Публикации


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. — 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. 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 — DOI: 10.3390/math8060904
  7. Vabishchevich, PN. Approximation of a fractional power of an elliptic operator // NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. JAN 2020, 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. — 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. DOI: 10.4208/cicp.OA-2018-0086

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

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

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

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, 23(4),c. 745-759, 2019.
  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

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 embedde