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

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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Journal articles
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2013, 23 (08), pp.1527--1559. <10.1142/S0218202513500152.>


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Submitted on : Monday, November 5, 2012 - 10:40:07 AM
Last modification on : Friday, March 27, 2015 - 10:01:23 AM

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Nicolas Crouseilles, Emmanuel Frenod, Sever Adrian Hirstoaga, Alexandre Mouton. Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2013, 23 (08), pp.1527--1559. <10.1142/S0218202513500152.>. <hal-00638617v3>

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