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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki

Zh. Vychisl. Mat. Mat. Fiz., 2007, Volume 47, Number 1, Pages 129–139 (Mi zvmmf352)

Convergence of the Galerkin methods for equations with elliptic operators on subspaces and solving the electric field equation
Yu. G. Smirnov

This publication is cited in the following articles:
  1. A. A. Tsupak, “Electromagnetic Wave Scattering from Curvilinear Screens: Galerkin Method Convergence Proof”, Lobachevskii J Math, 44:9 (2023), 4092  crossref
  2. A. A. Tsupak, “Skhodimost metoda Galerkina v zadache difraktsii elektromagnitnoi volny na sisteme tel i neploskikh ekranov”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2023, no. 4, 14–25  mathnet  crossref
  3. A. S. Ilinskii, I. S. Polyanskii, D. E. Stepanov, “O skhodimosti baritsentricheskogo metoda v reshenii vnutrennikh zadach Dirikhle i Neimana v $ \mathbb{R}^2$ dlya uravneniya Gelmgoltsa”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 31:1 (2021), 3–18  mathnet  crossref
  4. Nenashev A.S., Setukha V A., Stepanishcheva V.S., “On the Patch Antennas Radiation Numerical Modeling With Boundary Integral Equation Method”, Lobachevskii J. Math., 42:6, SI (2021), 1370–1380  crossref  mathscinet  isi  scopus
  5. A. S. Il'inskiy, I. S. Polyansky, D. E. Stepanov, “Application of the Barycentric Method to Electromagnetic Wave Diffraction on Arbitrarily Shaped Screens”, Comput Math Model, 32:1 (2021), 7  crossref
  6. Setukha A., “Discrete Vortices and Their Generalizations For Scattering Problems”, Large-Scale Scientific Computing (Lssc 2019), Lecture Notes in Computer Science, 11958, eds. Lirkov I., Margenov S., Springer International Publishing Ag, 2020, 148–155  crossref  mathscinet  isi
  7. A. A. Tsupak, “Chislennyi metod i parallelnyi algoritm resheniya zadachi difraktsii elektromagnitnoi volny na neploskom idealno provodyaschem ekrane”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2020, no. 4, 32–41  mathnet  crossref
  8. Setukha A., Fetisov S., “The Method of Relocation of Boundary Condition For the Problem of Electromagnetic Wave Scattering By Perfectly Conducting Thin Objects”, J. Comput. Phys., 373 (2018), 631–647  crossref  mathscinet  isi  scopus
  9. Medvedik M.Yu. Smirnov Yu.G. Tsupak A.A. Valovik D.V., “Vector problem of electromagnetic wave diffraction by a system of inhomogeneous volume bodies, thin screens, and wire antennas”, J. Electromagn. Waves Appl., 30:8 (2016), 1086–1100  crossref  isi  elib  scopus
  10. M. Yu. Medvedik, Yu. G. Smirnov, “Ellipticity of the electric field integral equation for absorbing media and the convergence of the Rao–Wilton–Glisson method”, Comput. Math. Math. Phys., 54:1 (2014), 114–122  mathnet  crossref  crossref  isi  elib  elib
  11. Smirnov Yu.G. Tsupak A.A., “Method of Integral Equations in the Scalar Problem of Diffraction on a System Consisting of a “Soft” and a “Hard” Screen and An Inhomogeneous Body”, Differ. Equ., 50:9 (2014), 1150–1160  crossref  mathscinet  zmath  isi  elib  scopus
  12. M. A. Maksimova, M. Yu. Medvedik, Yu. G. Smirnov, A. A. Tsupak, “Chislennoe reshenie zadachi difraktsii elektromagnitnykh voln na sisteme tel i ekranov”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2014, no. 3, 114–133  mathnet
  13. M. Yu. Medvedik, Yu. G. Smirnov, A. A. Tsupak, “Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies”, Comput. Math. Math. Phys., 54:8 (2014), 1280–1292  mathnet  mathnet  crossref  crossref  isi  scopus
  14. M. Yu. Medvedik, “Calculating the surface currents in electromagnetic scattering by screens of complex geometry”, Comput. Math. Math. Phys., 53:4 (2013), 469–476  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  15. Medvedik M.Yu., “Primenenie funktsii kryshek dlya resheniya zadachi difraktsii elektromagnitnykh voln na ekranakh slozhnoi formy”, Izvestiya vysshikh uchebnykh zavedenii. povolzhskii region. fiziko-matematicheskie nauki, 2012, no. 3, 84–98  elib
  16. M. Yu. Medvedik, “Subierarkhicheskii metod resheniya zadachi difraktsii elektromagnitnykh voln na neploskikh ekranakh slozhnoi geometricheskoi formy s ispolzovaniem bazisnykh funktsii kryshek”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2012, no. 4, 12–20  mathnet
  17. Yu. G. Smirnov, M. Yu. Medvedik, M. A. Maksimova, “Reshenie zadachi difraktsii elektromagnitnoi volny na ekranakh slozhnoi formy”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2012, no. 4, 59–72  mathnet
  18. M. Yu. Medvedik, “Primenenie funktsii kryshek dlya resheniya zadachi difraktsii elektromagnitnykh voln na ekranakh slozhnoi formy”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2012, no. 3, 84–98  mathnet


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