Maxime Stauffert

Maxime Stauffert
Atomic Energy and Alternative Energies Commission | CEA · Centre d'Etudes de Saclay

PhD in Applied Mathematics

About

7
Publications
348
Reads
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19
Citations
Additional affiliations
December 2019 - present
Atomic Energy and Alternative Energies Commission
Position
  • Engineer
December 2018 - October 2019
National Institute for Research in Computer Science and Control
Position
  • PostDoc Position
Education
September 2015 - September 2018
Université de Versailles Saint-Quentin
Field of study
  • Applied Mathematics
September 2014 - June 2015
Ecole normale supérieure de Cachan
Field of study
  • Applied Mathematics
September 2013 - June 2015
École normale supérieure de Rennes
Field of study
  • Mathematics

Publications

Publications (7)
Chapter
We are interested in the numerical approximation of the shallow water equations in two space dimensions. We propose a well-balanced, all-regime, and positive scheme. Our approach is based on a Lagrange-projection decomposition which allows to naturally decouple the acoustic and transport terms.
Preprint
Full-text available
In this work, we focus on the numerical approximation of the shallow water equations in two space dimensions. Our aim is to propose a well-balanced, all-regime and positive scheme. By well-balanced, it is meant that the scheme is able to preserve the so-called lake at rest smooth equilibrium solutions. By all-regime, we mean that the scheme is able...
Thesis
Full-text available
In this thesis we study a family of numerical schemes solving the shal- low water equations system. These schemes use a Lagrange-projection like splitting operator technique in order to separate the gravity waves and the transport waves. An implicit-explicit treatment of the acoustic system (linked to the gravity waves) allows the schemes to stay s...
Conference Paper
This work considers the barotropic Euler equations and proposes a high-order conservative scheme based on a Lagrange-Projection decomposition. The high-order in space and time are achieved using Discontinuous Galerkin (DG) and Runge-Kutta (RK) strategies. The use of a Lagrange-Projection decomposition enables the use of time steps that are not cons...
Article
Full-text available
This work focuses on the numerical approximation of the Shallow Water Equations (SWE) using a Lagrange-Projection type approach. We propose to extend to this context recent implicit-explicit schemes developed in the framework of compressibleflows, with or without stiff source terms. These methods enable the use of time steps that are no longer cons...

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