On capacity computation for symmetric polygonal condensers

@article{Bezrodnykh2019OnCC,
  title={On capacity computation for symmetric polygonal condensers},
  author={S. I. Bezrodnykh and A. Bogatyrev and S. A. Goreinov and O. Grigor'ev and H. Hakula and M. Vuorinen},
  journal={J. Comput. Appl. Math.},
  year={2019},
  volume={361},
  pages={271-282}
}
  • S. I. Bezrodnykh, A. Bogatyrev, +3 authors M. Vuorinen
  • Published 2019
  • Mathematics, Computer Science
  • J. Comput. Appl. Math.
  • Making use of two different analytical-numerical methods for capacity computation, we obtain matching to a very high precision numerical values for capacities of a wide family of planar condensers. These two methods are based respectively on the use of the Lauricella function and Riemann theta functions. We apply these results to benchmark the performance of numerical algorithms, which are based on adaptive $hp$--finite element method and boundary integral method. 
    6 Citations
    Numerical computation of the capacity of generalized condensers
    • 1
    • PDF
    Computation of conformal invariants
    • 4
    • PDF
    Adaptive reference elements via harmonic extensions and associated inner modes
    • H. Hakula
    • Mathematics, Computer Science
    • Comput. Math. Appl.
    • 2020
    A Survey of Quasiregular Mappings

    References

    SHOWING 1-10 OF 123 REFERENCES