One important model for rarefied
plasmas is the Vlasov-Maxwell system,
and many numerical schemes designed for this problem combine a Finite
Element solver for the Maxwell system with a Particle (PIC) solver for
the Vlasov equation.
Unfortunately, the conservation of charge which is a fundamental (and physical) property
of the continuous model, is usually lost in these schemes.
In this talk I will show how to derive from the continuous level a natural formulation for
the discrete coupling between the solvers, yielding charge conserving schemes.
Since the formulation is new, some practical hints for an efficient coding will also be given.
CERMICS, École Nationale des Ponts et Chaussées
6 et 8 avenue Blaise Pascal
Cité Descartes - Champs sur Marne
77455 Marne la Vallée Cédex 2
Tél : 01 64 15 36 63
Fax : 01 64 15 35 86
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