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ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Comparison of Vlasov solversfor spacecraft charging simulation
Nicolas Vauchelet, Jean-Paul Dudon, Christophe Besse, Thierry Goudon
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 44 / Issue 1 / January 2010

Published online by Cambridge University Press:

16 December 2009, pp. 109-131

Print publication:

January 2010
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The modelling and the numerical resolution of the electrical charging of aspacecraft in interaction with the Earth magnetosphere is considered. It involves the Vlasov-Poisson system, endowed with non standard boundary conditions. We discuss the pros and cons of several numerical methods for solving this system, using as benchmark a simple 1D model which exhibits the main difficulties of the original models.