• e-mail: chernyshenko.a@gmail.com

Free surface flows research group:

Nonlinear finite volumes schemes research group:

CV_Chernyshenko.pdf

[1] Chernyshenko A., Danilov A., Kramarenko V., «Coupling of PDE and ODE Solvers in INMOST Parallel Platform: Application to Electrophysiology » // In: Voevodin V., Sobolev S. (eds) Supercomputing. RuSCDays 2019. Communications in Computer and Information Science, V. 1129. (2019) https://link.springer.com/chapter/10.1007%2F978-3-030-36592-9_16

[2] Chernyshenko A., Olshanskii M., «An unfitted finite element method for the Darcy problem in a fracture network » // Journal of Computational and Applied Mathematics, V. 336, (2019) https://www.sciencedirect.com/science/article/pii/S0377042719304273

[3] A.Y. Chernyshenko, M.A. Olshanskii, Y.V. Vassilevski, «Modeling Flow and Transport in Fractured Media by a Hybrid Finite Volume – Finite Element Method» // Numerical Mathematics and Advanced Applications ENUMATH 2017. Lecture Notes in Computational Science and Engineering, 126. (2019) Springer

[4] A.Y. Chernyshenko, M.A. Olshanskii, Y.V. Vassilevski, «A hybrid finite volume – finite element method for bulk–surface coupled problems» // Journal of Computational Physics, V. 352, pp. 516 – 533. 2018. https://www.sciencedirect.com/science/article/pii/S0021999117307374

[5] A.Y. Chernyshenko, A.A. Danilov, Y.V. Vassilevski, «Numerical simulations for cardiac electrophysiology problems» // Ed. R.P. Mondaini, Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, 2019 https://www.springerprofessional.de/en/numerical-simulations-for-cardiac-electrophysiology-problems/17236936

[6] Chernyshenko A., Olshahskii M., Vassilevski Y., «A Hybrid Finite Volume—Finite Element Method for Modeling Flows in Fractured Media» //Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. V. 200, Springer

[7] Chernyshenko A.Y., Olshanskii M.A. «An adaptive octree finite element method for PDEs posed on surfaces » // Computer Methods in Applied Mechanics and Engineering. 2015. V. 291. P. 146-172. http://www.sciencedirect.com/science/article/pii/S0045782515001358

[8] Chernyshenko A., Vassilevski Y. «A finite volume scheme with the discrete maximum principle for diffusion equations on polyhedral meshes » // Finite Volumes For Complex Applications Vii - Methods and Theoretical Aspects. 2014. V. 77, P. 197-205 https://link.springer.com/chapter/10.1007%2F978-3-319-05684-5_18

[9] A.Y. Chernyshenko, M. A. Olshanskii. «Non-degenerate Eulerian finite element method for solving PDEs on surface» // Russian Journal of Numerical Analysis and Mathematical Modelling,2013. V. 28, № 2. P. 101–124. http://www.degruyter.com/view/j/rnam.2013.28.issue-2/rnam-2013-0007/rnam-2013-0007.xml?format=INT

[10] Плёнкин А.В., Чернышенко А.Ю., Чугунов В.Н., Капырин И.В. «Методы построения адаптивных неструктурированных сеток для решения гидрогеологических задач» // Вычислительные методы и программирование. 2015. Т. 16. С. 518-533 http://num-meth.srcc.msu.ru/zhurnal/tom_2015/v16r449.html

[11] А.Ю. Чернышенко. «Построение сеток типа восьмеричное дерево со сколотыми ячейками в неоднородных областях » // Вычислительные методы и программирование. 2013. Т. 14. С. 229–245 http://num-meth.srcc.msu.ru/zhurnal/tom_2013/v14r126.html

• Russian Science Foundation project No 17-71-10173: “Effective numerical methods for hydraulic fracturing problems« (2017 – 2019)
• Russian Foundation for Basic Research project No 16-31-00527: “New numerical methods for geophysics problems in fractured media” (2016 – 2017).