Publications


2021


Q1

  1. Efendiev Y., Pun S.M., Vabishchevich P.N. Temporal splitting algorithms for non-stationary multiscale problems // Journal of computational physics, V: 439. Number: 110375. DOI: 10.1016/j.jcp.2021.110375
  2. Chung ET., Efendiev Y., Leung W.T., Vasilyeva M. Nonlocal multicontinua with representative volume elements. Bridging separable and non-separable scales // Computer methods in applied mechanics and engineering, V: 377. 113687. DOI: 10.1016/j.cma.2021.113687
  3. Vasilyeva, Maria; Tyrylgin, Aleksei; Brown, Donald L. Preconditioning Markov Chain Monte Carlo Method for Geomechanical Subsidence using multiscale method and machine learning technique // Journal of computational and applied mathematics, V:392. ‏. 113420DOI:10.16/j.cam.2021.113420
  4. Vasilyeva, Maria; Tyrylgin, Aleksey Machine learning for accelerating macroscopic parameters prediction for poroelasticity problem in stochastic media // computers & mathematics with applications V: 84. PP.: ‏185-202. DOI: 10.16/j.camwa.2020.09.24
  5. Maria Vasilyeva, Valentin Alekseev, Eric T Chung, Yalchin Efendiev. Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries // Journal of computational physics. V: 442. 110512. DOI: 10.1016/j.jcp.2021.110512
  6. Denis Spiridonov, Maria Vasilyeva, Aleksei Tyrylgin, Eric T. Chung. An Online Generalized Multiscale Finite Element Method for Unsaturated Filtration Problem in Fractured Media // Mathematics, 2021, 9(12), 1382; https://doi.org/10.3390/math9121382
  7. Vabishchevich, P. N. An approximate representation of a solution to fractional elliptical BVP via solution of parabolic IVP // Journal of computational and applied mathematics, V: ‏391. 113460. DOI:10.16/j.apnum.2021.113460
  8. Vabishchevich, Petr N. Splitting schemes for non-stationary problems with a rational approximation for fractional powers of the operator // Applied numerical mathematics
    V: 165. PP.: ‏414-430. DOI: 10.16/j.cam.2021.03.006
  9. Efendiev, Yalchin; Vabishchevich, Petr N. Splitting methods for solution decomposition in nonstationary problems // Applied mathematics and computation. V: 397. 125785. DOI: 10.16/j.amc.2020.125785

Web Of Science (Core Collection)

  1. Vabishchevich, P. N. Monotone Schemes for Convection-Diffusion Problems with Convective Transport in Different Forms // Computational mathematics and mathematical physics, V: ‏61. Issue: 1. PP.: ‏90-102. DOI: 10.1134/S096554252120155

Others

  1. Vasilyeva Maria, Ammosov Dmitry, Vasil’ev Vasily. Finite Element Simulation of Thermo-Mechanical Model with Phase Change // Computation Volume: ‏9. Issue: 1. Number: 5. DOI:10.3390/computation 9010005

2020


Q1

  1. Tyrylgin A. et al. Generalized Multiscale Finite Element Method for the poroelasticity problem in multicontinuum media //Journal of Computational and Applied Mathematics. – 2020. – Т. 374. – С. 112783. – ISSN 0377-0427. — https://doi.org/10.1016/j.cam.2020.112783
  2. Maria Vasilyeva, Wing T. Leung, Eric T. Chung, Yalchin Efendiev, Mary Wheeler, Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques, Journal of Computational Physics, Volume 412, 2020, ISSN 0021-9991, https://doi.org/10.1016/j.jcp.2020.109323.
  3. Cherednichenko K. D., Ershova Y. Y., Kiselev A. V. Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I //Communications in Mathematical Physics. – 2020. – С. 1-52. – ISSN 0010-3616. – https://doi.org/10.1007/s00220-020-03696-2
  4. Zecheng Zhang, Eric T. Chung, Yalchin Efendiev and Wing Tat Leung. Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations // Mathematics, 2020, 8 (5), 720. ISSN 2227-7390, DOI: 10.3390/math8050720
  5. Aleksei Tyrylgin, Yaoyao Chen, Maria Vasilyeva, Eric T.Chung. Multiscale model reduction for the Allen–Cahn problem in perforated domains // Journal of Computational and Applied Mathematics, Volume 381, 1 January 2021, 113010. ISSN 0377-0427, https://doi.org/10.1016/j.cam.2020.113010
  6. D.Spiridonov, M.Vasilyeva, E.T.Chung, Y.Efendiev, R Jana. Multiscale Model Reduction of the Unsaturated Flow Problem in Heterogeneous Porous Media with Rough Surface Topography //Mathematics. 2020, Volume 8 (6), 904, ISSN 2227-7390, DOI: 10.3390/math8060904
  7. Vabishchevich, PN. Approximation of a fractional power of an elliptic operator // Numerical linear algebra with applications. Volume: 27 Issue: 3, JAN 2020, ISSN 1070-5325, https://doi.org/10.1002/nla.2287
  8. Yang Y. et al. A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation //Advances in applied mathematics and mechanics. – 2020. – Т. 12. – №. 1. – С. 57-86. – ISSN: 2070-0733. – DOI: 10.4208/aamm.OA-2019-0070
  9. Yongchae Cho, Richard L. Gibson, Hyunmin Kim, Mikhail Artemyev & Yalchin Efendiev, Time-Lapse 3-D Seismic Wave Simulation via the Generalized Multiscale Finite Element Method // Communications in computational physics. 2020, Volume 28 (1), Pp. 401-423. ISSN: 1815-2406, DOI: 10.4208/cicp.OA-2018-0086
  10. Vasil’ev Vasily, Vasilyeva Maria. An Accurate Approximation of the Two-Phase Stefan Problem with Coefficient Smoothing // Mathematics, 2020, 8(11), 1924. ISSN 2227-7390, DOI: 10.3390/math8111924

Web Of Science (Core Collection)

  1. Cheung S. W. et al. Deep global model reduction learning in porous media flow simulation //Computational Geosciences. – 2020. – Т. 24. – №. 1. – С. 261-274. – ISSN 1420-0597. – https://doi.org/10.1007/s10596-019-09918-4
  2. Cheung Siu Wun, Chung Eric T., Efendiev Yalchin, Leung Wing Tat, Vasilyeva Maria. Constraint energy minimizing generalized multiscale finite element method for dual continuum model // Communications in mathematical sciences, Volume 18, №3, pages.663-685. ISSN 1539-6746, DOI: 10.4310/CMS.2020.v18.n3.a4
  3. Vabishchevich P. N. Explicit-Implicit Schemes for First-Order Evolution Equations // Differential equations. 2020, том 56б вып. 7, стр. 882-889. ISSN 0012-2661, DOI: 10/1134/S0012266120070071
  4. Yin Yang, Sujuan Kang, Vasiliy I. Vasil’ev. The Jacobi spectral collocation method for fractional integro-differential equations with non-smooth solutions // Electronic research archive, Volume 28, Number 3, ISSN 2688-1594, doi:10.3934/era.2020064

Others

  1. Alekseev, V. Tang, Q. Vasilyeva, M. Chung, E.T. Efendiev, Y. Mixed Generalized Multiscale Finite Element Method for a Simplified Magnetohydrodynamics Problem in Perforated Domains // Computation 2020, 8, 58. Pp.1-15.doi:10.3390/computation8020058
  2. Gavrilieva Uygulana, Vasilyeva Maria, Chung Eric T. Generalized Multiscale Finite Element Method for Elastic Wave Propagation in the Frequency Domain // Computation, 2020, том 8, вып. 3, статья 63. DOI: 10.3390/computation8030063

2019


Q1

  1. Denis Spiridonov, Maria Vasilyeva, Wing Tat Leung, A Generalized Multiscale Finite Element Method (GMsFEM) for perforated domain flows with Robin boundary conditions // Journal of Computational and Applied Mathematics. – Volume 357. – 2019. – Pages 319-328. – ISSN 0377-0427. — https://doi.org/10.1016/j.cam.2019.03.007.
  2. Maria Vasilyeva, Eric T. Chung, Wing Tat Leung, Yating Wang, Denis Spiridonov, Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using Non-Local Multi-Continuum method (NLMC) // Journal of Computational and Applied Mathematics. – Volume 357. – 2019. – Pages 215-227. – ISSN 0377-0427. — https://doi.org/10.1016/j.cam.2019.02.030.
  3. Maria Vasilyeva, Eric T. Chung, Siu Wun Cheung, Yating Wang, Georgy Prokopev, Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media // Journal of Computational and Applied Mathematics. – Volume 355. – 2019. – Pages 258-267. – ISSN 0377-0427. — https://doi.org/10.1016/j.cam.2019.01.024.
  4. Raimondas Cˇiegis, Petr N. Vabishchevich, High order numerical schemes for solving fractional powers of elliptic operators // Journal of Computational and Applied Mathematics. – ISSN 0377-0427.
  5. Min Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung and Yating Wang. Prediction of Discretization of GMsFEM Using Deep Learning // Mathematics 2019, 7(5), 412, – http://doi.org/10.3390/math7050412.
  6. Su LingDe, A radial basis function (RBF)-finite difference (FD) method for the backward heat conduction problem // Applied Mathematics and Computation. – Volume 354. – 2019. – Pages 232-247. – ISSN 0096-3003. – DOI:10.1016/j.amc.2019.02.035
  7. Vasilyeva Maria, Stepanov Sergei, Vasil’ev Vasiliy. I, Multiscale Finite Element Method for heat transfer problem during artificial ground freezing // Journal of Computational and Applied Mathematics. – ISSN 0377-0427. Submitted
  8. Michael V. Klibanov, Aleksandr E. Kolesov, Dinh-Liem Nguyen, Convexification Method for an Inverse Scattering Problem and Its Performance for Experimental Backscatter Data for Buried Targets // SIAM journal on imaging sciences, ISSN 1936-4954, 2019, Vol. 12, No. 1 : pp. 576-603 https://doi.org/10.1137/18M1191658
  9. Eric T.Chung, Yalchin Efendiev, Wing Tat Leung, Shuai Ye. Generalized multiscale finite element methods for space–time heterogeneous parabolic equations // Computers and Mathematics with Applications. -Volume 76, Issue 2. -2018. -Pages 419-437. -ISSN: 0898-1221. https://doi.org/10.1016/j.camwa.2018.04.028.
  10. Eric T. Chung, Yalchin Efendiev, Wing Tat Leung. Constraint Energy Minimizing Generalized Multiscale Finite Element Method // Comput. Methods Appl. Mech. Engrg. -Volume 339. 2018. -Pages 298–319. -ISSN: 0045-7825. https://doi.org/10.1016/j.cma.2018.04.010.
  11. Eric T. Chung, Yalchin Efendiev, W. T. Leung. Generalized Multiscale Finite Element Methods with energy minimizing oversampling // International Journal for Numerical Methods in Engineering, Volume 117, 2019, pp 316-343, ISSN 0029-5981 DOI: 10.1002/nme.5958
  12. L.-D. Su. Numerical solution of two-dimensional nonlinear sine-Gordon equation using localized method of approximate particular solutions // Engineering Analysis with Boundary Elements, 108, pp. 95-107, 2019.
  13. Cheung, S. W., Wang, M., Leung, W. T., Chung, E. T., F.Wheeler, M., Wang, M., … Wheeler, M. (2019). Reduced-order Deep Learning for Flow Dynamics. The interplay between deep learning and model reduction. Journal of Computational Physics, 108939. doi:10.1016/j.jcp.2019.108939
  14. Min Wang, Siu Wun, Cheung, Eric T. Chung, Maria Vasilyeva, Yuhe Wang. Generalized multiscale multicontinuum model for fractured vuggy carbonate reservoirs // Journal of Computational and Applied Mathematics, Volume 366, 1 March 2020, https://doi.org/10.1016/j.cam.2019.112370
  15. Denis Spiridonov, Maria Vasilyeva, Eric T. Chung. Generalized Multiscale Finite Element method for multicontinua unsaturated flow problems in fractured porous media // Journal of Computational and Applied Mathematics, Available online 5 November 2019, 112594. https://doi.org/10.1016/j.cam.2019.112594
  16. Denis Spiridonov, Jian Huang, Maria Vasilyeva,Yunqing Huang and Eric T. Chung. Mixed Generalized Multiscale Finite Element Method for Darcy-Forchheimer Model // Mathematics, 2019, 7(12), 1212; https://doi.org/10.3390/math7121212
  17. Bessaih H., Efendiev Y., Maris R.F. Stochastic homogenization for a diffusion-reaction model // DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Том: 39 Выпуск: 9 Стр.: 5403-5429 DOI: 10.3934/dcds.2019221
  18. Eric T. Chung, Yalchin Efendiev, Wing Tat Leung. Multiscale stabilization for convection–diffusion equations with heterogeneous velocity and diffusion coefficients // Computers & Mathematics with Applications / Available online 26 November 2019. https://doi.org/10.1016/j.camwa.2019.11.002
  19. Yating Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Min Wang. Deep multiscale model learning // Journal of Computational Physics. In Press, Journal Pre-proof, Available online 21 November 2019. https://doi.org/10.1016/j.jcp.2019.109071
  20. Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich. Computational identification of adsorption and desorption parameters for pore scale transport in periodic porous media // Journal of Computational and Applied Mathematics, Volume 370, 15 May 2020, 112661. https://doi.org/10.1016/j.cam.2019.112661

Web Of Science (Core Collection)

  1. M. Vasilyeva, J. D. De Basabe, Y. Efendiev, R. L. Gibson, Multiscale model reduction of the wave propagation problem in viscoelastic fractured media // Geophysical Journal International, Volume 217, Issue 1, Pages 558–571, – ISSN 0956-540X. https://doi.org/10.1093/gji/ggz043
  2. Vabishchevich, P.N. Alternating triangular schemes for second – order evolution equations // Computational Mathematics and Mathematical Physics (2019) 59: 266 . https://doi.org/10.1134/S0965542519020155
  3. Maria Vasilyeva, Masoud Babaei, Eric T. Chung, Valentin Alekseev, Upscaling of the single-phase flow and heat transport in fractured geothermal reservoirs using nonlocal multicontinuum mehod // Computational Geosciences (online)
  4. Vabishchevich, P.N. Three-Level Schemes for the Advection Equation // Differential equations Volume: 55 Issue: 7 Pages: 905-914. ISSN: 0012-2661. DOI: 10.1134/S0012266119070048
  5. E. T. Chung, Ya. Efendiev, W. T. Leung, M. Wheeler. Nonlinear Nonlocal Multicontinua Upscaling Framework and Its Applications // International Journal for Multiscale Computational Engineering — issn 1940-4352, 2018, 16(5), pp. 487–507. doi:10.1615/intjmultcompeng.2018027832
  6. Yongchae Cho, Richard L. Gibson, Jr., Shubin Fu, Yalchin Efendiev. Frequency-domain reverse-time migration with accelerated wave simulation via generalized multiscale finite element // Journal of Applied Geophysics -ISSN: 0926-9851, Volume 160, January 2019, Pages 103-120. https://doi.org/10.1016/j.jappgeo.2018.11.005
  7. Chung E., Efendiev Y., Leung, WT. Constraint energy minimizing generalized multiscale finite ele-ment method in the mixed formulation // COMPUTATIONAL GEOSCIENCES. — Volume 22. Issue 3. — 2018. — Pages 677-693. — ISSN 1420-0597. —DOI: 10.1007/s10596-018-9719-7. (Q2).
  8. Vabishchevich, P.N. Computational Identification of the Time Dependence of the Right-Hand Side of a Hyperbolic Equation // Computational Mathematics and Mathematical Physics (2019) 59: 9. Зз. 1475-1483. https://doi.org/10.1134/S096554251909015Х
  9. Chung E.T., Efendiev Y., Jin B.T., Leung W.T.,Vasilyeva M. Generalized Multiscale Inversion for Heterogeneous Problems // Communications of Computational Physics, Том: 25, Выпуск: Стр.: 1213-1234. DOI: 10.4208/cicp.OA-2017-0184
  10. Wing Tat Leung, Eric T. Chung, Yalchin Efendiev, Maria Vasilyeva, Mary Wheeler. Space-Time Nonlinear Upscaling Framework Using Non-local Multi-continuum Approach // International Journal for Multiscale Computational Engineering, Volume 17, 2019, Issue 5. DOI: 10.1615/IntJMultCompEng.2019031829
  11. Vasilyeva Maria, Chung Eric T., Efendiev Yalchin; Tyrylgin A. A Three-Level Multi-Continua Upscaling Method for Flow Problems in Fractured Porous Media // COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 27(2), 619-638. DOI:10.4208/cicp.OA- 2018-2019

Others

  1. Jingyan Zhang, Siu Wun Cheung, Yalchin Efendiev, and Eduardo Gildin, Eric T. Chung. Deep Model Reduction-Model Learning for Reservoir Simulation // Society of Petroleum Engineers. https://doi.org/10.2118/193912-MS
  2. Leung, W. T., Chung, E. T., Efendiev, Y., Vasilyeva, M., & Wheeler, M. (2019, March 29). Nonlinear Upscaling of Two-Phase Flow Using Non-Local Multi-Continuum Approach // Society of Petroleum Engineers. doi:10.2118/193889-MS
  3. S. Stepanov, A. Grigorev, M. Vasilyeva, D. Nikiforov and D. Spiridonov, Multiscale model reduction of fluid flow based on the dual porosity model // Journal of Physics: Conference Series. – 2019, -V. 1158, doi:10.1088/1742-6596/1158/4/042025.
  4. A. Tyrylgin, D. Spiridonov and M. Vasilyeva, Numerical homogenization for poroelasticity problem in heterogeneous media // Journal of Physics: Conference Series. – 2019, -V. 1158, doi:10.1088/1742-6596/1158/4/042030.
  5. M. Vasilyeva, and A. Tyrylgin, Convolutional neural network for fast prediction of the effective properties of domains with random inclusions // Journal of Physics: Conference Series. – 2019, -V. 1158, doi:10.1088/1742-6596/1158/4/042034.
  6. D. Y. Nikiforov and S. P. Stepanov, Numerical simulation of the embedded discrete fractures by the finite element method // Journal of Physics: Conference Series. – 2019, -V. 1158, doi:10.1088/1742-6596/1158/3/032038.
  7. V. I. Vasil’ev, A. M. Kardashevsky and V V Popov, An inverse problem for determination of the right part of parabolic equation by conjugate gradient method // Journal of Physics: Conference Series. – 2019, -V. 1158, doi:10.1088/1742-6596/1158/4/042033.
  8. Ammosov, D., Vasilyeva, M., Babaei, M. and Chung, E, A coupled dual continuum and discrete fracture model for subsurface heat recovery with thermoporoelastic effects // Mathematical notes of NEFU, 2019. V 26, № 1, Pages 94 – 106, https://doi.org/10.25587/SVFU.2019.101.27250.
  9. Su Ling-De, Vasil’ev Vasily I., Iterative identification of the spacewise-dependent right-hand side in a parabolic equation // Mathematical notes of NEFU, 2019. V 26, № 1, Pages 82 – 93, https://doi.org/10.25587/SVFU.2019.101.27249.
  10. Lazarev, N., Tani, A. и Sivtsev, P. Optimal radius of a rigid cylindrical inclusion in nonhomogeneous plates with a crack // Математические заметки СВФУ, 26(1), сс. 46-58. doi: https://doi.org/10.25587/SVFU.2019.101.27246.
  11. М. В. Васильева, Д. А. Спиридонов, Э. Т. Чун, Я. Эфендиев. Смешанный многомасштабный метод конечных элементов для задач в перфорированных средах с неоднородными граничными условиями Дирихле // Математические заметки СВФУ, 26(2), DOI: 10.25587/SVFU.2019.102.31512.
  12. V. Alekseev, A. Tyrylgin, M. Vasilyeva. Generalized Multiscale Finite Element Method for elasticity problem in fractured media / LNCS, 11386, 2019. с. 137-144.
  13. A.Tyrylgin, M. Vasilyeva, D. Brown. Generalized Multiscale Finite Element Method for poroelasticity problems in heterogeneous media / LNCS, 11386, 2019. с. 566-573
  14. U. Gavrilieva, V. Alekseev, M. Vasilyeva, J.D.De Basabe, Y.Efendiev, R.L.Gibson, Jr. Generalized Multiscale Discontinuous Galerkin Method for Helmholtz problem in fractured media / LNCS, 11386, 2019. с. 250-257
  15. D. Spiridonov, M. Vasilyeva. Generalized Multiscale Finite Element method for unsaturated filtration problem in heterogeneous medium / LNCS, 11386, 2019. с. 517-524.
  16. Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Yating Wang. Upscaled model for mixed dimensional coupled flow problem in fractured porous media using Non-local multicontinuum (NLMC) method / LNCS, 11386, 2019. с. 604-611.
  17. V. I. Vasil’ev, A. M. Kardashevsky and V V Popov. The Conjugate Gradient Method for the Dirichlet Problem and Its Modifications / LNCS, 11386, 2019. с. 588 -595.
  18. A.Sivtseva, Petr Sivtsev. Numerical simulation of Deformations of Basalt roving / LNCS, 11386, 2019. с. 501-508.
  19. D.Kh.Ivanov. Iterative process for numerical recovering the lowest order spase-wise coefficient in parabolic equations / LNCS, 11386, 2019. с. 289-296.
  20. Avvakumov, A.V., Strizhov, V.F., Vabishchevich, P.N.,Vasilev, A.O. Automatic Time Step Selection for Numerical Solution of Neutron Diffusion Problems / LNCS, 11386, 2019. с. 145-152.
  21. Неустроева Н.В., Афанасьева Н.М., Егорова А.А. Вариационная задача для упругого тела с малыми периодически расположенными трещинами // Математические заметки СВФУ, 26(2), с. 17-30. DOI: 10.25587/SVFU.2019.102.31509
  22. K.D. Cherednichenko, Yu.Yu. Ershova, A.V. Kiselev, S.N. Naboko, “Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media”, Тр. ММО, 80, no. 2, МЦНМО, М., 2019, 295–342
  23. Valentin Alekseev, Maria Vasilyeva and Vasily Vasiliev. Multiscale simulation of the heat and mass transfer with Brinkman model / 2019, Journal of Physics: Conference Series, 1392, 012063. doi:10.1088/1742-6596/1392/1/012063
  24. Djulustan Nikiforov, Maria Vasilyeva, Yalchin Efendiev and Vasily Vasil’ev. GMsFEM on unstructured grids for single-phase flow in fractured porous media / 2019, Journal of Physics: Conference Series, 1392, 012071. doi:10.1088/1742-6596/1392/1/012071
  25. Alena A. Egorova, Natalia V. Neustroeva and Nadezhda M. Afanaseva. Homogenization of the elasticity problem with periodically located cracks / 2019, Journal of Physics: Conference Series, 1392, 012066/ doi:10.1088/1742-6596/1392/1/012066
  26. Uygulaana Gavrilieva, Maria Vasilyeva, Isaac Harris, Eric T. Chung and Yalchin Efendiev. Multiscale Finite Element Method for scattering problem in heterogeneous domain / 2019, Journal of Physics: Conference Series, 1392, 012067. doi:10.1088/1742-6596/1392/1/012067
  27. Vasiliy Grigoriev, Petr Zakharov and Mir Akimov. Effective calculation of thermophysical properties of composite materials with multiple configurations by asymptotic homogenization technique / 2019, Journal of Physics: Conference Series, 1392, 012069. doi:10.1088/1742-6596/1392/1/012069
  28. Petr V. Sivtsev, Aleksandr E. Kolesov, Petr E. Zakharov and Ying Yang. Numerical homogenization of elastoplastic deformations of composite material with small proportion of inclusions / 2019, Journal of Physics: Conference Series, 1392, 012074. doi:10.1088/1742-6596/1392/1/012074
  29. Aleksei Tyrylgin, Maria Vasilyeva and Eric T. Chung. Embedded fracture model in numerical simulation of the fluid flow and geo-mechanics using Generalized Multiscale Finite Element Method / 2019, Journal of Physics: Conference Series, 1392, 012075. doi:10.1088/1742-6596/1392/1/012075
  30. A. O. Vasilev, A. V. Avvakumov, V. F. Strizhov and P. N. Vabishchevich. Numerical calculation of spectral problems in SP3 approximation by FEM / 2019, JJournal of Physics: Conference Series, 1392, 012076. doi:10.1088/1742-6596/1392/1/012076
  31. D.Kh. Ivanov, A.E. Kolesov and P.N. Vabishchevich. Numerical method for recovering the piecewise constant right-hand side function of an elliptic equation from a boundary overdetermination data / 2019, Journal of Physics: Conference Series, 1392, 012081. doi:10.1088/1742-6596/1392/1/012081
  32. A.E. Kolesov, D.Kh. Ivanov and P.N. Vabishchevich. Recovery of a piecewise constant lower coefficient of an elliptic equation / 2019, Journal of Physics: Conference Series, 1392, 012084. doi:10.1088/1742-6596/1392/1/012084

2018


Q1

  1. Qiuqi Li, Yuhe Wang, Maria Vasilyeva, Multiscale model reduction for fluid infiltration simulation through dual-continuum porous media with localized uncertainties // Journal of Computational and Applied Mathematics. – Volume 336. – 2018. – Pages 127-146. – ISSN 0377-0427. — https://doi.org/10.1016/j.cam.2017.12.040.
  2. M. Vasilyeva, A. Mistry, P. Mukherjee. Multiscale Model Reduction for Pore-scale Simulation of Li-ion batteries using GMsFEM // Journal of Computational and Applied Mathematics. – Volume 344. – 2018. – Pages 73-88.— ISSN 0377-0427. — https://doi.org/10.1016/j.cam.2018.05.016.
  3. Eric T.Chung, Yalchin Efendiev, Wing Tat Leung, Maria Vasilyeva, Yating Wang. Non-local multi-continua upscaling for flows in heterogeneous fractured media // Journal of Computational Physics. — Volume 372. — 2018. — Pages 22-34. — ISSN 0021-9991. — https://doi.org/10.1016/j.jcp.2018.05.038.
  4. Chung Eric T., Efendiev Yalchin, Leung Wing Tat. Fast online generalized multiscale finite element method using constraint energy minimization // Journal of Computational Physics . — Volume 355. — 2018. — Pages 450-463. — ISSN 0021-9991. — DOI: 10.1016/j.jcp.2017.11.022.
  5. Petr N. Vabishchevich, Two-level schemes for the advection equation // Journal of Computational Physics. — Volume 363. — 2018. — Pages 158-177. — ISSN 0021-9991. — https://doi.org/10.1016/j.jcp.2018.02.044.
  6. Peter Minev, Shriram Srinivasan, Petr N.Vabishchevich. Flux formulation of parabolic equations with highly heterogeneous coefficients // Journal of Computational and Applied Mathematics. – Volume 340. – 2018. – Pages 582-601. — ISSN 0377-0427. DOI: 10.1016/j.cam.2017.09.015.
  7. E.M. Rudoy, N.P. Lazarev, Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko’s beam // Journal of Computational and Applied Mathematics. — Volume 334. — 2018. — Pages 18-26. — ISSN 0377-0427. — https://doi.org/10.1016/j.cam.2017.11.019.
  8. M.V. Klibanov, A.E. Kolesov. Convexification of a 3-d coefficient inverse scattering problem // Computers and Mathematics with Applications. — 2018. — ISSN 0898-1221. — Published online, https://doi.org/10.1016/j.camwa.2018.03.016.
  9. Michael V Klibanov, Aleksandr E Kolesov, Anders Sullivan and Lam Nguyen, A new version of the convexification method for a 1D coefficient inverse problem with experimental data // Inverse Problems. – Volume 34. – Number 11. ISSN 0266-5611, https://doi.org/10.1088/1361-6420/aadbc6
  10. Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev, Jihoon Kim, Constrained energy minimization based upscaling for coupled flow and mechanics // Journal of Computational Physics, Volume 376, 2019, Pages 660-674, https://doi.org/10.1016/j.jcp.2018.09.054, ISSN 0021-9991
  11. P. N. Vabishchevich, Computational identification of the lowest space-wise dependent coefficient of a parabolic equation // Applied mathematical modelling, Volume 65, 2019, pp. 361-376, ISSN 0307-904X, https://doi.org/10.1016/j.apm.2018.08.024

Web Of Science (Core Collection)

  1. P. N. Vabishchevich, P. E. Zakharov. Numerical Solution of Time-Dependent Problems with Different Time Scales // Computational Mathematics and Mathematical Physics — issn 0965-5425, 2018, Vol. 58, No. 10, pp. 1552–1561.
  2. E. N. Lazarev, V. Everstov. Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous two-dimensional bodies with a crack // Zeitschrift für Angewandte Mathematik und Mechanik — issn 1521-4001, DOI: 10.1002/zamm.201800268
  3. Alexander V Avvakumov, Valery F Strizhov, Petr N Vabishchevich, Alexander O Vasilev. State change modal method for numerical simulation of dynamic processes in a nuclear reactor // Progress in Nuclear Energy. -Volume 106. -2018. -Pages 240-261. -ISSN: 0149-1970. https://doi.org/10.1016/j.pnucene.2018.02.027.

Others

  1. Maria Vasilyeva, Eric T. Chung, Wing Tat Leung, Valentin Alekseev Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models (submitted GEM – International Journal on Geomathematics), ISSN: 1869-2672.
  2. Eric T. Chung, Yalchin Efendiev, Yanbo Li. Space-time GMsFEM for transport equations, GEM – International Journal on Geomathematics, 2018, Volume 9, Issue 2, pp 265–292, ISSN: 1869-2672.
  3. В.И. Васильев, М.В. Васильева, Д.Я. Никифоров. Численное решение задачи фильтрации в трещиноватой среде с использованием декомпозиции областей // Сибирский журнал индустриальной математики, 2018, том 21, № 4 (76), ISSN: 1560-7518, DOI: 10.17377/sibjim.2018.21.401.
  4. В.Н. Алексеев, В.И. Васильев, М.В. Васильева, С.П. Степанов. Математические модели смешанной размерности процессов тепломассопереноса в системе-грунт труба // Сибирские электронные математические известия. (submitted)
  5. В.И. Васильев, М.В. Васильева, А.В. Григорьев. Математическое моделирование задачи двухфазовой фильтрации в неоднородных трещиновато-пористых средах с использованием модели двойной пористости // Ученые записки Казанского университета, физико-математические науки, 2018, T. 160, C. 165-182. ISSN: 2541-7746.
  6. V. Alekseev, U. Gavrileva, D. Spiridonov, M. Vasilyeva. Numerical simulation of the transport and flow problems in perforated domains using Generalized Multiscale Finite Element method / AIP Conference Proceedings, 2018. 2025 (1), 100001
  7. U. Gavrilieva, V. Alekseev, M. Vasilyeva. Numerical homogenization for wave propagation in fractured media / AIP Conference Proceedings, 2018. 2025 (1), 100002.
  8. Aleksey Tyrylgin, Valentin Alekseev, Denis Spiridonov, Maria Vasilyeva, Qingfu Zhang. Mathematical modeling of the fluid flow and geo-mechanics in the fractured porous media using Generalized Multiscale Finite Element Method. / AIP Conference Proceedings, 2018. 2025 (1), 100009
  9. D. Spiridonov, M. Vasilyeva. Multiscale model reduction of the flow problem in fractured porous media using Mixed Generalized Multiscale Finite Element method / AIP Conference Proceedings, 2018. 2025 (1), 100008
  10. V. Alekseev, A. Tyrylgin, M. Vasilyeva. Generalized Multiscale Finite Element Method for elasticity problem in fractured media (submitted FDM: T&A proceeding)
  11. Tyrylgin, M. Vasilyeva, D. Brown. Generalized Multiscale Finite Element Method for poroelasticity problems in heterogeneous media (submitted FDM: T&A proceeding)
  12. U. Gavrilieva, V. Alekseev, M. Vasilyeva, J.D.De Basabe, Y.Efendiev, R.L.Gibson, Jr. Generalized Multiscale Discontinuous Galerkin Method for Helmholtz problem in fractured media (submitted FDM: T&A proceeding)
  13. D. Spiridonov, M. Vasilyeva. Generalized Multiscale Finite Element method for unsaturated filtration problem in heterogeneous medium (submitted FDM: T&A proceeding)
  14. Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Yating Wang. Upscaled model for mixed dimensional coupled flow problem in fractured porous media using Non-local multicontinuum (NLMC) method (submitted FDM: T&A proceeding)
  15. P. Sivtsev, A. Grigorev. Numerical modeling of multiphysics blood filtration problem in liver lobule / AIP Conference Proceedings, 2018. 2025, 070003.
  16. Kardashevskiy, V. Vasilev, V. Popov. Numerical reconstruction of the right-hand side with separable variables of the parabolic equation / AIP Conference Proceedings, 2018. 2025 (1), 100011
  17. P. Sivtsev, A. Sivtseva. Numerical simulation of deformations of basalt roving (submitted FDM: T&A proceeding)
  18. Kardashevskiy, V. Vasilev, V. Popov. The conjugate gradient method for the Dirichlet problem and its modifications (submitted FDM: T&A proceeding)
  19. М.В. Васильева, В.И. Васильев, А.А. Тырылгин. Консервативная разностная схема для задач фильтрации в трещиноватых средах / Математические заметки СВФУ, 2018. Том 25, № 4
  20. П. Е. Захаров, М. А. Никифорова. Численное моделирование термо-электрихимических процессов в li-ion аккумуляторах
    / Математические заметки СВФУ, 2018. Том 25, № 4

Software

  1. Vasilyeva Maria, Gavriliyeva Uygulaana, Alekseev Valentin, Computational library for numerical simulation of problems in fractured domains using the generalized multiscale finite element method. Certificate #2018663107
  2. Spiridonov Denis, Computational library for numerical simulation of problems in heterogeneous and perforated domains using the mixed generalized multiscale finite element method. Certificate #2018663108
  3. Nikiforov Djulustan, Software for generating 3D geometry with spheres (cylinders) for multiscale model reduction. Certificate #2018660901
  4. Nikiforov Djulustan, Software for generating 3D geometry with fracture for multiscale model reduction. Certificate #2018663110

PHD’s theses

  1. Vasilev Aleksandr, Numerical modeling of neutron diffusion dynamics in a nuclear reactor. (supervisor Vabishchevich P.N., Diploma # КНД 040819)
  2. Stepanov Sergei, Numerical modeling of three-dimensional problems of heat and mass transfer in the permafrost. (supervisor Vabishchevich P.N., Diploma # КНД 043844)
  3. Sivtsev Petr, Numerical study of some applied problems of calculating the stress-strain state. (supervisor Vabishchevich P.N.)

Master’s theses

  1. Grigoryeva S.Yu. Mathematical modeling of the thermal regime of permafrost around the well cluster (supervisor Afanasyeva N.)
  2. Il’ina K.P. Mathematical modeling based on dynamic grids (supervisor Grigorev A.)
  3. Mokhnachevskaya U.S. Numerical modeling of problems of linear elasticity in the dental system (supervisor Zakharov P.)
  4. Neobutov I.I. Numerical solution of the well problem by the finite element method (supervisor Popov V.V.)
  5. Prokopiev G.A. Multiscale method for solving the problem of poroelasticity in fractured porous media (supervisor Vasilyeva M.)
  6. Il’in E.V. Numerical simulation of the temperature regime of the foundations of roads in the permafrost (supervisor Stepanov S.)
  7. Nyurbintsev I. Yu. Numerical simulation of gas transportation through offshore gas pipelines, taking into account glaciation (supervisor Vasil’ev V.I.)
  8. Semenov L. A. Numerical modeling of problems of calculating the stress-strain state of a gas pipeline in a permafrost (supervisor Vasil’ev V.I.)

2017


Q1

  1. Chung E. T., Vasilyeva M., Wang Y. A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains //Journal of Computational and Applied Mathematics – ISSN: 0377-0427. – 2017. – V. 321. – P. 389-405, http://dx.doi.org/10.1016/j.cam.2017.03.004
  2. Yang, K., Guha, N., Efendiev, Y., & Mallick, B. K. Bayesian and variational Bayesian approaches for flows in heterogeneous random media //Journal of Computational Physics – ISSN: 0021-9991. – 2017. – V. 345. – P. 275-293, http://dx.doi.org/10.1016/j.jcp.2017.04.034
  3. Eric T. Chung, Wing Tat Leung, Maria Vasilyeva, Yating Wang. Multiscale model reduction for transport and flow problems in perforated domains // Journal of Computational and Applied Mathematics – ISSN: 0377-0427. – 2018. -V. 330. -P. 519-535, http://dx.doi.org/10.1016/j.cam.2017.08.017
  4. I. Yucel Akkutlu, Yalchin Efendiev, Maria Vasilyeva, Yuhe Wang . Multiscale model reduction for shale gas transport in poroelastic fractured media// Journal of Computational Physics – ISSN: 0021-9991. – 2018. -V. 353. -P. 356-376, https://doi.org/10.1016/j.jcp.2017.10.023
  5. P.N. Vabishchevich. Two-component domain decomposition scheme with overlapping subdomains for parabolic equations //Journal of Computational and Applied Mathematics – ISSN: 0377-0427. – 2018. -V. 340. -P. 664-675, https://doi.org/10.1016/j.cam.2017.09.015
  6. Vasilyeva M., Vasil’ev V., Stepanov S. Generalized multiscale discontinuous Galerkin method for solving the heat problem with phase change //Journal of Computational and Applied Mathematics – ISSN: 0377-0427. – 2018. -V. 340. -P. 645-652, https://doi.org/10.1016/j.cam.2017.12.004

Web Of Science (Core Collection)

  1. Akkutlu, I. Y., Efendiev, Y., Vasilyeva, M., Wang, Y. Multiscale model reduction for shale gas transport in a coupled discrete fracture and dual-continuum porous media //Journal of Natural Gas Science and Engineering – ISSN: 1875-5100. – 2017. – V. 48. -P. 65-76, http://dx.doi.org/10.1016/j.jngse.2017.02.040
  2. Cho, Y., Gibson, Jr, R. L., Vasilyeva, M., Efendiev, Y. Generalized multi-scale finite elements for simulation of elastic wave propagation in fractured media //Geophysics – ISSN: 0016-8033, – 2017. -V. 83. P. 1-70, https://doi.org/10.1190/geo2017-0076.1
  3. P.N. Vabishchevich. Splitting schemes for unsteady problems involving the grad-div operator //Applied Numerical Mathematics – ISSN: 0168-9274. – 2018. -V. 124. -P. 130-139, https://doi.org/10.1016/j.apnum.2017.10.005

Others

  1. Vabishchevich P.N., Vasil’ev A.O. Time step selection for the numerical solution of boundary value problems for parabolic equations // Computational Mathematics and Mathematical Physics. — 2017. — Vol. 57. —P. 843-853
  2. Avvakumov A. V., Strizhov V. F., Vabishchevich P. N. et al. Spectral properties of dynamic processes in a nuclear reactor // Annals of Nuclear Energy . — 2017. — Vol. 99. — P. 68-79
  3. Vasilyeva M.V., Vasilyev V. I., Krasnikov A. A., Nikiforov D.Y. Numerical Simulation of Single-Phase Fluid Flow in Fractured Porous Media // Uchenye Zapiski Kazanskogo Universiteta-Seriya Fiziko-Matematicheskie Nauki. 2017. 159(1), pp. 100-115.
  4. Fellerman, J., Brown, D.L., Vasilyeva, M. On Two-Scale Convergence of Fluid-Structure Interaction Problems with Applications to Poroelasticity // Poromechanics 2017 – Proceedings of the 6th Biot Conference on Poromechanics. 2017. pp. 125-132
  5. Avvakumov A.V., Vabishchevich P.N., Vasil’ev A.O., Strizhev V.F. Numerical modeling of neutron diffusion non-stationary problems // Matematicheskoe Modelirovanie. — 2017. — Vol. 29 (7). — P. 44-62
  6. Vladimir N. Glukhikh , Anna Y. Okhlopkova , Petr V. Sivtsev. Numerical Simulation of Deformations of Softwood Sawn Timber – 2017. (submitted, Lecture Notes in Computer Science (LNCS))
  7. Vasilyeva M., Vasil’ev V., Krasnikov A., Nikiforov D. Numerical simulation of the one phase filtration problem in fractured porous media – 2017. (submitted)
  8. Iliev O., Nikiforova M.A., Semenov Y.V., Zakharov P.E. Splitting Algorithm for Numerical Simulation of Li-ion Battery Electrochemical Processes.  // AIP Conference Proceedings. – 2017. -V. 1907
  9. Grigoriev V.V., Zakharov P.E. Numerical simulation of two-dimensional Rayleigh-Benard convection.  // AIP Conference Proceedings. – 2017. -V. 1907
  10. Sirditov I., Stepanov S. Mathematical modeling of the Heat Transfer for Determining the Depth of Thawing Basin Building with Long Service Live.  // AIP Conference Proceedings. – 2017. -V. 1907
  11. Sivtsev P., Stepanov S. Numerical modeling of stress-strain state of pipeline.  // AIP Conference Proceedings. – 2017. -V. 1907
  12. Vasil’ev V.I. Conjugate Gradient Method for Identification of a Spacewise Heat Source // Lecture Notes in Computer Science. – 2017
  13. Sivtsev P.V. Numerical Simulation of Deformations of Softwood Sawn Timber // Lecture Notes in Computer Science. – 2017
  14. Vabishchevich P.N., Vasilev A.O. Solution of the 3D Neutron Diffusion Benchmark by FEM // Lecture Notes in Computer Science. – 2017
  15. Vasilyeva M.V., Stepanov S.P., Sirditov I.K. Reduced dimension model for heat transfer of ground heat exchange in permafrost // Journal of Physics: Conference Series. – 2017, -V. 937.
  16. Vasil’ev V.I., Prokopiev G. Iterative solution of the inverse cauchy problem for elliptic equation by the conjugate gradient method // AIP Conference proceeding. – 2017. -V. 1895.
  17. Vasilyeva M., Gavrilieva U. Numerical simulation of elastic waves using discontinuous Galerkin  method in heterogeneous media // Vestnik NEFU. – 2017. -V. 58
  18. Vasilyeva M., Prokopiev G. Numerical solution of the two-phase flow filtration problem with heterogeneous coefficients using finite element method  // Vestnik NEFU. – 2017. -V. 59
  19. Vasilyeva M., Kolesov A., Tirilgin A. Numerical modellung of the viscoporoelastic problems for soils  – 2017. // Vestnik NEFU. – 2017. -V. 60.
  20. Васильева М. В. и др. Численное моделирование задач термоупругости для конструкции с внутренним источником //Математические заметки СВФУ. – 2017. – Т. 24. – №. 3.
  21. Спиридонов Д. А., Васильева М. В. Моделирование задач фильтрации в трещиноватых пористых средах посредством смешанного метода конечных элементов (встроенная модель трещин) //Математические заметки СВФУ. – 2017. – Т. 24. – №. 3.

Software

  1. Sirditov Ivan, Geometry generation software for multiscale model reduction. MSMESH. Certificate #2017661746
  2. Zakharov Petr, Software for numerical homogenization of problems of mathematical modeling. HOMOGENIZATION. Certificate #2017661743
  3. Vasilyeva Maria, Computational library for numerical simulation of problems in heterogeneous domains using the generalized multiscale finite element method. Certificate #2017661744

Master’s theses

  1. Spiridonov D. Solution of the elliptic equation by a generalized multiscale finite element method (GMsFEM) in perforated andheterogeneous media (supervisor Vasilyeva M.)
  2. Tirilgin A. Numerical modeling of the viscoporoelastic problems for soils  (supervisor Vasilyeva M.)
  3. Gavrilieva U. Numerical simulation of elastic waves using discontinuous Galerkin  method in heterogeneous media (supervisor Vasilyeva M.)
  4. Alekseev V. Numerical simulation of transport and flow problems with  phase change (supervisor Vasilyeva M.)
  5. Grigoryev V. Numerical simulation of two-dimensional Rayleigh-Benard convection (supervisor Zakharov P.)
  6. Sunkhalyrov K. Numerical modeling of gas transport by subsea gas pipelines (supervisor Vasiliev V.)
  7. Efimova A. Computational identification of the boundary condition in heat transfer problems (supervisor Vasiliev V.)
  8. Gerasimova E. Filtration of fluids in fractured porous media (supervisor Grigoryev A.)

Mega-grant of the Russian Federation Government (N 14.Y26.31.0013)