| [1] | Ren Z Y, Kalscheuer T, Greenhalgh S, et al. 2014a. A hybrid boundary element-finite element approach to modeling plane wave 3D electromagnetic induction responses in the Earth. Journal of Computational Physics, 258:705-717.
|
| [2] | Ren Z Y, Kalscheuer T, Greenhalgh S, et al. 2014b. A finite-element-based domain-decomposition approach for plane wave 3D electromagnetic modeling. Geophysics, 79(6):E255-E268.
|
| [3] | Schenk O, Grtner K. 2004. Solving unsymmetric sparse systems of linear equations with PARDISO. Future Generation Computer Systems, 20(3):475-487.
|
| [4] | Schwarzbach C, Brner R U, Spitzer K. 2011. Three-dimensional adaptive higher order finite element simulation for geo-electromagnetics—a marine CSEM example. Geophysical Journal International, 187(1):63-74.
|
| [5] | Sommer M, Hlz S, Moorkamp M, et al. 2013. GPU parallelization of a three dimensional marine CSEM code. Computers & Geosciences, 58:91-99.
|
| [6] | Streich R. 2009. 3D finite-difference frequency-domain modeling of controlled-source electromagnetic data:Direct solution and optimization for high accuracy. Geophysics, 74(5):F95-F105.
|
| [7] | Sun X Y, Nie Z P, Zhao Y W, et al. 2008. The electromagnetic modeling of logging-while-drilling tool in tilted anisotropic formations using vector finite element method. Chinese Journal of Geophysics (in Chinese), 51(5):1600-1607, doi:10.3321/j.issn:0001-5733.2008.05.036.
|
| [8] | Um E S, Commer M, Newman G A. 2013. Efficient pre-conditioned iterative solution strategies for the electromagnetic diffusion in the Earth:finite-element frequency-domain approach. Geophysical Journal International, 193(3):1460-1473.
|
| [9] | Wang C Q. 2005. Advanced Computational Electromagnetics (in Chinese). Beijing:Peking University Press.
|
| [10] | Wang Y. 2008. A study of 3D high frequency magnetotellurics modeling by edge-based finite element method [Ph. D. thesis] (in Chinese). Changsha:Central South University.
|
| [11] | Wannamaker P E. 1991. Advances in three-dimensional magnetotelluric modeling using integral equations. Geophysics, 56(11):1716-1728.
|
| [12] | [JPWeiss C J, Constable S. 2006. Mapping thin resistors and hydrocarbons with marine EM methods, Part II—Modeling and analysis in 3D. Geophysics, 71(6):G321-G332.
|
| [13] | [JPWeiss C J. 2013. Project APhiD:A Lorenz-gauged A-Φ decomposition for parallelized computation of ultra-broadband electromagnetic induction in a fully heterogeneous Earth. Computers & Geosciences, 58:40-52.
|
| [14] | Xiong Z H. 1992. Electromagnetic modeling of 3-D structures by themethod of system iteration using integral equations. Geophysics, 57(12):1556-1561.
|
| [15] | Xu Z F, Wu X P. 2010. Controlled source electromagnetic 3-D modeling in frequency domain by finite element method. Chinese Journal Geophysics (in Chinese), 53(8):1931-1939, doi:10.3969/j.issn.0001-5733.2010.08.019.
|
| [16] | Yang B, Xu Y X, He Z X, et al. 2012. 3D frequency-domain modeling of marine controlled source electromagnetic responses with topography using finite volume method. Chinese Journal of Geophysics (in Chinese), 55(4):1390-1399, doi:10.6038/j.issn.0001-5733.2012.04.035.
|
| [17] | Yin C C, Piao H R. 1994. Three-dimensional electromagneticmodelling and its application in frequency-domain electromagnetic sounding methods. Acta Geophysica Sinica (in Chinese), 37(6):820-827.
|
| [18] | Yue J H, Yang H Y, Hu B. 2008. 3D finite difference time domain numerical simulation for TEM in-mine. Progress in Geophysics [LL] (in Chinese), 22(6):1904-1909, doi:10.3969/j.issn.1004-2903.2007.06.036.
|
| [19] | Zhang W, Zhang Z G, Chen X F. 2012. Three-dimensional elastic wave numerical modelling in the presence of surface topography by a collocated-grid finite-difference method on curvilinear grids. Geophysical Journal International, 190(1):358-378.
|
| [20] | Zhdanov M S, Lee S K, Yoshioka K. 2006. Integral equation method for 3D modeling of electromagnetic fields in complexstructures with inhomogeneous background conductivity. Geophysics, 71(6):G333-G345
|
| [21] | Avdeev D B, Kuvshinov A V, Pankratov O V, et al. 2002. Three-dimensional induction logging problems, Part I:An integral equation solution and model comparisons. Geophysics, 67(2):413-426.
|
| [22] | Avdeev D B. 2005. Three-dimensional electromagnetic modelling and inversion from theory to application. Surveys in Geophysics, 26(6):767-799.
|
| [23] | Avdeev D, Knizhnik S. 2009. 3D integral equation modeling with a linear dependence on dimensions. Geophysics, 74(5):F89-F94.
|
| [24] | Badea E A, Everett M E, Newman G A, et al. 2001. Finite-element analysis of controlled-source electromagnetic induction using Coulomb-gauged potentials. Geophysics, 66(3):786-799.
|
| [25] | Bangerth W, Hartmann R, Kanschat G. 2007. Deal. II—a general-purpose object-oriented finite element library. ACM Transactions on Mathematical Software (TOMS), 33(4):Article No. 24.
|
| [26] | Bangerth W, Kayser-Herold O. 2009. Data structures and requirements for hp finite element software. ACM Transactions on Mathematical Software (TOMS), 36(1):Article No. 4.
|
| [27] | Brner R U. 2010. Numerical modelling in geo-electromagnetics:advances and challenges. Surveys in Geophysics, 31(2):225-245.
|
| [28] | Bossavit A, Vérité J. 1983. The "TRIFOU" Code:Solving the 3-D eddy-currents problem by using H as state variable. IEEE Transactions on Magnetics, 19(6):2465-2470.
|
| [29] | Chen G B, Wang H N, Yao J J, et al. 2009. Modeling of electromagnetic responses of 3-D electrical anomalous body in a layered anisotropic earth using integral equations. Chinese Journal of Geophysics (in Chinese), 52(8):2174-2181, doi:10.3969/j.issn.0001-5733.2009.08.028.
|
| [30] | Constable S, Srnka L J. 2007. An introduction to marine controlled-source electromagnetic methods for hydrocarbon exploration. Geophysics, 72(2):WA3-WA12.
|
| [31] | da Silva N V, Morgan J V, MacGregor L, et al. 2012. A finite element multifrontal method for 3D CSEM modeling in the frequency domain. Geophysics, 77(2):E101-E115.
|
| [32] | Fu C M, Di Q Y, Wang M Y. 2009. 3D numeric simulation of marine controlled source electromagnetics (MCSEM). Oil Geophysical Prospecting (in Chinese), 44(3):358-363.
|
| [33] | Geuzaine C, Remacle J F. 2009. Gmsh:A 3-D finite element mesh generator with built-in pre-and post-processing facilities. International Journal for Numerical Methods in Engineering, 79(11):1309-1331.
|
| [34] | Grayver A V, Streich R, Ritter O. 2013. Three-dimensional parallel distributed inversion of CSEM data using a direct forward solver. Geophysical Journal International, 193(3):1432-1446.
|
| [35] | Grayver A V, Bürg M. 2014. Robust and scalable 3-D geo-electromagnetic modelling approach using the finite element method. Geophysical Journal International, 198(1):110-125.
|
| [36] | Haber E, Ascher U M. 2001. Fast finite volume simulation of 3D electromagnetic problems with highly discontinuous coefficients. SIAM Journal on Scientific Computing, 22(6):1943-1961.
|
| [37] | He Z X, Yu G. 2008. Marine EM survey technology and its new advances. Progress in Exploration Geophysics (in Chinese), 31(1):2-9.
|
| [38] | Hesthammer J, Stefatos A, Boulaenko M, et al. 2010. CSEM performance in light of well results. The Leading Edge, 29(1):34-41.
|
| [39] | Hohmann G W. 1975. Three-dimensional induced polarization and electromagnetic modeling. Geophysics, 40(2):309-324.
|
| [40] | Jin J M. 2002. The Finite Element Method in Electromagnetics. 2nd ed. New York:Wiley-IEEE Press.
|
| [41] | Koldan J, Puzyrev V, de la Puente J, et al. 2014. Algebraic multigrid preconditioning within parallel finite-element solvers for 3-D electromagnetic modelling problems in geophysics. Geophysical Journal International, 197(3):1442-1458.
|
| [42] | Li H, Zhang W, Zhang Z G, et al. 2015. Elastic wave finite-difference simulation using discontinuous curvilinear grid with non-uniform time step:two-dimensional case. Geophysical Journal International, 202(1):102-118.
|
| [43] | Li J H, Zhu Z Q, Liu S C, et al. 2011. 3D numerical simulation for the transient electromagnetic field excited by the central loopbased on the vector finite-element method. Journal of Geophysics and Engineering, 8(4):560-567.
|
| [44] | Li Y G, Key K. 2007. 2D marine controlled-source electromagnetic modeling:Part 1—An adaptive finite-element algorithm. Geophysics, 72(2):WA51-WA62.
|
| [45] | Li Y, Wu X P, Lin P R. 2015. Three-dimensional controlled source electromagnetic finite element simulation using the secondary field for continuous variation of electrical conductivity within each block. Chinese Journal of Geophysics (in Chinese), 58(3):1072-1087, doi:10.6038/cjg20150331.
|
| [46] | Liu C S, Tang J T, Ren Z Y, et al. 2010. Three-dimension magnetotellurics modeling by adaptive edge finite-element using unstructured meshes. Journal of Central South University (Science and Technology) (in Chinese), 41(5):1855-1859.
|
| [47] | Maa F A. 2007. Fast finite-difference time-domain modeling for marine-subsurface electromagnetic problems. Geophysics, 72(2):A19-A23.
|
| [48] | McMahon J. 1952. Lower bounds for the electrostatic capacity of a cube. Proceedings of the Royal Irish Academy. Section A:Mathematical and Physical Sciences, 55:133-167.
|
| [49] | Mukherjee S, Everett M E. 2011. 3D controlled-source electromagnetic edge-based finite element modeling of conductive and permeable heterogeneities. Geophysics, 76(4):F215-F226.
|
| [50] | Nédélec J C. 1980. Mixed finite elements in [WTHT]R[WTBZ]3. Numerische Mathematik, 35(3):315-341.
|
| [51] | Newman G A, Alumbaugh D L. 1995. Frequency-domain modelling of airborne electromagnetic responses using staggered finite differences. Geophysical Prospecting, 43(8):1021-1042.
|
| [52] | Pridmore D F, Hohmann G W, Ward S H, et al. 1981. An investigation of finite-element modeling for electrical and electromagnetic data in three dimensions. Geophysics, 46(7):1009-1024.
|
| [53] | Puzyrev V, Koldan J, de la Puente J, et al. 2013. A parallel finite-element method for three-dimensional controlled-source electromagnetic forward modelling. Geophysical Journal International, 193(2):678-693.
|
| [54] | Ren Z Y, Kalscheuer T, Greenhalgh S, et al. 2013a. Boundary element solutions for broad-band 3-D geo-electromagnetic problems accelerated by an adaptive multilevel fast multipole method. Geophysical Journal International, 192(2):473-499.
|
| [55] | Ren Z Y, Kalscheuer T, Greenhalgh S, et al. 2013b. A goal-oriented adaptive finite-element approach for plane wave 3-D electromagnetic modelling. Geophysical Journal International, 194(2):700-718.
|
