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Alekseev, Aleksei Kirillovich
Statistics Math-Net.Ru
Total publications: 19
Scientific articles: 19

Number of views:
This page:620
Abstract pages:4149
Full texts:1765
References:414
Alekseev, Aleksei Kirillovich
Associate professor
Doctor of physico-mathematical sciences
E-mail: ,
Keywords: adjoint equations, a posteriori error estimation.
UDC: 533, 519.6, 519.631, 519.63

Subject:

Adjoint equations, a posteriori error estimation, Inverse Problems, aerothermophysics.
   
Main publications:
  1. A.K. Alekseev I.M. Navon, “The analysis of an ill-posed problem using multiscale resolution and second order adjoint techniques”, Computer Methods in Appl. Mech. and Eng., 190:15-17 (2001), 1937–1953
  2. A.K. Alekseev I.M. Navon, “On a-posteriori pointwise error estimation using adjoint temperature and lagrange remainder”, Computer Methods in Appl. Mech. and Eng., 194:18-20 (2005), 2211–2228
  3. A.K.Alekseev, “On Estimation of entrance boundary parameters from downstream measurements using ajoint approach”, Int J. for Numerical Methods in Fluids, 36 (2001), 971–982
  4. A.K. Alekseev I.M. Navon, “Adjoint Correction and Bounding of Error Using Lagrange Form of Truncation Term”, Computers & Mathematics with Applications, 50 (2005), 1311–1332
  5. A.K.Alekseev I.M. Navon, “A Posteriori Error Estimation by Postprocessor Independent of Flowfield Calculation Method”, Computers & Mathematics with Applications, 51 (2006), 397–404

https://www.mathnet.ru/eng/person32559
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/674299
https://www.researchgate.net/profile/Aleksey_Alekseev
https://arxiv.org/a/alekseev_a_1

Publications in Math-Net.Ru Citations
2020
1. A. K. Alekseev, A. E. Bondarev, “On comparison of solutions at verification”, Matem. Mod., 32:6 (2020),  97–110  mathnet; Math. Models Comput. Simul., 13:1 (2021), 154–161
2. A. K. Alekseev, A. E. Bondarev, “On a posteriori estimation of the approximation error norm for an ensemble of independent solutions”, Sib. Zh. Vychisl. Mat., 23:3 (2020),  233–248  mathnet; Num. Anal. Appl., 13:3 (2020), 195–206  isi 5
2019
3. A. K. Alekseev, A. E. Bondarev, “The features of the of truncation and approximation errors’ geometry on the ensemble of numerical solutions”, Keldysh Institute preprints, 2019, 107, 24 pp.  mathnet 2
4. A. K. Alekseev, A. E. Bondarev, “Estimation of the distance between true and numerical solutions”, Zh. Vychisl. Mat. Mat. Fiz., 59:6 (2019),  913–919  mathnet  elib; Comput. Math. Math. Phys., 59:6 (2019), 857–863  isi  scopus 11
2018
5. A. K. Alekseev, A. E. Bondarev, “On the application of the dynamic mode decomposition in problems of computational fluid dynamics”, Keldysh Institute preprints, 2018, 154, 30 pp.  mathnet  elib 1
2016
6. A. K. Alexeev, A. E. Bondarev, “On important information for inverse problems and its visualization”, Keldysh Institute preprints, 2016, 034, 20 pp.  mathnet
2012
7. A. K. Alekseev, “Control of the transition between regular and mach reflection of shock waves”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012),  1134–1142  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:6 (2012), 976–983  isi  elib  scopus
2011
8. A. K. Alekseev, A. E. Bondarev, “Adjoint Method Application and Adjoint Parameters Visualization for Flow Control and Identification”, Keldysh Institute preprints, 2011, 050, 24 pp.  mathnet
9. A. K. Alekseev, A. E. Bondarev, “Adjoint Method Application for Validation and Verification Problems”, Keldysh Institute preprints, 2011, 049, 15 pp.  mathnet 1
2009
10. A. K. Alekseev, I. N. Makhnev, “On using the Lagrange coefficients for a posteriori error estimation”, Sib. Zh. Vychisl. Mat., 12:4 (2009),  375–388  mathnet; Num. Anal. Appl., 2:4 (2009), 302–313  scopus 6
2007
11. A. K. Alekseev, “On the error transfer calculation via adjoint equations”, Sib. Zh. Vychisl. Mat., 10:4 (2007),  325–334  mathnet
2006
12. A. K. Alekseev, S. V. Zhurin, “A postprocessor for a posteriori error estimation of computed flow parameters”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006),  1704–1710  mathnet  mathscinet; Comput. Math. Math. Phys., 46:9 (2006), 1623–1628  scopus 5
2005
13. A. K. Alekseev, “A posteriori error estimation of a finite difference solution based on adjoint equations and differential representations”, Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005),  1213–1225  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:7 (2005), 1172–1184 8
2001
14. A. K. Alekseev, “On regularization of ill-posed problem using wavelets”, Matem. Mod., 13:9 (2001),  110–118  mathnet  mathscinet  zmath
2000
15. A. K. Alekseev, “On estimation of flow parameters using adjoint equations for parabolized Navier–Stokes”, Matem. Mod., 12:6 (2000),  61–66  mathnet  zmath
1999
16. A. K. Alekseev, “On estimation of spatial distribution of entrance boundary parameters from flowfield measurements for supersonic flow”, Matem. Mod., 11:12 (1999),  33–44  mathnet 2
17. A. K. Alekseev, “The solution of an inverse retrospective problem of convection”, TVT, 37:4 (1999),  582–588  mathnet; High Temperature, 37:4 (1999), 552–558  isi 2
1997
18. A. K. Alekseev, “Estimation of parameters of unperturbed flow from the measurements of heat flux at the surface”, TVT, 35:5 (1997),  787–794  mathnet; High Temperature, 35:5 (1997), 775–782  isi  scopus
1993
19. A. K. Alekseev, “On the restoration of the heating history of a plate made of a thermodestructible material from the density profile in the final state”, TVT, 31:6 (1993),  975–979  mathnet; High Temperature, 31:6 (1993), 897–901  isi

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