×
Gao, Zhenyu; Li, Zonglin; Liu, Yijun

A time-domain boundary element method using a kernel-function library for 3D acoustic problems. (English) Zbl 07855316

Eng. Anal. Bound. Elem. 161, 103-112 (2024).

Cited in 1 Document

MSC:

76-XX Fluid mechanics
65-XX Numerical analysis

Keywords:

time-domain boundary element method; kernel-function library; 3D acoustic problems; transient response; tuning fork

Software:

FEAPpv
Cite Review PDF
Full Text: DOI

References:

[1] Brebbia, C. A., The boundary element method for engineers, 1978, Pentech Press: Pentech Press London · Zbl 0414.65060
[2] Zienkiewicz, O. C.; Taylor, R. L.; Zhu, J. Z., The finite element method : its basis and fundamentals, 2013, Butterworth-Heinemann: Butterworth-Heinemann Oxford, UK · Zbl 1307.74005
[3] Liu, Y. J., On the BEM for acoustic wave problems, Eng Anal Bound Elem, 107, 53-62, 2019, No. · Zbl 1464.76096
[4] Burton, A. J.; Miller, G. F., The application of integral equation methods to the numerical solution of some exterior boundary-value problems, Proc R Soc. A, Math Phys Eng Sci, 323, 1553, 201, 1971 · Zbl 0235.65080
[5] Meyer, W. L.; Bell, W. A.; Zinn, B. T.; Stallybrass, M. P., Boundary integral solutions of three dimensional acoustic radiation problems, J Sound Vib, 59, 2, 245-262, 1978 · Zbl 0391.76052
[6] Cunefare, K. A.; Koopmann, G.; Brod, K., A boundary element method for acoustic radiation valid for all wavenumbers, J Acoust Soc Am, 85, 1, 39-48, 1989
[7] Liu, Y. J.; Chen, S., A new form of the hypersingular boundary integral equation for 3-D acoustics and its implementation with C0 boundary elements, Comput Methods Appl Mech Eng, 173, 3, 375-386, 1999 · Zbl 0946.76051
[8] Greengard, L.; Rokhlin, V., A fast algorithm for particle simulations, J Comput Phys, 135, 2, 280-292, 1997 · Zbl 0898.70002
[9] Nishimura, N.; Yoshida, K.-i.; Kobayashi, S., A fast multipole boundary integral equation method for crack problems in 3D, Eng Anal Bound Elem, 23, 1, 97-105, 1999 · Zbl 0953.74074
[10] Liu, Y. J.; Nishimura, N.; Yao, Z. H., A fast multipole accelerated method of fundamental solutions for potential problems, Eng Anal Bound Elem, 29, 11, 1016-1024, 2005 · Zbl 1182.74256
[11] Shen, L.; Liu, Y. J., An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation, Comput Mech, 40, 3, 461-472, 2007 · Zbl 1176.76083
[12] Huang, S.; Liu, Y. J., A new simple multidomain fast multipole boundary element method, Comput Mech, 58, 3, 533-548, 2016 · Zbl 1398.74439
[13] Liu, Y. J., Fast multipole boundary element method : theory and applications in engineering, 2009, Cambridge University Press: Cambridge University Press Cambridge
[14] Hackbusch, W., A sparse matrix arithmetic based on h-matrices. Part I : Introduction to h-matrices, Computing, 62, 2, 89-108, 1999 · Zbl 0927.65063
[15] Bebendorf, M., Approximation of boundary element matrices, Numer Math (Heidelb), 86, 4, 565-589, 2000 · Zbl 0966.65094
[16] Martinsson, P. G.; Rokhlin, V., A fast direct solver for boundary integral equations in two dimensions, J Comput Phys, 205, 1, 1-23, 2005 · Zbl 1078.65112
[17] Lai, J.; Ambikasaran, S.; Greengard, L. F., A fast direct solver for high frequency scattering from a large cavity in two dimensions, SIAM J Sci Comput, 36, 6, B887-B903, 2014 · Zbl 1319.78008
[18] Li, R.; Liu, Y. J.; Ye, W., A fast direct boundary element method for 3D acoustic problems based on hierarchical matrices, Eng Anal Bound Elem, 147, 171-180, 2023 · Zbl 1521.74335
[19] Langer, S.; Schanz, M., Time domain boundary element method, (Marburg, S.; Nolte, B., Computational acoustics of noise propagation in fluids - finite and boundary element methods, 2008, Springer Berlin Heidelberg: Springer Berlin Heidelberg Berlin, Heidelberg), 495-516
[20] Ergin, A. A.; Shanker, B.; Michielssen, E., Fast evaluation of three-dimensional transient wave fields using diagonal translation operators, J Comput Phys, 146, 1, 157-180, 1998 · Zbl 0916.65092
[21] Ergin, A. A.; Shanker, B.; Michielssen, E., Fast transient analysis of acoustic wave scattering from rigid bodies using a two-level plane wave time domain algorithm, J Acoust Soc Am, 106, 5, 2405-2416, 1999
[22] Ergin, A. A.; Shanker, B.; Michielssen, E., Fast analysis of transient acoustic wave scattering from rigid bodies using the multilevel plane wave time domain algorithm, J Acoust Soc Am, 107, 3, 1168-1178, 2000
[23] Takahashi, T., An interpolation-based fast-multipole accelerated boundary integral equation method for the three-dimensional wave equation, J Comput Phys, 258, 809-832, 2014 · Zbl 1349.65416
[24] Takahashi, T.; Tanigawa, M.; Miyazawa, N., An enhancement of the fast time-domain boundary element method for the three-dimensional wave equation, Comput Phys Commun, 271, Article 108229 pp., 2022 · Zbl 1528.65066
[25] Takahashi, T., A fast time-domain boundary element method for three-dimensional electromagnetic scattering problems, J Comput Phys, 482, Article 112053 pp., 2023 · Zbl 07679171
[26] Aimi, A.; Desiderio, L.; Di Credico, G., Partially pivoted ACA based acceleration of the energetic BEM for time-domain acoustic and elastic waves exterior problems, Comput Math Appl, 119, 351-370, 2022 · Zbl 1524.65485
[27] Thirard, C.; Parot, J.-M., On a way to save memory when solving time domain boundary integral equations for acoustic and vibroacoustic applications, J Comput Phys, 348, 744-753, 2017
[28] Yoshikawa, N. N.H., An improved implementation of time domain elastodynamic BIEM in 3D for large scale problems and its application to ultrasonic NDE, Electron J Bound Elem, 1, 2, 201-217, 2003
[29] Pan, L.; Adams, D. O.; Rizzo, F. J., Boundary element analysis for composite materials and a library of Green’s functions, Comput Struct, 66, 5, 685-693, 1998 · Zbl 0973.74644
[30] Russell, D. A., On the sound field radiated by a tuning fork, Am J Phys, 68, 12, 1139-1145, 2000, No.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.