Rapport Année : 2013

Discrete maximum principle for a space-time least squares formulation of the transport equation with finite element.

Résumé

Finite element methods are known to produce spurious oscillations when the transport equation is solved. In this paper, a variational formulation for the transport equation is proposed, and by introducing a positivity constraint combined with a penalization of the total variation of the solution, a discrete maximum principle is verified for lagrange first order finite element methods. Moreover, the oscillations are cancelled.

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hal-00835513 , version 1 (19-06-2013)

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  • HAL Id : hal-00835513 , version 1

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Kadidja Benmansour, Elie Bretin, Loic Piffet, Jérôme Pousin. Discrete maximum principle for a space-time least squares formulation of the transport equation with finite element.. 2013. ⟨hal-00835513⟩
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