The Use of Vector Finite Element Method for Solving the Problems of Three-Dimensional Induction Logging

References

1. Chung, Y., Son, J.S., Lee, T.J., Kim, H.J. & Shin, C.
   [2014] Three dimensional modelling of controlled-source electromagnetic surveys using an edge finite-element method with a direct solver, Geophys. Prospect., 62, 1468–1483.
   [Google Scholar]
2. Grayver, A. V. and Bürg, M.
   [2014] Robust and scalable 3-D geo-electromagnetic modelling approach using the finite element method. Geophysical Journal International198(1), 110–125.
   [Google Scholar]
3. Monk, P.
   [2003] Finite element methods for Maxwell’s equations. Oxford University Press.
   [Google Scholar]
4. Saad, Y., Schultz, M.
   [1986] GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Comput., 7, 856–869.
   [Google Scholar]
5. Schenk, O., Gartner, K.
   [2004] Solving Unsymmetric Sparse Systems of Linear Equations with PARDISO. Journal of Future Generation Computer Systems, 20(3), 475–487.
   [Google Scholar]
6. SogabeT., Zhang, S.-L.
   [2007] A COCR method for solving complex symmetric linear systems. Journal of Computational and Applied Mathematics, 199, 297–303.
   [Google Scholar]
7. Soloveichik, Y. G., Persova, M. G., Domnikov, P. A., Koshkina, Y. I. and Vagin, D. V.
   [2018] Finite-element solution to multidimensional multisource electromagnetic problems in the frequency domain using non-conforming meshes. Geophysical Journal International, 212(3), 2159–2193.
   [Google Scholar]
8. Soloveichik, Y.G., Royak, M.E., Moiseev, V.S. & Vasilev, A.V.
   [1997] Finite element modeling of 3D electric fields in electrical prospecting, Fiz.Zemli, 9, 67–71.
   [Google Scholar]
9. Van der Vorst, H.A., Melissen, J.B.M.
   [1990] A Petrov-Galerkin type method for solving Ax=b, where A is symmetric complex, IEEE Transaction on Magnetics, 26(2), 706–708.
   [Google Scholar]
10. Zhou, L., Walker, H.
    [1994] Residual smoothing techniques for iterative methods. SIAM J. Sci. Computing, 15(2), 297–312.
    [Google Scholar]