메뉴 건너뛰기




Volumn 190, Issue 1, 2007, Pages 576-582

A wavelet multiscale-homotopy method for the inverse problem of two-dimensional acoustic wave equation

Author keywords

Inverse problem of two dimensional wave equation; Seismic prospecting; Wavelet multiscale homotopy method

Indexed keywords

ACOUSTIC WAVES; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; NOISE ABATEMENT; SEISMIC PROSPECTING; WAVE EQUATIONS; WAVELET ANALYSIS;

EID: 34249792665     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.01.050     Document Type: Article
Times cited : (15)

References (16)
  • 1
    • 0001175118 scopus 로고
    • A multiresolution method for distributed parameter estimation
    • Liu J. A multiresolution method for distributed parameter estimation. SIAM J. Sci. Comput. 14 (1993) 389-405
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 389-405
    • Liu, J.1
  • 2
    • 0029288068 scopus 로고
    • Nonlinear solutions of linear inverse problems by wavelet-vaguelette decompositions
    • Donoho D.L. Nonlinear solutions of linear inverse problems by wavelet-vaguelette decompositions. Appl. Comput. Harmon. Anal. 2 (1995) 101-126
    • (1995) Appl. Comput. Harmon. Anal. , vol.2 , pp. 101-126
    • Donoho, D.L.1
  • 3
    • 0031542819 scopus 로고    scopus 로고
    • A wavelet multigrid method for ill-posed problems stabilized by Tikhonov regularization
    • Rieder A. A wavelet multigrid method for ill-posed problems stabilized by Tikhonov regularization. Numer. Math. 75 (1997) 501-522
    • (1997) Numer. Math. , vol.75 , pp. 501-522
    • Rieder, A.1
  • 4
    • 0037219763 scopus 로고    scopus 로고
    • Multiresolution parameterization for geophysical inverse problems
    • Chiao L.Y., and Liang W.T. Multiresolution parameterization for geophysical inverse problems. Geophysics 68 (2003) 199-209
    • (2003) Geophysics , vol.68 , pp. 199-209
    • Chiao, L.Y.1    Liang, W.T.2
  • 5
    • 4944256106 scopus 로고    scopus 로고
    • A wavelet multiscale method for the inverse problems of a two-dimensional wave equation
    • Fu H.S., and Han B. A wavelet multiscale method for the inverse problems of a two-dimensional wave equation. Inverse Probl Sci Eng 12 (2004) 643-656
    • (2004) Inverse Probl Sci Eng , vol.12 , pp. 643-656
    • Fu, H.S.1    Han, B.2
  • 6
    • 0001639271 scopus 로고
    • Globally convergent homotopy methods: a tutorial
    • Watson L.T. Globally convergent homotopy methods: a tutorial. Appl. Math. Comput. 31 (1989) 369-396
    • (1989) Appl. Math. Comput. , vol.31 , pp. 369-396
    • Watson, L.T.1
  • 7
    • 3943092529 scopus 로고    scopus 로고
    • Comparison of homotopy perturbation method and homotopy analysis method
    • He J.H. Comparison of homotopy perturbation method and homotopy analysis method. Appl. Math. Comput. 156 (2004) 527-539
    • (2004) Appl. Math. Comput. , vol.156 , pp. 527-539
    • He, J.H.1
  • 8
    • 1242287587 scopus 로고    scopus 로고
    • The homotopy perturbation method for nonlinear oscillators with discontinuities
    • He J.H. The homotopy perturbation method for nonlinear oscillators with discontinuities. Appl. Math. Comput. 151 (2004) 287-292
    • (2004) Appl. Math. Comput. , vol.151 , pp. 287-292
    • He, J.H.1
  • 10
    • 0028595385 scopus 로고
    • Singularity and branching: a path-following formalism for geophysical inverse problems
    • Vasco D.W. Singularity and branching: a path-following formalism for geophysical inverse problems. Geophys. J. Int. 119 (1994) 809-830
    • (1994) Geophys. J. Int. , vol.119 , pp. 809-830
    • Vasco, D.W.1
  • 11
    • 20744460551 scopus 로고
    • A widely convergent method for determining the distributed parameters of an elliptical equation
    • Han H., Shao J.Q., and Guo B.Q. A widely convergent method for determining the distributed parameters of an elliptical equation. Appl. Math. Comput. 60 (1994) 139-146
    • (1994) Appl. Math. Comput. , vol.60 , pp. 139-146
    • Han, H.1    Shao, J.Q.2    Guo, B.Q.3
  • 12
    • 0042505307 scopus 로고    scopus 로고
    • A widely convergent generalized pulse-spectrum technique for the coefficient inverse problem of differential equations
    • Han B., Zhang M.L., and Liu J.Q. A widely convergent generalized pulse-spectrum technique for the coefficient inverse problem of differential equations. Appl. Math. Comput. 81 (1997) 97-112
    • (1997) Appl. Math. Comput. , vol.81 , pp. 97-112
    • Han, B.1    Zhang, M.L.2    Liu, J.Q.3
  • 13
    • 2142821321 scopus 로고    scopus 로고
    • Numerical solution of inverse scattering problems with multi-experimental limited aperture
    • Bao G., and Liu J. Numerical solution of inverse scattering problems with multi-experimental limited aperture. SIAM J. Sci. Comput. 25 (2003) 1102-1117
    • (2003) SIAM J. Sci. Comput. , vol.25 , pp. 1102-1117
    • Bao, G.1    Liu, J.2
  • 14
    • 20744434836 scopus 로고    scopus 로고
    • A homotopy method for the inversion of a two-dimensional acoustic wave equation
    • Han B., Fu H.S., and Li Z. A homotopy method for the inversion of a two-dimensional acoustic wave equation. Inverse Probl. Sci. Eng. 13 (2005) 411-431
    • (2005) Inverse Probl. Sci. Eng. , vol.13 , pp. 411-431
    • Han, B.1    Fu, H.S.2    Li, Z.3
  • 15
    • 33845745432 scopus 로고    scopus 로고
    • A homotopy method for nonlinear inverse problems
    • Fu H.S., and Han B. A homotopy method for nonlinear inverse problems. Appl. Math. Comput. 183 (2006) 1270-1279
    • (2006) Appl. Math. Comput. , vol.183 , pp. 1270-1279
    • Fu, H.S.1    Han, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.