1887
PDF

Abstract

Summary

Three-dimensional modeling of magnetotelluric fields using the vector finite element method is carried out. We use the vector differential equation for the single vector-potential and the system of vector-scalar equations for the coupled vector and scalar potentials. We use the edge-based vector basis functions for the vector potential and nodal basis functions for the scalar potential. We use the COCR solver for the solution of the large sparse system of linear equations with Jacobi and folded preconditioner. The CPU and GPU implementations of the developed methods are compared. We test our methods on complex realistic problem of three-dimensional magnetotelluric sounding providing in Russian Far East. The conducted experiments show the advantage of GPU using.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201702258
2017-09-11
2024-04-23
Loading full text...

Full text loading...

/deliver/fulltext/2214-4609/2017/43847.html?itemId=/content/papers/10.3997/2214-4609.201702258&mimeType=html&fmt=ahah

References

  1. Grossman, M., Araya-Polo, M., Alpak, F. O., Frank, F., Limbeck, J. and Sarkar, V.
    [2016] Analysis of sparse matrix-vector multiply for large sparse linear systems. 15th European Conference on the Mathematics of Oil Recovery, ECMOR 2016.
    [Google Scholar]
  2. Gundogdu, N. Y., Demirci, I., Varilsüha, D., Candansayar, M. E. and Yilmaz, A. E.
    [2016] Acceleration of three-dimensional direct current resistivity modelling using GPU computing. 22nd European Meeting of Environmental and Engineering Geophysics, Near Surface Geoscience 2016.
    [Google Scholar]
  3. Loke, M. H., Wilkinson, P. B. and Chambers, J. C.
    [2013] Computation of optimized arrays for 3-D electrical imaging surveys. Near Surface Geoscience 2013.
    [Google Scholar]
  4. Mifune, T., Takahashi, Y. and Iwashita, T.
    [2009] Folded preconditioner: A new class of preconditioners for krylov subspace methods to solve redundancy-reduced linear systems of equations. IEEE Transactions on Magnetics45(5), 2068–2075.
    [Google Scholar]
  5. Persova, M. G., Soloveichik, Y. G., Trigubovich, G. M. and Tokareva, M. G.
    [2013] Methods and algorithms for reconstructing three-dimensional distributions of electric conductivity and polarization in the medium by finite-element 3D modeling using the data of electromagnetic sounding. Izvestiya, Physics of the Solid Earth49(3), 329–343.
    [Google Scholar]
  6. Sogabe, T. and Zhang, S. L.
    [2007] A COCR method for solving complex symmetric linear systems. Journal of Computational and Applied Mathematics199(2), 297–303.
    [Google Scholar]
  7. Sommer, M., Hölz, S., Moorkamp, M., Swidinsky, A., Heincke, B., Scholl, C. and Jegen, M.
    [2013] GPU parallelization of a three dimensional marine CSEM code. Computers and Geosciences58, 91–99.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201702258
Loading
/content/papers/10.3997/2214-4609.201702258
Loading

Data & Media loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error