1982
DOI: 10.1111/j.1365-246x.1982.tb04917.x
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Abstract: This paper deals with the further development of finite-difference methods for electromagnetic field modelling in two-and three-dimensional cases. The main feature of the approach suggested here is the application of generalized asymptotic boundary conditions valid with the accuracy o(l/pN), where p is the distance from the heterogeneities. The finite-difference approximation of problems under solution is made using the balance method, which results in 5-point difference schemes in the 2-D case and 7-point dif… Show more

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Cited by 46 publications
(22 citation statements)
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“…The FD method provides a simple but effective tool for numerically solving the EM forward modeling problem [Weaver and Brewitt-Taylor, 1978;Zhdanov et al, 1982;Zhdanov and Spichak, 1992;Weaver, 1994;Mackie et al, 1993Mackie et al, , 1994Newman and Alumbaugh, 1995;Smith, 1996;Zhdanov et al, 1997;Spichak, 1999;Haber et al, 2000]. One common technique of field discretization is based on a staggered-grid scheme [Yee, 1966;Wang and Hohmann, 1993;Wang and Fang, 2001;Davydycheva et al, 2003], which is effective in solving the coupled firstorder Maxwell's equations.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The FD method provides a simple but effective tool for numerically solving the EM forward modeling problem [Weaver and Brewitt-Taylor, 1978;Zhdanov et al, 1982;Zhdanov and Spichak, 1992;Weaver, 1994;Mackie et al, 1993Mackie et al, , 1994Newman and Alumbaugh, 1995;Smith, 1996;Zhdanov et al, 1997;Spichak, 1999;Haber et al, 2000]. One common technique of field discretization is based on a staggered-grid scheme [Yee, 1966;Wang and Hohmann, 1993;Wang and Fang, 2001;Davydycheva et al, 2003], which is effective in solving the coupled firstorder Maxwell's equations.…”
Section: Introductionmentioning
confidence: 99%
“…One common technique of field discretization is based on a staggered-grid scheme [Yee, 1966;Wang and Hohmann, 1993;Wang and Fang, 2001;Davydycheva et al, 2003], which is effective in solving the coupled firstorder Maxwell's equations. Another approach to the discretization of the EM field equations is based on the balance method [Zhdanov et al, 1982;Samarsky, 1984;Spichak, 1989, 1992;Zhdanov and Keller, 1994;Spichak, 1999;Mehanee and Zhdanov, 2001;Zhdanov, 2002;Mehanee, 2003]. This method involves integrating the original differential equations over each cell of the FD grid and discretizing the corresponding system of integral equations.…”
Section: Introductionmentioning
confidence: 99%
“…There are many papers on the fundamental equations for 2D modeling (e.g. Swift, et al, 1971;Zhdanov, et al, 1982;Wannamaker, et al, 1985) [9] [10] [11] so that they will not be re-counted here. The inversion process minimizes a regularized function as the trade-off between a structure penalty function and the data residual norm weighted with data variances (Rodi & Mackie, 2001) [2].…”
Section: Model Designmentioning
confidence: 99%
“…This algorithm is presented in Appendix A. The forward modeling is based on the same numerical implementation of the finite difference method as of Zhdanov et al [1982] and de Lugao et al [1997]. We use the reciprocity principle [Madden, 1972;Rodi, 1976;McGillivray and Oldenburg, 1990;de Lugao and Wannamaker, 1996;de Lugao et al, 1997] for Frechet derivative calculations.…”
Section: Regularized Solution Of a Discrete Mt Inverse Problemmentioning
confidence: 99%