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Implicit Schemes for the Fokker--Planck--Landau Equation

✍ Scribed by Lemou, Mohammed; Mieussens, Luc

Book ID
118189941
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
337 KB
Volume
27
Category
Article
ISSN
1064-8275

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Conservativity and complete conservativity of finite difference schemes are considered in connection with the nonlinear kinetic Landau-Fokker-Planck equation. The characteristic feature of this equation is the presence of several conservation laws. Finite difference schemes, preserving density and e

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We present a class of asymptotic-preserving (AP) schemes for the nonhomogeneous Fokker-Planck-Landau (nFPL) equation. Filbet and Jin [16] designed a class of AP schemes for the classical Boltzmann equation, by penalization with the BGK operator, so they become efficient in the fluid dynamic regime.

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