메뉴 건너뛰기




Volumn 230, Issue 5, 2011, Pages 1992-2003

High-performance modeling acoustic and elastic waves using the parallel Dichotomy Algorithm

Author keywords

Acoustic waves; Elastic waves; Laguerre transform; Parallel Dichotomy Algorithm; Parallel Thomas algorithm; Tridiagonal matrix algorithm (TDMA)

Indexed keywords

ACOUSTIC WAVE PROPAGATION; ACOUSTIC WAVES; CONJUGATE GRADIENT METHOD; DIFFERENCE EQUATIONS; FINITE DIFFERENCE METHOD; INITIAL VALUE PROBLEMS; LINEAR SYSTEMS; MATRIX ALGEBRA; PARALLEL ALGORITHMS; TIME DIVISION MULTIPLE ACCESS;

EID: 78651443344     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.11.046     Document Type: Article
Times cited : (19)

References (55)
  • 4
    • 0013194108 scopus 로고    scopus 로고
    • Spectral Laguerre method for the approximate solution of time dependent problems
    • Mikhailenko B.G. Spectral Laguerre method for the approximate solution of time dependent problems. Appl. Math. Lett. 1999, 12:105-110.
    • (1999) Appl. Math. Lett. , vol.12 , pp. 105-110
    • Mikhailenko, B.G.1
  • 5
    • 0036989021 scopus 로고    scopus 로고
    • The convergence of spectral and finite difference methods for initial-boundary value problems
    • Flyer N., Swarztrauber P.N. The convergence of spectral and finite difference methods for initial-boundary value problems. SIAM J. Sci. Comput. 2002, 23(5):1731-1751.
    • (2002) SIAM J. Sci. Comput. , vol.23 , Issue.5 , pp. 1731-1751
    • Flyer, N.1    Swarztrauber, P.N.2
  • 11
    • 85190760350 scopus 로고    scopus 로고
    • Parallel elliptic PDE solver. Informatics and Mathematical Modelling, Technical University of Denmark, DTU
    • J. Grooss, Parallel elliptic PDE solver. Informatics and Mathematical Modelling, Technical University of Denmark, DTU, (2001).
    • (2001)
    • Grooss, J.1
  • 12
    • 34547545286 scopus 로고    scopus 로고
    • An efficient direct parallel spectral-element solver for separable elliptic problems
    • Kwan Y., Shen J. An efficient direct parallel spectral-element solver for separable elliptic problems. J. Comput. Phys. 2007, 225(2):1721-1735.
    • (2007) J. Comput. Phys. , vol.225 , Issue.2 , pp. 1721-1735
    • Kwan, Y.1    Shen, J.2
  • 14
    • 0006606983 scopus 로고    scopus 로고
    • Fast parallel direct solvers for coarse grid problems
    • Tufo H.M., Fischer P.F. Fast parallel direct solvers for coarse grid problems. J. Parallel Distr. Comput. 2001, 61(2):151-177.
    • (2001) J. Parallel Distr. Comput. , vol.61 , Issue.2 , pp. 151-177
    • Tufo, H.M.1    Fischer, P.F.2
  • 16
    • 0000155526 scopus 로고
    • Solving tridiagonal systems on ensemble architectures
    • Lennart Johnsson S. Solving tridiagonal systems on ensemble architectures. SIAM J. Sci. Stat. Comput. 1987, 8(3):354-392.
    • (1987) SIAM J. Sci. Stat. Comput. , vol.8 , Issue.3 , pp. 354-392
    • Lennart Johnsson, S.1
  • 17
    • 85190756025 scopus 로고
    • Numerical Methods for Grid Equations. Birkhauser Verlag Translated from Russian.
    • A.A. Samarskij and E.S. Nikalayev. Numerical Methods for Grid Equations. Birkhauser Verlag, (1989). Translated from Russian.
    • (1989)
    • Samarskij, A.A.1    Nikalayev, E.S.2
  • 18
    • 0012523497 scopus 로고
    • Solution of elliptic equations using fast poisson solvers
    • Bernhardt P.A., Brackbilla J.U. Solution of elliptic equations using fast poisson solvers. J. Comp. Phys. 1984, 53:382-394.
    • (1984) J. Comp. Phys. , vol.53 , pp. 382-394
    • Bernhardt, P.A.1    Brackbilla, J.U.2
  • 19
    • 0000254617 scopus 로고
    • Use of fast direct methods for the efficient numerical solution of non-separable elliptic equations
    • Concus P., Golub H.G. Use of fast direct methods for the efficient numerical solution of non-separable elliptic equations. SIAM J. Numer. Anal. 1973, 10:1103-1120.
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 1103-1120
    • Concus, P.1    Golub, H.G.2
  • 21
    • 38249040450 scopus 로고
    • Solution of elliptic pdes by fast poisson solvers using a local relaxation factor
    • Chang S. Solution of elliptic pdes by fast poisson solvers using a local relaxation factor. J. Comput. Phys. 1986, 67(1):91-123.
    • (1986) J. Comput. Phys. , vol.67 , Issue.1 , pp. 91-123
    • Chang, S.1
  • 22
    • 0033693892 scopus 로고    scopus 로고
    • Waveform relaxation with fast direct methods as preconditioner
    • Simoens J., Vandewalle S. Waveform relaxation with fast direct methods as preconditioner. SIAM J. Sci. Comput. 1999, 21(5):1755-1773.
    • (1999) SIAM J. Sci. Comput. , vol.21 , Issue.5 , pp. 1755-1773
    • Simoens, J.1    Vandewalle, S.2
  • 24
    • 84932220767 scopus 로고
    • A fast direct solution of poisson's equation using Fourier analysis
    • Hockney R.W. A fast direct solution of poisson's equation using Fourier analysis. J. ACM 1965, 12(1):95-113.
    • (1965) J. ACM , vol.12 , Issue.1 , pp. 95-113
    • Hockney, R.W.1
  • 25
    • 0002058827 scopus 로고
    • The numerical solution of parabolic and elliptic differential equations
    • Peaceman D.W., Rachford H.H. The numerical solution of parabolic and elliptic differential equations. SIAM J. 1955, 3:28-41.
    • (1955) SIAM J. , vol.3 , pp. 28-41
    • Peaceman, D.W.1    Rachford, H.H.2
  • 26
    • 77953870173 scopus 로고    scopus 로고
    • Parallel dichotomy algorithm for solving tridiagonal system of linear equations with multiple right-hand sides
    • Terekhov A.V. Parallel dichotomy algorithm for solving tridiagonal system of linear equations with multiple right-hand sides. Parallel Comput. 2010, 36(8):423-438.
    • (2010) Parallel Comput. , vol.36 , Issue.8 , pp. 423-438
    • Terekhov, A.V.1
  • 28
    • 85190774458 scopus 로고    scopus 로고
    • Automatically tuned collective communications. In Supercomputing '00: Proceedings of the 2000 ACM/IEEE conference on Supercomputing (CDROM), page3, Washington, DC, USA,IEEE Computer Society.
    • S.S. Vadhiyar, G.E. Fagg, and J.Dongarra. Automatically tuned collective communications. In Supercomputing '00: Proceedings of the 2000 ACM/IEEE conference on Supercomputing (CDROM), page3, Washington, DC, USA, (2000). IEEE Computer Society.
    • (2000)
    • Vadhiyar, S.S.1    Fagg, G.E.2    Dongarra, J.3
  • 29
    • 0038519369 scopus 로고    scopus 로고
    • Efficient collective communication in distributed heterogeneous systems
    • Bhat P.B., Raghavendra C.S., Prasanna V.K. Efficient collective communication in distributed heterogeneous systems. J. Parallel Distr. Comput. 2003, 63(3):251-263.
    • (2003) J. Parallel Distr. Comput. , vol.63 , Issue.3 , pp. 251-263
    • Bhat, P.B.1    Raghavendra, C.S.2    Prasanna, V.K.3
  • 30
    • 85190801279 scopus 로고    scopus 로고
    • Application of the parallel dichotomy algorithm for solving toeplitz tridiagonal systems of linear equations with one right-hand side (submitted for publication)
    • A.V. Terekhov. Application of the parallel dichotomy algorithm for solving toeplitz tridiagonal systems of linear equations with one right-hand side (submitted for publication)., (2010). http://arxiv.org/abs/1002.2469v1.
    • (2010)
    • Terekhov, A.V.1
  • 31
    • 85190802297 scopus 로고    scopus 로고
    • Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover, New York, ninth dover printing, tenth gpo printing edition, (1964).
    • M.Abramowitz and I.A. Stegun. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover, New York, ninth dover printing, tenth gpo printing edition, (1964).
    • Abramowitz, M.1    Stegun, I.A.2
  • 35
    • 27644559228 scopus 로고    scopus 로고
    • Encyclopedia of Computational Mechanics
    • Wiley, E. Stein, R. deBorst, T.J.R. Hughes (Eds.)
    • Encyclopedia of Computational Mechanics. Solids and Structures 2004, vol. 2. Wiley. E. Stein, R. deBorst, T.J.R. Hughes (Eds.).
    • (2004) Solids and Structures , vol.2
  • 36
    • 85190818847 scopus 로고    scopus 로고
    • vander Vorst, Numerical Linear Algebra for High Performance Computers, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA
    • J. Dongarra, L. Duff, D. Sorensen, and Henk, A. vander Vorst, Numerical Linear Algebra for High Performance Computers, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1998.
    • (1998)
    • Dongarra, J.1    Duff, L.2    Sorensen, D.3    Henk, A.4
  • 37
    • 38249027051 scopus 로고
    • Fast fourier transforms for direct solution of poisson's equation with staggered boundary conditions
    • Schumann U. Fast fourier transforms for direct solution of poisson's equation with staggered boundary conditions. J. Comput. Phys. 1988, 75:123-137.
    • (1988) J. Comput. Phys. , vol.75 , pp. 123-137
    • Schumann, U.1
  • 38
    • 85190801602 scopus 로고    scopus 로고
    • Fftw 3.2.2.
    • Fftw 3.2.2. http://fftw.org/.
  • 39
    • 77953129952 scopus 로고    scopus 로고
    • High-performance finite-element simulations of seismic wave propagation in threedimensional nonlinear inelastic geological media
    • Dupros F., DeMartin F., Foerster E., Komatitsch D., Roman J. High-performance finite-element simulations of seismic wave propagation in threedimensional nonlinear inelastic geological media. Parallel Comput. 2010, 36(5-6):308-325.
    • (2010) Parallel Comput. , vol.36 , Issue.5-6 , pp. 308-325
    • Dupros, F.1    DeMartin, F.2    Foerster, E.3    Komatitsch, D.4    Roman, J.5
  • 41
    • 33847255524 scopus 로고    scopus 로고
    • High-order schemes for acoustic waveform simulation
    • Kim S., Lim H. High-order schemes for acoustic waveform simulation. Appl. Numer. Math. 2007, 57(4):402-414.
    • (2007) Appl. Numer. Math. , vol.57 , Issue.4 , pp. 402-414
    • Kim, S.1    Lim, H.2
  • 42
    • 78651467003 scopus 로고    scopus 로고
    • Simulation of seismic wave propagation in heterogeneous media
    • Mikhailenko B.G. Simulation of seismic wave propagation in heterogeneous media. Siberian J. Numer. Math. 2003, 6:415-429.
    • (2003) Siberian J. Numer. Math. , vol.6 , pp. 415-429
    • Mikhailenko, B.G.1
  • 43
    • 0040942024 scopus 로고
    • Numerical Modeling of Seismic Wave Propagation. Number13 in Geophysics Reprints Series
    • Kelly K.R. Numerical Modeling of Seismic Wave Propagation. Number13 in Geophysics Reprints Series. Soc. Explor. Geophys. 1990.
    • (1990) Soc. Explor. Geophys.
    • Kelly, K.R.1
  • 44
    • 0020968886 scopus 로고
    • Numerical study of love wave propagation
    • Kelly K.R. Numerical study of love wave propagation. Geophysics 1983, 48(7):833-853.
    • (1983) Geophysics , vol.48 , Issue.7 , pp. 833-853
    • Kelly, K.R.1
  • 45
    • 1642264281 scopus 로고    scopus 로고
    • Numerical treatment of two-dimensional interfaces for acoustic and elastic waves
    • Lombard B., Piraux Joël Numerical treatment of two-dimensional interfaces for acoustic and elastic waves. J. Comput. Phys. 2004, 195(1):90-116.
    • (2004) J. Comput. Phys. , vol.195 , Issue.1 , pp. 90-116
    • Lombard, B.1    Piraux, J.2
  • 46
    • 49349109475 scopus 로고    scopus 로고
    • A domain decomposition solver for acoustic scattering by elastic objects in layered media
    • Ito K., Qiao Z., Toivanen J. A domain decomposition solver for acoustic scattering by elastic objects in layered media. J. Comput. Phys. 2008, 227(19):8685-8698.
    • (2008) J. Comput. Phys. , vol.227 , Issue.19 , pp. 8685-8698
    • Ito, K.1    Qiao, Z.2    Toivanen, J.3
  • 47
    • 0037472503 scopus 로고    scopus 로고
    • Mpi solver for 3D elasticity problems
    • Lirkov I. Mpi solver for 3D elasticity problems. Math. Comput. Simul. 2003, 61(3-6):509-516.
    • (2003) Math. Comput. Simul. , vol.61 , Issue.3-6 , pp. 509-516
    • Lirkov, I.1
  • 48
    • 0000259603 scopus 로고
    • Matrix method for elastic wave problems
    • Knopoff L.A. Matrix method for elastic wave problems. Bull. Seismol. Soc. Amer. 1964, 54:431-438.
    • (1964) Bull. Seismol. Soc. Amer. , vol.54 , pp. 431-438
    • Knopoff, L.A.1
  • 49
    • 0018654763 scopus 로고
    • Theoretical reflection seismograms for elastic media
    • Kennett B.L.N. Theoretical reflection seismograms for elastic media. Geophys. Prospect. 1979, 27(2):301-321.
    • (1979) Geophys. Prospect. , vol.27 , Issue.2 , pp. 301-321
    • Kennett, B.L.N.1
  • 50
    • 36849122738 scopus 로고
    • Transmission of classic waves through a stratified solid material
    • Thomson W.T. Transmission of classic waves through a stratified solid material. J. Appl. Phys. 1950, 21(1):89-93.
    • (1950) J. Appl. Phys. , vol.21 , Issue.1 , pp. 89-93
    • Thomson, W.T.1
  • 51
    • 0002392976 scopus 로고
    • The dispersion of surface waves on multilayered media
    • Haskell N.A. The dispersion of surface waves on multilayered media. Bull. Seismol. Soc. Amer. 1953, 43(1):17-34.
    • (1953) Bull. Seismol. Soc. Amer. , vol.43 , Issue.1 , pp. 17-34
    • Haskell, N.A.1
  • 52
    • 0000322178 scopus 로고
    • Computation of model solutions in layered elastic media at high frequencies
    • Dunkin I.W. Computation of model solutions in layered elastic media at high frequencies. Bull. Seismol. Soc. Amer. 1965, 55(2):355-358.
    • (1965) Bull. Seismol. Soc. Amer. , vol.55 , Issue.2 , pp. 355-358
    • Dunkin, I.W.1
  • 53
    • 0001972453 scopus 로고
    • Semi-analytical method of the solution of direct dynamic problems in layered mediums
    • Fatyanov A.G. Semi-analytical method of the solution of direct dynamic problems in layered mediums. Dokl. Akad. Nauk SSSR310 1990.
    • (1990) Dokl. Akad. Nauk SSSR310
    • Fatyanov, A.G.1
  • 54
    • 25144463958 scopus 로고    scopus 로고
    • Mathematical simulation of wave fields in media with arbitrary curvilinear boundaries
    • Fatyanov A.G. Mathematical simulation of wave fields in media with arbitrary curvilinear boundaries. Appl. Math. Lett. 2005, 8(11):1216-1223.
    • (2005) Appl. Math. Lett. , vol.8 , Issue.11 , pp. 1216-1223
    • Fatyanov, A.G.1
  • 55
    • 32644445140 scopus 로고    scopus 로고
    • Marmousi2: An elastic upgrade for Marmousi
    • Martin G.S., Wiley R., Marfurt K.J. Marmousi2: An elastic upgrade for Marmousi. The Leading Edge 2006, 25(2):156-166.
    • (2006) The Leading Edge , vol.25 , Issue.2 , pp. 156-166
    • Martin, G.S.1    Wiley, R.2    Marfurt, K.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.