Conservative modeling of 3-D electromagnetic fields, Part II: Biconjugate gradient solution and an accelerator

Geophysics

Volumn 61, Issue 5, 1996, Pages 1319-1324

  Smith, J Torquil ^a,b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b Lawrence Berkeley National Laboratory   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; ELECTRIC CONDUCTIVITY; ELECTROMAGNETIC FIELDS; FINITE DIFFERENCE METHOD; FREQUENCY DOMAIN ANALYSIS; MATHEMATICAL MODELS; PROBLEM SOLVING; THREE DIMENSIONAL;

BICONJUGATE GRADIENT METHOD; ELECTROMAGNETIC INDUCTION; PARTIAL CHOLESKY DECOMPOSITION; STAGGERED GRID FINITE DIFFERENCE APPROXIMATION; THREE DIMENSIONAL ELECTROMAGNETIC FIELDS; THREE DIMENSIONAL INDUCTION PROBLEM;

ELECTROMAGNETIC FIELD THEORY;

BICONJUGATE GRADIENT METHOD; ELECTROMAGNETIC FIELD; FINITE DIFFERENCE METHOD; STAGGERED GRID;

EID: 0030236002     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1444055     Document Type: Article

References (14)

1. Chen, P. F., and Fung, P. C. F., 1988, Frequency response of the transfer functions of the current channeling between two oceans: J. Geomag. Geoelectr., 40, 335-355.
2. Fletcher, R., 1976, Conjugate gradient methods for indefinite systems, in Watson, G. A., 1976, Numerical Methods Dundee 1975: Springer-Verlag, New York, 73-89.
3. Jacobs, D. A. H., 1981, The exploitation of sparsity by iterative methods, in Duff, I. S., Sparse matrices and their uses: Springer-Verlag, Berlin, 191-222.
4. Jones, F. W., and Pascoe, L. J., 1971, The perturbation of alternating geomagnetic fields by three-dimensional conductivity inhomogeneities: Geophys. J. Roy. Astr. Soc., 27, 479-485.
5. Kershaw, D. S., 1977, The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations: J. Comp. Phys., 26, 43-65.
6. Lanczos, C., 1952. Solution of systems of linear equations by minimized iterations: J. Res. Nat. Bur. Stand., 49, 33-53.
7. Mackie, R. L., 1991, Three-dimensional modeling and inversion with applications to the California Basin and Range province: Ph.D. dissertation. Massachusetts Institute of Technology.
8. Manteuffel, T. A., 1980, An incomplete factorization technique for positive definite linear systems: Mathm. Comp., 34, 473-497.
9. Meijerink, J. A., and van der Vorst, H. A., 1977, An iterative solution method for linear systems for which the coefficient matrix is an M-matrix: Mathm. Comp., 31, 148-162.
10. Muller, W., and Losecke, W., 1975, Accelerating convergence techniques and grid spacing problems in two-dimensional magnetotelluric modelling: Geophys. J. Roy. Astr. Soc. 41, 185-191.
11. Sarkar, T. K., 1987, On the application of the generalized biconjugate gradient method: J. Electrom. Waves and Appl., 1, 223-242.
12. Smith, J. T., 1995, Conservative modeling of 3-D electromagnetic fields, Part I: Properties and error analysis: Geophysics, 61, 000-000.
13. Smith, J. T., and Booker, J. R., 1990, 3-D forward modeling using sparse matrix methods: Tenth Workshop on Electromagnetic Induction in the Earth, IAGA Working Group I-2, Ensenada, Mexico.
14. Smith, C. F., Peterson, A. F., and Mittra, R., 1990, The biconjugate gradient method for electromagnetic scattering: IEEE Trans. Antennas Propagat., 38, 938-940.