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ORCIDSergey L. Gavrilyuk
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2020 – today
- 2024
[j17]Sergey L. Gavrilyuk
, Boniface Nkonga, Keh-Ming Shyue:
The conduit equation: Hyperbolic approximation and generalized Riemann problem. J. Comput. Phys. 514: 113232 (2024)- [i5]Firas Dhaouadi, Michael Dumbser, Sergey L. Gavrilyuk:
A first-order hyperbolic reformulation of the Cahn-Hilliard equation. CoRR abs/2408.03862 (2024) - 2023
- [j16]Duyen T. M. Phan, Sergey L. Gavrilyuk, Giovanni Russo:
Numerical validation of homogeneous multi-fluid models. Appl. Math. Comput. 441: 127693 (2023) - [j15]Sergey Tkachenko, Sergey L. Gavrilyuk, Jacques Massoni:
Extended Lagrangian approach for the numerical study of multidimensional dispersive waves: Applications to the Serre-Green-Naghdi equations. J. Comput. Phys. 477: 111901 (2023) - [i4]Firas Dhaouadi, Sergey L. Gavrilyuk:
An Eulerian hyperbolic model for heat transfer derived via Hamilton's principle: analytical and numerical study. CoRR abs/2305.12229 (2023) - [i3]Sergey L. Gavrilyuk, Christian Klein:
Numerical study of the Serre-Green-Naghdi equations in 2D. CoRR abs/2306.09731 (2023) - 2022
- [j14]Firas Dhaouadi, Sergey L. Gavrilyuk, Jean-Paul Vila:
Hyperbolic relaxation models for thin films down an inclined plane. Appl. Math. Comput. 433: 127378 (2022) - [i2]Sergey Tkachenko, Sergey L. Gavrilyuk, Jacques Massoni:
Extended Lagrangian approach for the numerical study of multidimensional dispersive waves: applications to the Serre-Green-Naghdi equations. CoRR abs/2203.10901 (2022) - 2021
- [j13]Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser:
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. J. Comput. Phys. 426: 109898 (2021) - [j12]Saray Busto, Michael Dumbser, Cipriano Escalante, Nicolas Favrie, Sergey L. Gavrilyuk:
On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems. J. Sci. Comput. 87(2): 48 (2021) - [j11]Saray Busto, Michael Dumbser, Sergey L. Gavrilyuk, Kseniya Ivanova:
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows. J. Sci. Comput. 88(1): 28 (2021) - 2020
- [i1]Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser:
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. CoRR abs/2002.08818 (2020)
2010 – 2019
- 2019
- [j10]Ashish Bhole, Boniface Nkonga, Sergey L. Gavrilyuk, Kseniya Ivanova:
Fluctuation splitting Riemann solver for a non-conservative modeling of shear shallow water flow. J. Comput. Phys. 392: 205-226 (2019) - 2018
- [j9]Sergey L. Gavrilyuk, Kseniya Ivanova, Nicolas Favrie:
Multi-dimensional shear shallow water flows: Problems and solutions. J. Comput. Phys. 366: 252-280 (2018) - 2017
- [j8]Kevin Schmidmayer, Fabien Petitpas, Eric Daniel, Nicolas Favrie, Sergey L. Gavrilyuk:
A model and numerical method for compressible flows with capillary effects. J. Comput. Phys. 334: 468-496 (2017) - [j7]A. A. Chesnokov, Gennady A. El, Sergey L. Gavrilyuk, Maxim V. Pavlov:
Stability Of Shear Shallow Water Flows with Free Surface. SIAM J. Appl. Math. 77(3): 1068-1087 (2017) - 2015
- [j6]Serge Ndanou, Nicolas Favrie, Sergey L. Gavrilyuk:
Multi-solid and multi-fluid diffuse interface model: Applications to dynamic fracture and fragmentation. J. Comput. Phys. 295: 523-555 (2015) - 2014
- [j5]Nicolas Favrie, Sergey L. Gavrilyuk, Serge Ndanou:
A thermodynamically compatible splitting procedure in hyperelasticity. J. Comput. Phys. 270: 300-324 (2014) - 2012
- [j4]Nicolas Favrie, Sergey L. Gavrilyuk:
Diffuse interface model for compressible fluid - Compressible elastic-plastic solid interaction. J. Comput. Phys. 231(7): 2695-2723 (2012) - 2010
- [j3]Olivier Le Métayer, Sergey L. Gavrilyuk, Sarah Hank:
A numerical scheme for the Green-Naghdi model. J. Comput. Phys. 229(6): 2034-2045 (2010)
2000 – 2009
- 2009
- [j2]Nicolas Favrie, Sergey L. Gavrilyuk, Richard Saurel:
Solid-fluid diffuse interface model in cases of extreme deformations. J. Comput. Phys. 228(16): 6037-6077 (2009) - 2008
- [j1]Sergey L. Gavrilyuk, Nicolas Favrie, Richard Saurel:
Modelling wave dynamics of compressible elastic materials. J. Comput. Phys. 227(5): 2941-2969 (2008)
Coauthor Index
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