Mehmet Ersoy
- Institut de Mathématiques de Toulon - EA 2134 (IMATH)
- Université de Toulon (UTLN)
Présentation
Publications
Publications
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Runge-Kutta Discontinuous Galerkin Method Applied to Shallow Water EquationsTopical Problems of Fluid Mechanics 2023, Feb 2023, Prague (République Tchèque), Czech Republic. pp.152-159, ⟨10.14311/TPFM.2023.021⟩ |
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Adaptive Discontinuous Galerkin Method for Richards EquationTopical Problems of Fluid Mechanics 2020, Feb 2020, Prague, Czech Republic. pp.27-34, ⟨10.14311/TPFM.2020.004⟩ |
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Discontinuous Galerkin Method for Steady-State Richards EquationTopical Problems of Fluid Mechanics 2019, Feb 2019, Prague, Czech Republic. pp.53-62, ⟨10.14311/TPFM.2019.008⟩ |
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Entropy production and mesh refinement – application to wave breaking21ème Congrès Français de Mécanique, Aug 2013, Bordeaux, France. ⟨10.1051/meca/2015003⟩ |
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Dimension reduction for incompressible pipe and open channel flow including frictionConference Applications of Mathematics 2015, in honor of the 90th birthday of Ivo Babuška and 85th birthday of Milan Práger and Emil Vitásek , J. Brandts and S. Korotov and M. Křížek and K. Segeth and J. Ŝístek and T. Vejchodský, Nov 2015, Institute of Mathematics CAS, Prague, France. pp.17-33 |
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Entropy production as a mesh refinement criterion: application to wave breakingTopical Problems of Fluid Mechanics, Feb 2013, Prague, Czech Republic |
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Numerical simulation of flows in unsaturated porous media by an adaptive discontinuous Galerkin method: application to La Verne damTopical Problems of Fluid Mechanics 2022, Feb 2022, Prague, Czech Republic. 2022 |
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A Generalised Serre-Green-Naghdi equations for variable rectangular open channel hydraulics and its finite volume approximationMuñoz-Ruiz M.L., Parés C., Russo G. (eds) Recent Advances in Numerical Methods for Hyperbolic PDE Systems. SEMA SIMAI Springer Series, vol 28. Springer, 2021, 978-3-030-72850-2. ⟨10.1007/978-3-030-72850-2_11⟩ |
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A Hydrostatic-Reconstruction-Free Well-Balanced DG Scheme for the Shallow Water Equations2026 |
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Existence, Uniqueness, and Numerical Simulation of the Richards Equation2026 |
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Local existence and uniqueness of strong solutions to the three-dimensional compressible primitive equations2026 |
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Adaptive mesh refinement methods with automatic thresholding: theory, algorithm and application to tsunami propagation2026 |
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A Coupled Saint-Venant-Exner Model with Threshold Erosion Law : Mathematical Formulation and Numerical Approximation2026 |
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Adaptive mesh refinement method. Part 1: Automatic thresholding based on a distribution functionUniversité de Toulon (UTLN), FRA.; IMATH. 2019 |
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Adaptive mesh refinement method. Part 2: Application to tsunamis propagationUniversité de Toulon (UTLN), FRA.; IMATH. 2019 |
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Consistency of the kinetic scheme with reflections[Research Report] IMATH; Université de Toulon (UTLN), FRA. 2013 |
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Adaptive scheme based on entropy production: robustness through severe test cases for hyperbolic conservation laws[Research Report] Imath; Université de Toulon (UTLN), FRA. 2013 |
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A Construction of Biorthogonal Wavelets With a Compact Operator[Research Report] Université de Savoie. 2009 |
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Modélisation, analyse mathématique et numérique de divers écoulements compressibles ou incompressibles en couche mince.Mathématiques [math]. Université de Savoie, 2010. Français. ⟨NNT : ⟩ |
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From hydrostatic to non-hydrostatic models in fluid mechanics: modeling, mathematical and numerical analysis, and computational fluid dynamicsNumerical Analysis [math.NA]. Université De Toulon, 2020 |