[1] |
TIKHONOV A N. On the stability of inverse problems[J]. Proceedings of the USSR Academy of Sciences 1943, 39:195-198.
|
[2] |
TIKHONOV A N, ARSENIN V Y. Solutions of ill-posed problems[J]. Mathematics of Computation, 1977, 32:491-491.
|
[3] |
BAKUSHINSKII A B. The problem of the convergence of the iteratively regularized Gauss-Newton method[J]. Computational Mathematics and Mathematical Physics, 1992, 32:1353-1359.
|
[4] |
BLASCHKE B, NEUBAUER A, SCHERZER O. On Convergence Rates for the Iteratively Regularized Gauss-Newton-Method[J]. IMA Journal of Numerical Analysis, 1997, 17(3):421-436.
DOI
URL
|
[5] |
JIN Q N. On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems[J]. Mathematics of Computation, 2000, 69:1603-1623.
DOI
URL
|
[6] |
VAN DEN BERG P M, BROEKHOVEN A L V, ABUBAKAR A. Extended contrast source inversion[J]. Inverse Problems, 1999, 15(5):1325-1344.
DOI
URL
|
[7] |
VAN DEN BERG P M, ABUBAKAR A. Contrast source inversion method: state of art[J]. Journal of Electromagnetic Waves & Applications, 2001, 15(11):1503-1505.
|
[8] |
VAN DEN BERG P M, ABUBAKAR A, FOKKEMA J.T. Multiplicative regularization for contrast profile inversion[J]. Radio Science, 2003, 38(2): VIC23.
|
[9] |
RUDIN L I, OSHER S, FATEMI E. Nonlinear total variation based noise removal algorithms[J]. Physica D Nonlinear Phenomena, 1992, 60(1/4):259-268.
DOI
URL
|
[10] |
CHAMBOLLE A. An algorithm for total variation minimization and applications[J]. Journal of Mathematical Imaging & Vision, 2004, 20(1/2):89-97.
|
[11] |
GRIP N, SABOUROVA N, TU Y. Sensitivity-based model updating for structural damage identification using total variation regularization[J]. Mechanical Systems and Signal Processing, 2017, 84:365-383.
DOI
URL
|
[12] |
DOICU A, SCHREIER F, HILGERS S, et al. An efficient inversion algorithm for atmospheric remote sensing with application to UV limb observations[J]. Journal of Quantitative Spectroscopy & Radiative Transfer, 2007, 103(1):193-208.
|
[13] |
ROBERT S, MARTIN B, THORSTEN H. The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy[J]. Inverse Problems, 2012, 28(1):1-5.
|
[14] |
ENTEZAMI A, SHARIATMADAR H, SARMADI H. Structural damage detection by a new iterative regularization method and an improved sensitivity function[J]. Journal of Sound & Vibration, 2017, 399:285-307.
|
[15] |
DINGY, LAW S S. Structural damping identification based on an iterative regularization method[J]. Journal of Sound and Vibration, 2011, 330(10):2281-2298.
DOI
URL
|
[16] |
WANG L J, CAO H P, XIE Y X. An improved iterative tikhonov regularization method for solving the dynamic load identification problem[J]. International Journal for Computational Methods in Engineering Science and Mech, 2015, 16(5):292-300.
DOI
URL
|
[17] |
ABUBAKAR A, VAN DEN BERG P M, MALLORQUI JJ. Imaging of biomedical data using a multiplicative regularized contrast source inversion method[J]. IEEE Trans Microwave Theory and Techniques, 2002, 50(7):1761-1771.
DOI
URL
|
[18] |
ABUBAKAR A, VAN DEN BERG P M, HABASHY T M, et al. A multiplicative regularization approach for deblurring problems[J]. IEEE Trans Image Process, 2004, 13(11):1524-1532.
DOI
URL
|
[19] |
HACINI M, HACHOUF F, DJEMAL K. A new speckle filtering method for ultrasound images based on a weighted multiplicative total variation[J]. Signal Processing, 2014, 103:214-229.
DOI
URL
|
[20] |
BROWN T, JEFFREY I, MOJABI P. Multiplicatively regularized source reconstruction method for phaseless planar near-field antenna measurements[J]. IEEE Trans Antennas and Propagation, 2017, 65:2020-2031.
DOI
URL
|
[21] |
HABASHY T M, ABUBAKAR A. A general framework for constraint minimization for the inversion of electromagnetic measurements[J]. Progress in Electromagnetics Research, 2004, 46:265-312.
DOI
URL
|
[22] |
ZASLAVSKY M, DRUSKIN V, LIU J, et al. A Three-dimensional multiplicative-regularized non-linear inversion algorithm for cross-well electromagnetic and controlled-source electromagnetic applications[J]. SEG Technical Program Expanded Abstracts, 2008, 27:584-588.
|
[23] |
ABUBAKAR A, HABASHY T M, LI M, et al. Inversion algorithms for large-scale geophysical electromagnetic measurements[J]. Inverse Problems, 2009, 25(12):1541-1548.
|
[24] |
ALPAK F O, HABASHY T M, ABUBAKAR A, et al. A multiplicative regularized Gauss-Newton algorithm and its application to the joint inversion of induction logging and near-borehole pressure measurements[J]. Progress In electromagnetics Research B, 2011, 29(29):105-138.
DOI
URL
|
[25] |
徐世浙. 地球物理中的有限单元法[M]. 北京: 科学出版社, 1994.
|
[26] |
刘洋. 基于非结构网格的电阻率三维正反演及其应用研究[D]. 合肥: 中国科学技术大学, 2016.
|
[27] |
梁鹏. 电阻率法三维各向异性正演与主轴各向异性反演研究[D]. 北京: 中国地质大学(北京), 2018.
|
[28] |
ZHANG Y, KEY K. Parallel goal-oriented adaptive finite element modeling for 3D electromagnetic exploration[M]//SEG.SEG Technical Program Expanded Abstracts 2015, AGU Fall Meeting Abstracts. Washington:AGU, 2015:806-811.
|
[29] |
KEY K. MARE2DEM: a 2-D inversion code for controlled-source electromagnetic and magnetotelluric data[J]. Geophysical Journal International, 2016, 207:571-588.
DOI
URL
|
[30] |
王堃鹏. 张量CSAMT三维主轴各向异性正反演研究[D]. 北京: 中国地质大学(北京), 2017.
|