Publications


2017


  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. – 2017. – Т. 321. – С. 389-405.
  2. 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. – 2017. – Т. 321. – С. 389-405
  3. Yang, K., Guha, N., Efendiev, Y., & Mallick, B. K. Bayesian and variational Bayesian approaches for flows in heterogeneous random media //Journal of Computational Physics. – 2017. – Т. 345. – С. 275-293
  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 353 (2018): 356-376
  5. Eric T. Chung, Wing Tat Leung, Maria Vasilyeva, Yating Wang. Multiscale model reduction for transport and flow problems in perforated domainsJournal of Computational and Applied Mathematics 330 (2018): 519-535
  6. 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, 83(1), 1-70. 2017
  7. Chung, E. T., Efendiev, Y., Leung, W. T., Wang, Y., & Vasilyeva, M. Non-local Multi-continua Upscaling for Flows in Heterogeneous Fractured Media. arXiv preprint arXiv:1708.08379. 2017
  8. Chung, E. T., Efendiev, Y., Jin, B., Leung, W. T., & Vasilyeva, M. Generalized Multiscale Inversion for Heterogeneous Problems. arXiv preprint arXiv:1707.08194. 2017
  9. 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. – 2017
  10. Chung Eric T., Efendiev Yalchin, Leung Wing Tat, Vasilyeva Maria, Wang Yating. Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains // Applicable Analysis. 2017. Vol. 96, no. 12, pp.2002-2031
  11. 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. – 2017. (submitted, Journal of Computational and Applied Mathematics)
  12. 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
  13. 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
  14. P.N. Vabishchevich. Two-component domain decomposition scheme with overlapping subdomains for parabolic equations – 2017. (submitted)
  15. Qiuqi Li, Yuhe Wang, Maria Vasilyeva. Multiscale Model Reduction for Fluid Infiltration Simulation through Dual-Continuum Porous Media with Localized Uncertainties, (submitted)
  16. Aashutosh Mistry, Partha P. Mukherjee, Maria Vasilyeva. Multiscale Model Reduction for Pore-scale Simulation of Li-ion batteries using GMsFEM. (submitted)
  17. Chung E. T., Efendiev Y., Leung W. T. Fast Online Generalized Multiscale Finite Element Method using Constraint Energy Minimization //arXiv preprint arXiv:1706.07093. – 2017. (submitted)
  18. Chung E., Efendiev Y., Leung W. T. Constraint Energy Minimizing Generalized Multiscale Finite Element Method in the Mixed Formulation //arXiv preprint arXiv:1705.05959. – 2017. (submitted)
  19. Chung E. T., Efendiev Y., Leung W. T. Constraint Energy Minimizing Generalized Multiscale Finite Element Method //arXiv preprint arXiv:1704.03193. – 2017. (submitted)
  20. Galvis, J., Chung, E., Efendiev, Y., Leung, W. T.On overlapping domain decomposition methods for high-contrast multiscale problems //arXiv preprint arXiv:1705.09004. – 2017. (submitted)
  21. E.T. Chung, Y. Efendiev, W.T. Leung, Y. Wang, M. Vasilyeva. Non-local Multi-continua Upscaling for Flows in Heterogeneous Fractured Media. arXiv preprint arXiv:1708.08379, 2017 (submitted)
  22. E.T. Chung, Y. Efendiev, B. Jin, W.T. Leung, M. Vasilyeva. Generalized Multiscale Inversion for Heterogeneous Problems. arXiv preprint arXiv:1707.08194, 2017 (submitted)
  23. Q. Li, Y. Wang, M. Vasilyeva. Multiscale model reduction for fluid infiltration simulation through dual-continuum porous media with localized uncertainties. 2017 (submitted)
  24. M. Vasilyeva, P. Mukherjee, A. Mistry. Multiscale model reduction for pore- scale simulation of li-ion batteries using gmsfem. 2017 (submitted)
  25. 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.
  26. 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
  27. 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
  28. 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))
  29. Vasilyeva M., Vasil’ev V., Krasnikov A., Nikiforov D. Numerical simulation of the one phase filtration problem in fractured porous media – 2017. (submitted)
  30. Iliev O., Nikiforova M.A., Semenov Y.V., Zakharov P.E. Splitting Algorithm for Numerical Simulation of Li-ion Battery Electrochemical Processes. – 2017. (submitted, AIP Conference Proceedings)
  31. Grigoriev V.V., Zakharov P.E. Numerical simulation of two-dimensional Rayleigh-Benard convection. – 2017. (submitted, AIP Conference Proceedings)
  32. Sirditov I., Stepanov S. Mathematical modeling of the Heat Transfer for Determining the Depth of Thawing Basin Building with Long Service Live. – 2017. (submitted, AIP Conference Proceedings)
  33. Sivtsev P., Stepanov S. Numerical modeling of stress-strain state of pipeline. – 2017. (submitted, AIP Conference Proceedings)
  34. Vasilyeva M., Gavrilieva U. Numerical simulation of elastic waves using discontinuous Galerkin  method in heterogeneous media – 2017. (submitted)
  35. Vasilyeva M., Prokopiev G. Numerical solution of the two-phase flow filtration problem with heterogeneous coefficients using finite element method  – 2017. (submitted)
  36. Vasilyeva M., Kolesov A., Tirilgin A. Numerical modellung of the viscoporoelastic problems for soils  – 2017. (submitted)

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)