solver. The algorithm is based on a combination of Rokhlin's translation formula for large division cubes and the spectral representation of the Green's function for cubes smaller than one half wavelength, thereby avoiding the sub-wavelength breakdown of the high-frequency MLFMA.

引用

页码：507 / 526

页数：20

共 50 条

[21] A Hybrid Broadband Fast Multipole Algorithm
Xia, Tian
Meng, Lingling
Liu, Qin
Gan, Hui
Chew, Weng Cho
2018 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION & USNC/URSI NATIONAL RADIO SCIENCE MEETING, 2018, : 2305 - 2306
[22] Comparison of Iteration Solution Methods with Multilevel Fast Multipole Algorithm for Solving Large-scale Scattering Problems
Hu, Fangjing
Nie, Zaiping
APMC: 2009 ASIA PACIFIC MICROWAVE CONFERENCE, VOLS 1-5, 2009, : 806 - 809
[23] Multilevel Fast Multipole Algorithm for Dielectric Large-scale Electromagnetics Scattering Problems using GPU clusters
Nghia Tran
Kilic, Ozlem
2016 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM, 2016, : 755 - 756
[24] Broadband Multilevel Fast Multipole Algorithm Based on an Approximate Diagonalization of the Green's Function
Ergul, Ozgur
Karaosmanoglu, Bariscan
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2015, 63 (07) : 3035 - 3041
[25] A Low-Frequency Stable Broadband Multilevel Fast Multipole Algorithm Using Plane Wave Multipole Hybridization
Xia, Tian
Meng, Ling Ling
Liu, Qin S.
Gan, Hui H.
Chew, Weng Cho
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2018, 66 (11) : 6137 - 6145
[26] Parallelized multilevel fast multipole algorithm for scattering by objects with anisotropic impedance surfaces
Zhang, Kedi
Jin, Jian-Ming
INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2015, 28 (01) : 107 - 119
[27] AN EFFICIENT HIGH ORDER MULTILEVEL FAST MULTIPOLE ALGORITHM FOR ELECTROMAGNETIC SCATTERING ANALYSIS
Pan, X. -M.
Cai, L.
Sheng, X. -Q.
PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, 2012, 126 : 85 - 100
[28] Solution of large-scale plasmonic problems with the multilevel fast multipole algorithm
Araujo, M. G.
Taboada, J. M.
Rivero, J.
Solis, D. M.
Obelleiro, F.
OPTICS LETTERS, 2012, 37 (03) : 416 - 418
[29] Error analysis of the multilevel fast multipole algorithm
Ohnuki, Shinichiro
Chew, Weng Cho
IEICE TRANSACTIONS ON ELECTRONICS, 2006, E89C (11) : 1676 - 1681
[30] Error analysis for the multilevel fast multipole algorithm
Koc, S
Song, JM
Chew, WC
IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM - ANTENNAS: GATEWAYS TO THE GLOBAL NETWORK, VOLS 1-4, 1998, : 1758 - 1761

← 1 2 3 4 5 →