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Korneev, Vadim Glebovich
Statistics Math-Net.Ru
Total publications: 37
Scientific articles: 35

Number of views:
This page:1404
Abstract pages:8118
Full texts:3411
References:767
Professor
Doctor of physico-mathematical sciences (1978)
Speciality: 01.01.07 (Computing mathematics)
Birth date: 24.12.1937
E-mail:
Website: https://psoif.cef.spbstu.ru/people.html
Keywords: Fast mesh methods for partial differential equations, finite element method, domain decomposition method, hp-version, superconvergence, multilevel iterative methods, aposteriory error estimates.
UDC: 001.891, 51, 517.929, 519.6, 519.63, 519.652, 519.632, 519.3, 517.949, 539.3
MSC: 65F10, 65N22, 65N30, 65N55

Subject:

numerical methods for solving partial differential equations, finite element method, mechanics of solid bodies.
   
Main publications:
  1. V.G. Korneev, Skhemy metoda konechnykh elementov vysokikh poryadkov tochnosti, Izd-vo Leningradskogo gos. universiteta, L., 1977
  2. V. Korneev and U. Langer, Approximate solution of theory of plastic flow theory problems., Teubner-Texte fur Mathematik, 69, BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1984
  3. V. Korneev and U. Langer, “Domain Decomposition Methods and Precon-ditioning”, Encyclopedia of Computational Mechanics, 1 (2004), 617–647, John Wiley & Sons, Ltd
  4. V.G. Korneev, I.E. Anufriev, V.S. Kostylev, “Exactly equilibrated fields, can they be efficiently used for a posteriori error estimation?”, Uchenye zapiski Kazanskogo gos. universiteta. Seriya fiziko-matematicheskie nauki, 148:4 (2006), 94–143
  5. V. Korneev, A. Rytov, “Diskretizatsii trekhmernykh ellipticheskikh kraevykh zadach spektralnymi elementami i metody dekompozitsii oblasti”, Zhurnal vychislitelnoi matematiki i matem. fiziki, 47:10 (2007), 1754–1772

https://www.mathnet.ru/eng/person31861
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/195473
https://elibrary.ru/author_items.asp?spin=5900-5561

Publications in Math-Net.Ru Citations
2023
1. V. G. Korneev, “A posteriori error majorants for numerical solutions of plate bending problems on a Winkler basis”, Sib. Zh. Vychisl. Mat., 26:1 (2023),  43–55  mathnet
2020
2. V. G. Korneev, “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  mathnet  elib; Comput. Math. Math. Phys., 60:11 (2020), 1754–1760  isi  scopus 3
2019
3. V. G. Korneev, “On error control in the numerical solution of reaction–diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 59:1 (2019),  3–20  mathnet  elib; Comput. Math. Math. Phys., 59:1 (2019), 1–18  isi  scopus 3
2012
4. V. G. Korneev, “On domain decomposition preconditioner of BPS type for finite element discretizations of 3D elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 52:9 (2012),  1655  mathnet  elib; Comput. Math. Math. Phys., 52:9 (2012), 1260–1294  isi  elib  scopus 1
2011
5. V. G. Korneev, “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  mathnet 3
2007
6. Yu. S. Vasil'ev, V. G. Korneev, “Third pillar of scientific discovery: scientific supercomputations”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 149:4 (2007),  6–32  mathnet
7. V. Korneev, A. Rytov, “Spectral discretizations of 3-d elliptic problems and fast domain decomposition methods”, Zh. Vychisl. Mat. Mat. Fiz., 47:10 (2007),  1727–1745  mathnet  mathscinet; Comput. Math. Math. Phys., 47:10 (2007), 1656–1674  scopus 2
2006
8. I. E. Anufriev, V. G. Korneev, V. S. Kostylev, “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  mathnet  zmath 3
2005
9. I. E. Anufriev, V. G. Korneev, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 49:1 (2005), 7–20 1
2002
10. V. G. Korneev, “Local Dirichlet problems on subdomains of decomposition in $HP$-discretizations, and optimal algorithms for their solution”, Matem. Mod., 14:5 (2002),  51–74  mathnet  mathscinet  zmath 3
11. V. G. Korneev, J. E. Flaherty, T. Oden, J. Fish, “$hp$-version additive Schwarz algorithms on triangular meshes”, Matem. Mod., 14:2 (2002),  61–94  mathnet  mathscinet  zmath 4
2001
12. V. G. Korneev, “An Almost Optimal Method for Dirichlet Problems on Decomposition Subdomains of the Hierarchical hp-Version”, Differ. Uravn., 37:7 (2001),  959–968  mathnet  mathscinet; Differ. Equ., 37:7 (2001), 1008–1018 6
2000
13. V. G. Korneev, Ya. Fish, “Two-level methods, based on aggregation, for solving three-dimensional problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 11,  42–61  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 44:11 (2000), 39–57 3
1999
14. V. G. Korneev, S. Ensen, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 43:11 (1999), 22–37 3
15. V. G. Korneev, S. Ensen, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 43:5 (1999), 35–52 5
1996
16. V. G. Korneev, S. A. Ivanov, “Preconditioning in the domain decomposition methods for the $p$-version with the hierarchical bases”, Matem. Mod., 8:9 (1996),  63–73  mathnet  mathscinet  zmath 5
17. D. Bahlmann, V. G. Korneev, “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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:7 (1996), 969–982  isi
1995
18. S. A. Ivanov, V. G. Korneev, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 39:4 (1995), 58–76 6
1993
19. B. Weber, V. G. Korneev, “A preconditioner of a finite-element matrix for a fourth-order elliptic equation”, Zh. Vychisl. Mat. Mat. Fiz., 33:3 (1993),  364–379  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:3 (1993), 329–341  isi
1991
20. S. A. Ivanov, V. G. Korneev, “The problem of the thermal emission of a shell taking internal reflection into account”, Zh. Vychisl. Mat. Mat. Fiz., 31:1 (1991),  132–142  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 31:1 (1991), 92–100  isi
1989
21. V. G. Korneev, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:2 (1989), 102–111
1988
22. S. A. Ivanov, V. G. Korneev, Ĭ. Lang, “Estimates of constants in inequalities for basis elements”, Zh. Vychisl. Mat. Mat. Fiz., 28:9 (1988),  1425–1431  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:5 (1988), 97–101
1986
23. V. G. Korneev, K. A. Khusanov, “Curvilinear finite elements of the class $C_1$ with singular coordinate functions”, Differ. Uravn., 22:12 (1986),  2144–2157  mathnet  mathscinet 2
1984
24. V. G. Korneev, U. Langer, “Regularity of solutions of problems of the theory of plastic flow”, Differ. Uravn., 20:4 (1984),  667–676  mathnet  mathscinet
1982
25. V. G. Korneev, “Superconvergence of solutions of the finite-element method in mesh norms”, Zh. Vychisl. Mat. Mat. Fiz., 22:5 (1982),  1133–1148  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:5 (1982), 115–131 1
26. V. G. Korneev, “Exact difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  646–654  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:3 (1982), 155–164 4
1981
27. V. G. Korneev, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 21:2 (1981), 184–194 3
1980
28. V. G. Korneev, “Solution by the finite element method of problems of the theory of plastic flow for earth structures”, Differ. Uravn., 16:4 (1980),  705–722  mathnet  mathscinet  zmath
29. V. G. Korneev, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:2 (1980), 165–181 1
1979
30. V. G. Korneev, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:5 (1979), 54–61
31. V. G. Korneev, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:4 (1979), 149–162 1
32. V. G. Korneev, “Mesh operators energy-wise equivalent to operators generated by piecewise hermitian extensions”, Zh. Vychisl. Mat. Mat. Fiz., 19:2 (1979),  402–416  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:2 (1979), 134–149 2
1977
33. V. G. Korneev, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 17:5 (1977), 109–129 6
34. V. G. Korneev, S. E. Ponomarev, “Solution of the plastic flow theory problem by the finite element method”, Zh. Vychisl. Mat. Mat. Fiz., 17:2 (1977),  437–452  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 17:2 (1977), 144–160
1974
35. V. G. Korneev, “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  mathnet  mathscinet  zmath
2003
36. V. G. Korneev, “Letter to the Editorial Board”, Differ. Uravn., 39:2 (2003),  284  mathnet  mathscinet; Differ. Equ., 39:2 (2003), 311
1996
37. Yu. K. Demjanovich, V. G. Korneev, “Foreword”, Matem. Mod., 8:9 (1996),  2  mathnet

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