Korneev Vadim Glebovich

Publications in Math-Net.Ru

1. A posteriori error majorants for numerical solutions of plate bending problems on a Winkler basis
   
   Sib. Zh. Vychisl. Mat., 26:1 (2023),  43–55
2. A note on a posteriori error bounds for numerical solutions of elliptic equations with a piecewise constant reaction coefficient having large jumps
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:11 (2020),  1815–1822
3. On error control in the numerical solution of reaction–diffusion equation
   
   Zh. Vychisl. Mat. Mat. Fiz., 59:1 (2019),  3–20
4. On domain decomposition preconditioner of BPS type for finite element discretizations of 3D elliptic equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 52:9 (2012),  1655
5. Simple algorithms for calculation of the classical a posteriori error estimates of numerical solutions of elliptic equations
   
   Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 153:4 (2011),  11–27
6. Third pillar of scientific discovery: scientific supercomputations
   
   Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 149:4 (2007),  6–32
7. Spectral discretizations of 3-d elliptic problems and fast domain decomposition methods
   
   Zh. Vychisl. Mat. Mat. Fiz., 47:10 (2007),  1727–1745
8. Exactly equilibrated fields, can they be efficiently used for a posteriori error estimation?
   
   Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 148:4 (2006),  94–143
9. Numerical testing of a decomposition method for the $p$-version of the finite element method
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 1,  10–24
10. Local Dirichlet problems on subdomains of decomposition in $HP$-discretizations, and optimal algorithms for their solution
    
    Mat. Model., 14:5 (2002),  51–74
11. $hp$-version additive Schwarz algorithms on triangular meshes
    
    Mat. Model., 14:2 (2002),  61–94
12. An Almost Optimal Method for Dirichlet Problems on Decomposition Subdomains of the Hierarchical hp-Version
    
    Differ. Uravn., 37:7 (2001),  959–968
13. Two-level methods, based on aggregation, for solving three-dimensional problems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 11,  42–61
14. Efficient pre-conditioning by the domain decomposition method for the $p$-version with a hierarchical basis. II
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 11,  24–40
15. Efficient preconditioning by the domain decomposition method for the $p$-version with a hierarchical basis. I
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 5,  37–56
16. Preconditioning in the domain decomposition methods for the $p$-version with the hierarchical bases
    
    Mat. Model., 8:9 (1996),  63–73
17. A fast solver for the clamped plate problem in a rectangle based on a boundary potentials method
    
    Zh. Vychisl. Mat. Mat. Fiz., 36:7 (1996),  174–190
18. Choice of high order coordinate functions and preconditioning in frames of the method of domain decomposition
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 4,  62–81
19. A preconditioner of a finite-element matrix for a fourth-order elliptic equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 33:3 (1993),  364–379
20. The problem of the thermal emission of a shell taking internal reflection into account
    
    Zh. Vychisl. Mat. Mat. Fiz., 31:1 (1991),  132–142
21. Schemes for solving elliptic differential equations of order $2n$, $n\ge 2$, with incompatible curvilinear finite elements near the boundary
    
    Zh. Vychisl. Mat. Mat. Fiz., 29:4 (1989),  483–496
22. Estimates of constants in inequalities for basis elements
    
    Zh. Vychisl. Mat. Mat. Fiz., 28:9 (1988),  1425–1431
23. Curvilinear finite elements of the class $C_1$ with singular coordinate functions
    
    Differ. Uravn., 22:12 (1986),  2144–2157
24. Regularity of solutions of problems of the theory of plastic flow
    
    Differ. Uravn., 20:4 (1984),  667–676
25. Superconvergence of solutions of the finite-element method in mesh norms
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:5 (1982),  1133–1148
26. Exact difference schemes
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  646–654
27. Numerical solution in terms of stress of problems in the theory of shells using an oblique-angled grid
    
    Zh. Vychisl. Mat. Mat. Fiz., 21:2 (1981),  441–451
28. Solution by the finite element method of problems of the theory of plastic flow for earth structures
    
    Differ. Uravn., 16:4 (1980),  705–722
29. Approximate solution of the theory of plastic flow for media subject to Coulomb's yield criterion
    
    Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  433–450
30. High-order schemes of the finite elements method for second-order elliptic equations in three-dimensional domains. II
    
    Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979),  1141–1148
31. Schemes of the finite element method of high orders of accuracy for second-order elliptic equations in three-dimensional regions — I
    
    Zh. Vychisl. Mat. Mat. Fiz., 19:4 (1979),  937–949
32. Mesh operators energy-wise equivalent to operators generated by piecewise hermitian extensions
    
    Zh. Vychisl. Mat. Mat. Fiz., 19:2 (1979),  402–416
33. Iterative methods for the solution of the systems of equations of the finite element method
    
    Zh. Vychisl. Mat. Mat. Fiz., 17:5 (1977),  1213–1233
34. Solution of the plastic flow theory problem by the finite element method
    
    Zh. Vychisl. Mat. Mat. Fiz., 17:2 (1977),  437–452
35. Theorem on the positive definiteness of a differential operator in the theory of thin nonsloping shells
    
    Dokl. Akad. Nauk SSSR, 218:6 (1974),  1291–1293


36. Letter to the Editorial Board
    
    Differ. Uravn., 39:2 (2003),  284
37. Foreword
    
    Mat. Model., 8:9 (1996),  2