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Volumn 1, Issue 1, 2012, Pages 3-17

Explicit discrete dispersion relations for the acousticwave equation in d-dimensions using finite element, spectral element and optimally blended schemes

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EID: 84870540952     PISSN: 18698433     EISSN: 18698441     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (2)

References (20)
  • 1
    • 10444290190 scopus 로고    scopus 로고
    • Discrete dispersion relation for hp-version finite element approximation at high wave number
    • (electronic)
    • Ainsworth, M.: Discrete dispersion relation for hp-version finite element approximation at high wave number. SIAM J. Numer. Anal. 42(2), 553-575 (2004) (electronic)
    • (2004) SIAM J. Numer. Anal. , vol.42 , Issue.2 , pp. 553-575
    • Ainsworth, M.1
  • 2
    • 1642361016 scopus 로고    scopus 로고
    • Dispersive properties of high-order Nédélec/edge element approximation of the time-harmonic Maxwell equations
    • Ainsworth, M.: Dispersive properties of high-order Nédélec/edge element approximation of the time-harmonic Maxwell equations. Philos. Trans. R. Soc. Lond. Ser. AMath. Phys. Eng. Sci. 362(1816), 471-491 (2004)
    • (2004) Philos. Trans. R. Soc. Lond. Ser. AMath. Phys. Eng. Sci. , vol.362 , Issue.1816 , pp. 471-491
    • Ainsworth, M.1
  • 3
    • 77951863550 scopus 로고    scopus 로고
    • Dispersive and dissipative behaviour of the spectral element method
    • accepted
    • Ainsworth, M., Wajid, H.A.: Dispersive and dissipative behaviour of the spectral element method. SIAM J. Numer. Anal. (accepted, 2009)
    • (2009) SIAM J. Numer. Anal.
    • Ainsworth, M.1    Wajid, H.A.2
  • 4
    • 77951820304 scopus 로고    scopus 로고
    • Optimally blended spectral-finite element scheme for wave propagation, and non-standard reduced integration
    • submitted
    • Ainsworth, M., Wajid, H.A.: Optimally blended spectral-finite element scheme for wave propagation, and non-standard reduced integration. SIAM J. Numer. Anal. (submitted, 2009)
    • (2009) SIAM J. Numer. Anal.
    • Ainsworth, M.1    Wajid, H.A.2
  • 5
    • 63049109674 scopus 로고    scopus 로고
    • The mathematical theory of finite element methods
    • In:, 3rd edn., Springer, New York
    • Brenner, S.C., Scott, L.R.: The mathematical theory of finite element methods. In: Texts in Applied Mathematics, 3rd edn., vol. 15. Springer, New York (2008)
    • (2008) Texts in Applied Mathematics , vol.15
    • Brenner, S.C.1    Scott, L.R.2
  • 8
    • 0013179027 scopus 로고    scopus 로고
    • Higher-order numerical methods for transient wave equations
    • In:, Heidelberg With a foreword by R. Glowinski
    • Cohen, G.C.: Higher-order numerical methods for transient wave equations. In: Scientific Computation. Springer, Heidelberg (2002) With a foreword by R. Glowinski
    • (2002) Scientific Computation. Springer
    • Cohen, G.C.1
  • 9
    • 36148978170 scopus 로고    scopus 로고
    • Grid dispersion and stability criteria of some common finiteelement methods for acoustic and elastic wave equation
    • De Basabe, J., Sen, M.: Grid dispersion and stability criteria of some common finiteelement methods for acoustic and elastic wave equation. Geophysics 72(6), T81-T95 (2007)
    • (2007) Geophysics , vol.72 , Issue.6
    • de Basabe, J.1    Sen, M.2
  • 10
    • 3042606623 scopus 로고    scopus 로고
    • Superaccurate finite element eigenvalue computation
    • Fried, I., Chavez, M.: Superaccurate finite element eigenvalue computation. Journal of sound and vibration 275, 415-422 (2004)
    • (2004) Journal of sound and vibration , vol.275 , pp. 415-422
    • Fried, I.1    Chavez, M.2
  • 11
    • 0347930487 scopus 로고    scopus 로고
    • Modified integration rules for reducing dispersion error in finite element methods
    • Guddati, M., Yue, B.: Modified integration rules for reducing dispersion error in finite element methods. Comput. Methods Appl. Mech. Engrg. 193, 275-287 (2004)
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 275-287
    • Guddati, M.1    Yue, B.2
  • 12
    • 26844477407 scopus 로고    scopus 로고
    • Dispersion-reducing finite elements for transient acoustics
    • Guddati, M., Yue, B.: Dispersion-reducing finite elements for transient acoustics. J. Acoust. Soc. Am. 118(4), 2132-2141 (2005)
    • (2005) J. Acoust. Soc. Am. , vol.118 , Issue.4 , pp. 2132-2141
    • Guddati, M.1    Yue, B.2
  • 13
    • 0003311658 scopus 로고    scopus 로고
    • Finite element analysis of acoustic scattering
    • In:, Springer, New York
    • Ihlenburg, F.: Finite element analysis of acoustic scattering. In: Applied Mathematical Sciences, vol. 132. Springer, New York (1998)
    • (1998) Applied Mathematical Sciences , vol.32
    • Ihlenburg, F.1
  • 14
    • 0001201384 scopus 로고
    • Finite element solution of the Helmholtz equation with high wave number. I. The h-version of the FEM
    • Ihlenburg, F., Babuška, I.: Finite element solution of the Helmholtz equation with high wave number. I. The h-version of the FEM. Comput. Math. Appl. 30(9), 9-37 (1995)
    • (1995) Comput. Math. Appl. , vol.30 , Issue.9 , pp. 9-37
    • Ihlenburg, F.1    Babuška, I.2
  • 15
    • 0001299857 scopus 로고    scopus 로고
    • Finite element solution of the Helmholtz equation with high wave number. II. The h-p version of the FEM
    • Ihlenburg, F., Babuška, I.: Finite element solution of the Helmholtz equation with high wave number. II. The h-p version of the FEM. SIAM J. Numer. Anal. 34(1), 315-358 (1997)
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.1 , pp. 315-358
    • Ihlenburg, F.1    Babuška, I.2
  • 16
    • 0036252025 scopus 로고    scopus 로고
    • Spectral-element simulations of global seismic wave propagation-I. Validation
    • Komatitsch, D., Tromp, J.: Spectral-element simulations of global seismic wave propagation-I. Validation. Geophys. J. Int. 149(2), 390-412 (2002)
    • (2002) Geophys. J. Int. , vol.149 , Issue.2 , pp. 390-412
    • Komatitsch, D.1    Tromp, J.2
  • 17
    • 0036075317 scopus 로고    scopus 로고
    • Spectral-element simulations of global seismic wave propagation-II. 3-D models, oceans, rotation, and self-gravitation. Geophys
    • doi:10.1046/j.1365-246X.2002.01716.x
    • Komatitsch, D., Tromp, J.: Spectral-element simulations of global seismic wave propagation-II. 3-D models, oceans, rotation, and self-gravitation. Geophys. J. Int. 150(1), 303-318 (2002), doi:10.1046/j.1365-246X.2002.01716.x
    • (2002) J. Int. , vol.150 , Issue.1 , pp. 303-318
    • Komatitsch, D.1    Tromp, J.2
  • 18
    • 0021644645 scopus 로고
    • Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave equations
    • Marfurt, K.J.: Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave equations. Geophysics 49(5), 533-549 (1984)
    • (1984) Geophysics , vol.49 , Issue.5 , pp. 533-549
    • Marfurt, K.J.1
  • 19
    • 0033164986 scopus 로고    scopus 로고
    • Spurious modes in finite-element discretizations of the wave equation not be all that bad
    • Mulder, W.A.: Spurious modes in finite-element discretizations of the wave equation not be all that bad. Appl. Numer. Math. 30(4), 425-445 (1999)
    • (1999) Appl. Numer. Math. , vol.30 , Issue.4 , pp. 425-445
    • Mulder, W.A.1
  • 20
    • 0028196254 scopus 로고
    • Complex wavenumber Fourier analysis of the p-version finite element method
    • Thompson, L.L., Pinsky, P.M.: Complex wavenumber Fourier analysis of the p-version finite element method. Comput. Mech. 13(4), 255-275 (1994)
    • (1994) Comput. Mech. , vol.13 , Issue.4 , pp. 255-275
    • Thompson, L.L.1    Pinsky, P.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.