Dautov Rafail Zamilovich

Publications in Math-Net.Ru

1. Accuracy of an implicit scheme for the finite element method with a penalty for a nonlocal parabolic obstacle problem
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 2,  3–21
2. Theorems on direct and inverse approximation by algebraic polynomials and piecewise polynomials in the spaces $H^m(a, b)$ and $B^s_{2,q}(a, b)$
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 1,  14–34
3. A conservative fully discrete finite element scheme for the nonlinear Klein–Gordon equation
   
   Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 165:3 (2023),  190–207
4. A conservative finite element scheme for the Kirchhoff equation
   
   Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 165:2 (2023),  115–131
5. Direct and inverse theorems for the approximation of functions by algebraic polynomials and splines in the norms of the Sobolev space
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 6,  79–86
6. An efficient numerical method for determining trapped modes in acoustic waveguides
   
   Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 164:1 (2022),  68–84
7. On numerical methods for time-dependent eddy current problems for the Maxwell equations in inhomogeneous media
   
   Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160:3 (2018),  477–494
8. Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems
   
   Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014),  463–480
9. A sharp error estimate of the best approximation by algebraic polynomials in the weighted space $L_2(-1,1)$
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 5,  61–63
10. Mathematical Modeling of Dry Gas Dynamic Seals
    
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155:2 (2013),  158–166
11. Discontinuous mixed penalty-free Galerkin method for second-order quasilinear elliptic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:11 (2013),  1791–1803
12. Stability of the coincidence set of a solution to a parabolic variational inequality with an obstacle
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 3,  88–91
13. On the accuracy of the penalty method for parabolic variational inequalities with an obstacle inside the domain
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 2,  41–47
14. Revised quadratic subparametric triangular finite element of the second-order accuracy
    
    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 149:4 (2007),  132–145
15. Mixed variable technique for simulating unsaturated-saturated flows
    
    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 149:4 (2007),  58–72
16. Решение краевых задач, описываемых двумерными эллиптическими уравнениями второго порядка, методом интегрирующих матриц
    
    Matem. Mod. Kraev. Zadachi, 3 (2005),  218–221
17. A numerical method for finding dispersion curves and guided waves of optical waveguides
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:12 (2005),  2203–2218
18. On the method of integrating matrices for systems of ordinary differential equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 7,  18–26
19. On 3D dynamic control of secondary cooling in continuous casting process
    
    Lobachevskii J. Math., 13 (2003),  3–13
20. Solution of the vector problem of the natural waves of cylindrical dielectric waveguides based on a nonlocal boundary condition
    
    Zh. Vychisl. Mat. Mat. Fiz., 42:7 (2002),  1051–1066
21. Symmetries and cycles of the renormalization group in a fermionic hierarchical model
    
    TMF, 126:2 (2001),  238–246
22. Existence and properties of solutions to the spectral problem of the dielectric waveguide theory
    
    Zh. Vychisl. Mat. Mat. Fiz., 40:8 (2000),  1250–1263
23. On a spectral problem of the theory of dielectric waveguides
    
    Zh. Vychisl. Mat. Mat. Fiz., 39:8 (1999),  1348–1355
24. High accuracy post-processing technique for free boundaries in finite element approximations to the obstacle problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:2 (1998),  239–246
25. Investigation of the well-posedness of the generalized solution of the filtration consolidation problem
    
    Differ. Uravn., 33:4 (1997),  515–521
26. On the method of integrating matrices for the solution of boundary value problems for fourth-order ordinary equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 10,  13–25
27. A scheme of accuracy $O(h^2\ln^\alpha(1/h))$ for determining the free boundary in a problem with an obstacle inside the domain
    
    Differ. Uravn., 31:7 (1995),  1202–1210
28. On exact penalty operators for elliptic variational inequalities with an obstacle inside the domain
    
    Differ. Uravn., 31:6 (1995),  1008–1017
29. The finite element method scheme based on the multiplicative identification of singularities for boundary value problems in domains with corners
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 4,  29–39
30. A numerical method for solving the Dirichlet problem with nonlocal boundary conditions
    
    Zh. Vychisl. Mat. Mat. Fiz., 35:9 (1995),  1356–1373
31. A scheme of accuracy $O(h^2)$ for determining the free boundary for a one-dimensional problem with an obstacle
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 9,  39–48
32. Numerical modeling of the nonisothermic flow of nonlinear viscoelastic fluids
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 11,  9–16
33. Convergence of the Bubnov–Galerkin method with perturbations for symmetric spectral problems with nonlinear appearance of the parameter
    
    Differ. Uravn., 27:7 (1991),  1144–1153
34. A variant of the finite element method for elliptic equations in domains with periodic structure
    
    Differ. Uravn., 21:7 (1985),  1155–1164
35. Superconvergence of schemes of the finite element method with numerical integration for fourth-order quasilinear elliptic equations
    
    Differ. Uravn., 18:7 (1982),  1172–1181
36. Investigation of convergence in difference norms of schemes of the finite element method with numerical integration for fourth-order elliptic equations
    
    Differ. Uravn., 17:7 (1981),  1256–1269
37. Difference schemes for quasilinear elliptic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  334–349
38. Difference schemes of an arbitrary order of accuracy for quasilinear elliptic equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 10,  24–37