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|
|Deposited By:||Morgane Steins|
|Deposited On:||23 sept. 2020 10:49|
|Dernière modification:||23 sept. 2020 10:49|
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