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- Christian Bataillon, F. Bouchon, Claire Chainais-Hillairet, Jürgen Fuhrmann, E. Hoarau, R. Touzani
- J. Comput. Physics
- 2012

In this paper, we design numerical methods for a PDE system arising in corrosion modeling. This system describes the evolution of a dense oxide layer. It is based on a drift–diffusion system and includes moving boundary equations. The choice of the numerical methods is justified by a stability analysis and by the study of their numerical performance.… (More)

- Marx Chhay, E. Hoarau, Aziz Hamdouni, Pierre Sagaut
- J. Comput. Physics
- 2011

Lie-symmetry based integrators are constructed in order to preserve the local invariance properties of the equations. The geometrical methods leading to discretized equations for numerical computations involve many different concepts. Therefore they give rise to numerical schemes that vary in the accuracy, in the computational cost and in the… (More)

- E. Hoarau
- 2006

A Mathematica based program has been elaborated in order to determine the symmetry group of a finite difference equation. The package provides functions which enable us to solve the determining equations of the related Lie group.

- E. Hoarau, Pierre Sagaut
- 2006

Differential equations arising in fluid mechanics are usually derived from the intrinsic properties of mechanical systems, in the form of conservation laws, and bear symmetries, which are not generally preserved by a finite difference approximation, and leading to inaccurate numerical results. This paper proposes a method that enables us to build a scheme… (More)

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