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Recent Publications (Last 5 Years)

2025

• M. Vasilyeva, A. Krasnikov, K. Gajamannage, M. Mehrubeoglu (2025). Multiscale method for image denoising using nonlinear diffusion process: local denoising and spectral multiscale basis functions. Journal of Computational and Applied Mathematics, 116733.
• K. Gajamannage, D.I. Jayathilake, M. Vasilyeva (2025). Efficient and Robust Remote Sensing Image Denoising Using Randomized Approximation of Geodesics’ Gramian on the Manifold Underlying the Patch Space. International Journal of Remote Sensing, 1-24.
• M. Vasilyeva (2025). Generalized Multiscale Finite Element Method for discrete network (graph) models. Journal of Computational and Applied Mathematics, 457:116275.

2024

• M. Vasilyeva (2024). Implicit-Explicit schemes for decoupling multicontinuum problems in porous media. Journal of Computational Physics, 519:113425.
• M. Vasilyeva, R. Coffin, I. Pecher (2024). Decoupled multiscale numerical approach for reactive transport in marine sediment column. Computer Methods in Applied Mechanics and Engineering, 428, 117087.
• M. Vasilyeva, S. M. Mallikarjunaiah (2024). Generalized multiscale finite element treatment of a heterogeneous nonlinear strain-limiting elastic model. Multiscale Modeling & Simulation, 22(1), 334-368.
• D. Spiridonov, M. Vasilyeva (2024). Non-local multi-continuum method (NLMC) for Darcy–Forchheimer flow in fractured media. Journal of Computational and Applied Mathematics, 438, 115574.

2023

• M. Vasilyeva, N. A. Mbroh, M. Mehrubeoglu (2023). Lower-Dimensional Model of the Flow and Transport Processes in Thin Domains by Numerical Averaging Technique. Fluids, 9(1), 4.
• R. Coffin, M. Vasilyeva, I. Pecher, D. McConnell (2023). The Importance of Secondary Traps and Sinks in Offshore CO2 Sequestration. In Offshore Technology Conference (p. D011S002R009). OTC.
• M. Vasilyeva (2023). Efficient decoupling schemes for multiscale multicontinuum problems in fractured porous media. Journal of Computational Physics, 487, 112134.
• M. Vasilyeva, D. Spiridonov (2023). Multiscale Model Reduction with Local Online Correction for Polymer Flooding Process in Heterogeneous Porous Media. Mathematics, 11(14), 3104.
• A. Tyrylgin, M. Vasilyeva, A. Alikhanov, D. Sheen (2023). A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media. Journal of Computational and Applied Mathematics, 418, 114670.
• M. Vasilyeva, S. Stepanov, A. Sadovski, S. Henry (2023). Uncoupling techniques for multispecies diffusion–reaction model. Computation, 11(8), 153.
• U. Kalachikova, M. Vasilyeva, I. Harris, E.T. Chung (2023). Generalized Multiscale Finite Element Method for scattering problem in heterogeneous media. Journal of Computational and Applied Mathematics, 424, 114977.
• M. Vasilyeva, A. Sadovski, D. Palaniappan (2023). Multiscale solver for multi-component reaction–diffusion systems in heterogeneous media. Journal of Computational and Applied Mathematics, 427, 115150.
• Y. Wang, M. Vasilyeva, S. Stepanov, A. Sadovski (2023). Numerical investigation and factor analysis of two-species spatial-temporal competition system after catastrophic events. WSEAS Transactions on Systems, 22(1), 423-436.
• M. Vasilyeva, S. M. Mallikarjunaiah, D. Palaniappan (2023). Multiscale model reduction technique for fluid flows with heterogeneous porous inclusions. Journal of Computational and Applied Mathematics, 424, 114976.
• D. Ammosov, M. Vasilyeva (2023). Online Multiscale Finite Element Simulation of Thermo-Mechanical Model with Phase Change. Computation, 11(4), 71.

2022

• M. Vasilyeva, Y. Wang, S. Stepanov, A. Sadovski (2022). Numerical investigation and factor analysis of the spatial-temporal multi-species competition problem. WSEAS Transactions on Mathematics.
• A. Tyrylgin, S. Stepanov, D. Ammosov, A. Grigorev, M. Vasilyeva (2022). Partial Learning using Partially Explicit Discretization for Multicontinuum/Multiscale Problems with Limited Observation. Dual Continuum Heterogeneous Poroelastic Media Simulation. Mathematics, 10(15), 2629.
• D. Ammosov, Y. Efendiev, E. Grekova, M. Vasilyeva (2022). Generalized macroscale model for Cosserat elasticity using Generalized Multiscale Finite Element Method. Journal of Computational Physics, 461, 111011.
• D. Ammosov, V. Vasil’ev, M. Vasilyeva, S. Stepanov (2022). Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method. Theoretical and Mathematical Physics, 211(2), 595-610.
• A. Tyrylgin, M. Vasilyeva, A. Alikhanov, D. Sheen (2022). A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media. Journal of Computational and Applied Mathematics, 418, 114670.
• D. Spiridonov, M. Vasilyeva, M. Wang, E. T. Chung (2022). Mixed Generalized Multiscale Finite Element Method for flow problem in thin domains. Journal of Computational and Applied Mathematics, 114577.
• D. Ammosov, M. Vasilyeva, E. T. Chung (2022). Generalized Multiscale Finite Element Method for thermoporoelasticity problems in heterogeneous and fractured media. Journal of Computational and Applied Mathematics, 407, 113995.
• E. T. Chung, U. Kalachikova, M. Vasilyeva, V. Alekseev (2022). Generalized multiscale discontinuous Galerkin method for convection–diffusion equation in perforated media. Mathematics and Computers in Simulation, 193, 666-688.
• D. Ammosov, M. Vasilyeva, A. Nasedkin, Y. Efendiev (2022). Generalized Multiscale Finite Element Method for piezoelectric problem in heterogeneous media. Engineering Analysis with Boundary Elements, 135, 12-25.

2021

• A. Tyrylgin, M. Vasilyeva, D. Ammosov, E. T. Chung, Y. Efendiev (2021). Online Coupled Generalized Multiscale Finite Element Method for the Poroelasticity Problem in Fractured and Heterogeneous Media. Fluids, 6(8), 298.
• M. Vasilyeva, A. Tyrylgin, D. L. Brown, A. Mondal (2021). Preconditioning Markov Chain Monte Carlo Method for Geomechanical Subsidence using multiscale method and machine learning technique. Journal of Computational and Applied Mathematics, 392, 113420.
• M. Vasilyeva, V. Alekseev, E. T. Chung, Y. Efendiev (2021). Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries. Journal of Computational Physics, 110512.
• M. Vasilyeva, A. Tyrylgin (2021). Machine learning for accelerating macroscopic parameters prediction for poroelasticity problem in stochastic media. Computers & Mathematics with Applications, 84, 185-202.
• D. Spiridonov, M. Vasilyeva, A. Tyrylgin, E. T. Chung (2021). An Online Generalized Multiscale Finite Element Method for Unsaturated Filtration Problem in Fractured Media. Mathematics, 9(12), 1382.
• M. Vasilyeva, D. Ammosov, V. Vasil’ev (2021). Finite Element Simulation of Thermo-Mechanical Model with Phase Change. Computation, 9(1), 5.
• Vasil’ev, V. I., Vasilyeva, M. V., Nikiforov, D. Y., Sidnyaev, N. I., Stepanov, S. P., Tseeva, A. N. (2021). Computational Implementation of a Mixed-Dimensional Model of Heat Transfer in the Soil–Pipe System in Cryolithic Zone. Computational Mathematics and Mathematical Physics, 61(12), 2054-2067.
• A. Tyrylgin, Y. Chen, M. Vasilyeva, E. T. Chung (2021). Multiscale model reduction for the Allen–Cahn problem in perforated domains.

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