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arXiv · 1111.1506

Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field

Nicolas Crouseilles·Emmanuel Frenod·Sever Hirstoaga·Alexandre Mouton
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Abstract

In this paper, we build a Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field. This consists in writing the solution of this equation as a sum of two oscillating functions with circonscribed oscillations. The first of these functions has a shape which is close to the shape of the Two-Scale limit of the solution and the second one is a correction built to offset this imposed shape. The aim of such a decomposition is to be the starting point for the construction of Two-Scale Asymptotic-Preserving Schemes.

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Nicolas Crouseilles, Emmanuel Frenod, Sever Hirstoaga, Alexandre Mouton. 2011-11-07. Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field. https://arxiv.org/abs/1111.1506

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