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Russian Mathematical Surveys, 1975, Volume 30, Issue 3, Pages 107–127
DOI: https://doi.org/10.1070/RM1975v030n03ABEH001413
(Mi rm4119)
 

This article is cited in 21 scientific papers (total in 21 papers)

Asymptotic behaviour of the electric field and density of the electric charge in the neighbourhood of singular points of a conducting surface

G. Fichera
References:
Received: 31.01.1975
Bibliographic databases:
Document Type: Article
UDC: 517.9+537.212+537.24
MSC: 78A30, 78M35, 65Nxx
Language: English
Original paper language: Russian
Citation: G. Fichera, “Asymptotic behaviour of the electric field and density of the electric charge in the neighbourhood of singular points of a conducting surface”, Russian Math. Surveys, 30:3 (1975), 107–127
Citation in format AMSBIB
\Bibitem{Fic75}
\by G.~Fichera
\paper Asymptotic behaviour of the electric field and density of the electric charge in the neighbourhood of singular points of a~conducting surface
\jour Russian Math. Surveys
\yr 1975
\vol 30
\issue 3
\pages 107--127
\mathnet{http://mi.mathnet.ru/eng/rm4119}
\crossref{https://doi.org/10.1070/RM1975v030n03ABEH001413}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=388978}
\zmath{https://zbmath.org/?q=an:0343.31007|0328.31008}
Linking options:
  • https://www.mathnet.ru/eng/rm4119
  • https://doi.org/10.1070/RM1975v030n03ABEH001413
  • https://www.mathnet.ru/eng/rm/v30/i3/p105
  • This publication is cited in the following 21 articles:
    1. S. I. Bezrodnykh, V. I. Vlasov, S. L. Skorokhodov, “Analytical-numerical method for some elliptic boundary value problems with discontinuous coefficient in domains with polyhedral corners”, Math. Notes, 116:6 (2024), 1204–1217  mathnet  mathnet  crossref
    2. S. A. Nazarov, “Spectral gaps in a thin-walled infinite rectangular Dirichlet box with a periodic family of cross walls”, Sb. Math., 214:7 (2023), 982–1023  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. Daniele Antonio Di Pietro, Roberta Tittarelli, SEMA SIMAI Springer Series, 15, Numerical Methods for PDEs, 2018, 75  crossref
    4. Daniele A. Di Pietro, Ruben Specogna, “An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics”, Journal of Computational Physics, 326 (2016), 35  crossref
    5. David McA. McKirdy, David T. Wilton, Hazel A. Shute, “Estimation of Fichera-Type Eigenvalues Using Standard Functions”, IEEE Trans Magn, 45:8 (2009), 3046  crossref  isi
    6. Dmitry Greenfield, Mikhail Monastyrskiy, Advances in Imaging and Electron Physics, 155, Selected Problems of Computational Charged Particle Optics, 2009, 333  crossref
    7. Arnd Meyer, Cornelia Pester, “The Laplace and the linear elasticity problems near polyhedral corners and associated eigenvalue problems”, Math Meth Appl Sci, 30:7 (2007), 751  crossref  mathscinet  zmath  isi  elib
    8. E. T. Ong, K. M. Lim, H. P. Lee, MEMS/NEMS, 2006, 235  crossref
    9. E.T. Ong, K.M. Lim, “Three-dimensional singular boundary elements for corner and edge singularities in potential problems”, Engineering Analysis with Boundary Elements, 29:2 (2005), 175  crossref
    10. Apel T., Pester C., “Clement-Type Interpolation on Spherical Domains - Interpolation Error Estimates and Application to a Posteriori Error Estimation”, IMA J. Numer. Anal., 25:2 (2005), 310–336  crossref  isi
    11. F.H. Read, “Capacitances and singularities of the unit triangle, square, tetrahedron and cube”, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 23:2 (2004), 572  crossref
    12. D. Greenfield, M. Monastyrski, “Three-dimensional electrostatic field calculation with effective algorithm of surface charge singularities treatment based on the Fichera's theorem”, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 519:1-2 (2004), 82  crossref
    13. Y Su, E T Ong, K H Lee, “Automatic classification of singular elements for the electrostatic analysis of microelectromechanical systems”, J Micromech Microeng, 12:3 (2002), 307  crossref  mathscinet  isi  elib
    14. Thomas Apel, Anna-Margarete Sändig, John R. Whiteman, “Graded Mesh Refinement and Error Estimates for Finite Element Solutions of Elliptic Boundary Value Problems in Non-smooth Domains”, Math Meth Appl Sci, 19:1 (1996), 63  crossref  mathscinet  zmath  isi
    15. Thomas Apel, Anna-Margarete Sändig, John R. Whiteman, “Graded Mesh Refinement and Error Estimates for Finite Element Solutions of Elliptic Boundary Value Problems in Non-smooth Domains”, Math. Meth. Appl. Sci., 19:1 (1996), 63  crossref
    16. Y. S. Abdel-Messieh, R. W. Thatcher, “Estimating the form of some three-dimensional singularities”, Commun Appl Numer Methods, 6:5 (1990), 333  crossref  mathscinet  zmath  isi
    17. Karl Steger, Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices, 1990, 283  crossref
    18. A. E. Beagles, J. R. Whiteman, W. Wendland, “General conical singularities in three-dimensional Poisson problems”, Math Meth Appl Sci, 11:2 (1989), 215  crossref  mathscinet  zmath  isi
    19. A. E. Beagles, J. R. Whiteman, Lecture Notes in Mathematics, 1121, Singularities and Constructive Methods for Their Treatment, 1985, 19  crossref
    20. J. R. Whiteman, Lecture Notes in Mathematics, 1066, Numerical Analysis, 1984, 264  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    References:60
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