Steins, Morgane (2020) Final year internship report: HHO methods (Hybrid High Order) for the Acoustic Wave Equation PFE - Project Graduation, ENSTA.



Here I present the Hybrid High Order method and its use for the numerical resolution of the acoustic wave equation. A thorough description of the HHO method is given in the context of the stationary diffusion problem. I also review the different possible time discretizations for the acoustic wave equation and offer a comparison of first and second order formulations. I then develop demonstrations of an estimation for the error in the energy- and the L 2 -norm, inspired by the stationary results and the Discontinuous Galerkin methodology. I finally compare these theoretical expectations to the numerical simulations of a Python generic code on a two-dimensional Cartesian mesh.

Item Type:Thesis (PFE - Project Graduation)
Uncontrolled Keywords:Equation de diffusion stationnaire
Subjects:Mathematics and Applications
ID Code:8231
Deposited By:Morgane Steins
Deposited On:23 sept. 2020 10:49
Dernière modification:23 sept. 2020 10:49

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