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Lubyshev Fedor Vladimirovich

Publications in Math-Net.Ru

  1. Approximation of optimal control problems for semilinear elliptic convection–diffusion equations with boundary observation of the conormal derivative and with controls in coefficients of the convective transport operator and in nonlinear term of the equation

    Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024),  1163–1182
  2. Mathematical models of joint calculation of electric and thermal fields in electrochemical systems (in electrolytes)

    Zhurnal SVMO, 25:3 (2023),  150–158
  3. On an iterative method for solving optimal control problems for an elliptic type system

    Zhurnal SVMO, 24:2 (2022),  162–174
  4. On a method for approximate solution of a mixed boundary value problem for an elliptic equation

    Zhurnal SVMO, 23:1 (2021),  58–71
  5. On an iterative process for the grid conjugation problem with iterations on the boundary of the solution discontinuity

    Zhurnal SVMO, 21:3 (2019),  329–342
  6. An approximation of problems of optimal control on the coefficients of elliptic convection-diffusion equations with an imperfect contact matching condition

    Zhurnal SVMO, 21:2 (2019),  187–214
  7. Approximation of a mixed boundary value problem

    Zhurnal SVMO, 20:4 (2018),  429–438
  8. On certain problems of optimal control and their approximations for some non-self-adjoint elliptic equations of the convection-diffusion type

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 143 (2017),  3–23
  9. Accuracy of difference schemes for nonlinear elliptic equations with non-restricted nonlinearity

    Zhurnal SVMO, 19:3 (2017),  41–52
  10. Consistent convergence rate estimates in the grid $W_{2,0}^2(\omega)$ norm for difference schemes approximating nonlinear elliptic equations with mixed derivatives and solutions from $W_{2,0}^m(\Omega)$, $3<m\leqslant4$

    Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017),  1444–1470
  11. Approximation of optimal control problems for semi-linear elliptic convection-diffusion equations with discontinuous coefficients and states, with controls involved in the coefficients of diffusion and convective transfer

    Zhurnal SVMO, 18:1 (2016),  54–69
  12. On Frechèt differentiability of cost functional in optimal control of coefficients of elliptic equations

    Ufimsk. Mat. Zh., 8:1 (2016),  84–101
  13. Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and states and with controls in the coefficients multiplying the highest derivatives

    Zh. Vychisl. Mat. Mat. Fiz., 56:7 (2016),  1267–1293
  14. Grid approximation of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions, with offices in the coefficients of the highest derivatives

    Zhurnal SVMO, 17:1 (2015),  89–104
  15. Some iterative processes of solution of elliptic equations with discontinuous coefficients and solutions with a design estimates of the rate of convergence of iterations

    Zhurnal SVMO, 16:1 (2014),  89–107
  16. Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions

    Ufimsk. Mat. Zh., 6:3 (2014),  72–87
  17. Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions and with control in matching boundary conditions

    Zh. Vychisl. Mat. Mat. Fiz., 54:11 (2014),  1767–1792
  18. Numerical method of one optimal control problem solution for semilinear elliptic equation with discontinuous coefficients and solution

    Zhurnal SVMO, 15:1 (2013),  77–89
  19. Difference approximations of optimization problems for semilinear elliptic equations in a convex domain with controls in the coefficients multiplying the highest derivatives

    Zh. Vychisl. Mat. Mat. Fiz., 53:1 (2013),  20–46
  20. Approximations of optimal controlling problems for semilinear elliptic equations with discontinuous coefficients and solutions

    Zhurnal SVMO, 14:1 (2012),  59–71
  21. Finite difference approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions

    Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1378–1399
  22. Iterative processes for states with discontinuous coefficients and solutions in optimal control of quasilinear equations

    Zhurnal SVMO, 13:2 (2011),  36–46
  23. Difference approximations of optimal controlling problems for quasi-linear elliptic equation with discontinuous coefficients and solutions

    Zhurnal SVMO, 13:1 (2011),  32–44
  24. Approximation and regularization of optimal controlling problem for not self-adjoint elliptic equation in arbitrary convex domain with controls involved in the coefficient of non-linear component and the second member of equation

    Zhurnal SVMO, 12:2 (2010),  67–76
  25. О разностной аппроксимации задачи оптимального управления для эллиптического уравнения в произвольной области

    Trudy SVMO, 11:1 (2009),  98–109
  26. On some optimal control problems for inhomogeneous anisotropic medium and their difference approximations

    Trudy SVMO, 10:2 (2008),  155–165
  27. On some optimal control problems and their finite difference approximations and regularization for quasilinear elliptic equations with controls in the coefficients

    Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007),  376–396
  28. Approximation and regularization of optimal control problems for systems described by one-sided boundary value problems for elliptic equations

    Zh. Vychisl. Mat. Mat. Fiz., 41:11 (2001),  1675–1696
  29. Approximation and regularization of optimal control problems for quasilinear elliptic equations

    Zh. Vychisl. Mat. Mat. Fiz., 41:8 (2001),  1148–1164
  30. Difference approximations and regularization of optimal control problems for parabolic equations with controls in the coefficients

    Zh. Vychisl. Mat. Mat. Fiz., 35:9 (1995),  1313–1333
  31. Approximation and regularization of problems of the optimal control of the coefficients of parabolic equations

    Zh. Vychisl. Mat. Mat. Fiz., 33:8 (1993),  1166–1183
  32. Approximation and regularization of optimal control problems for a non-selfadjoint elliptic equation with variable coefficients

    Zh. Vychisl. Mat. Mat. Fiz., 31:1 (1991),  17–30
  33. The accuracy of difference approximations and the regularization of optimal control problems for an elliptic equation with controls in the coefficients

    Zh. Vychisl. Mat. Mat. Fiz., 29:9 (1989),  1431–1433
  34. On the accuracy of difference approximations and the regularization of optimal control problems for solutions of elliptic equations

    Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987),  490–500
  35. Convergence of difference approximations and regularization of optimal control problems for elliptic equations

    Zh. Vychisl. Mat. Mat. Fiz., 25:7 (1985),  983–1000
  36. Über Differenzen-Differentialapproximationen mehrdimensionaler Probleme der optimalen Steuerung mit räumlich verteilten Parametern

    Differ. Uravn., 13:4 (1977),  711–717
  37. The convergence of the differential-difference method in the solution of certain boundary value problems for multidimensional nonstationary equations of mathematical physics, and its realization

    Differ. Uravn., 10:5 (1974),  926–932
  38. The direct and inverse boundary value problems for the heat equation

    Differ. Uravn., 8:11 (1972),  2023–2028
  39. The space-time version of the method of straight lines, and its realization

    Differ. Uravn., 8:10 (1972),  1868–1875

© Steklov Math. Inst. of RAS, 2025