Publications


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. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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
  12. 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 660-67, https://doi.org/10.1016/j.jcp.2018.09.054, ISSN 0021-9991
  13. 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
  14. 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 316-376, ISSN 0029-5981 DOI: 10.1002/nme.5958

Web Of Science (Core Collection)

  1. 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).
  2. Peter Minev, Petr N Vabishchevich. Splitting schemes for unsteady problems involving the grad-div operator // Applied Numerical Mathematics. -Volume 124. -2018. -Pages 130-139. -ISSN: 0168-9274. Doi.org/10.1016/j.apnum.2017.10.005.
  3. 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.
  4. 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
  5. 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
  6. 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.
  7. 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

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. Stepanov Sergei, Numerical modeling of three-dimensional problems of heat and mass transfer in the permafrost. (supervisor Vabishchevich P.N., Diploma # КНД 043844)
  2. 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)