scholarly journals Asymptotic Preserving Schemes on Distorted Meshes for Friedrichs Systems with Stiff Relaxation: Application to Angular Models in Linear Transport

2014 ◽  
Vol 62 (2) ◽  
pp. 371-398 ◽  
Author(s):  
Christophe Buet ◽  
Bruno Després ◽  
Emmanuel Franck
Keyword(s):  
Asymptotic Preserving ◽  
Linear Transport ◽  
Asymptotic Preserving Schemes ◽  
Stiff Relaxation ◽  
Friedrichs Systems

scholarly journals An asymptotic preserving method for the linear transport equation on general meshes

2021 ◽  
pp. 110859
Author(s):  
Pierre Anguill ◽  
Patricia Cargo ◽  
Cedric Énaux ◽  
Philippe Hoch ◽  
Emmanuel Labourasse ◽  
...  
Keyword(s):  
Transport Equation ◽  
Asymptotic Preserving ◽  
Linear Transport ◽  
Linear Transport Equation ◽  
General Meshes

scholarly journals TWO-SCALE MACRO–MICRO DECOMPOSITION OF THE VLASOV EQUATION WITH A STRONG MAGNETIC FIELD

2013 ◽  
Vol 23 (08) ◽  
pp. 1527-1559 ◽  
Author(s):  
NICOLAS CROUSEILLES ◽  
EMMANUEL FRÉNOD ◽  
SEVER A. HIRSTOAGA ◽  
ALEXANDRE MOUTON
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Vlasov Equation ◽  
Asymptotic Preserving ◽  
Asymptotic Preserving Schemes ◽  
Starting Point ◽  
Oscillating Functions ◽  
Scale Limit

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 circumscribed 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.

scholarly journals Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations

2012 ◽  
Vol 82 (282) ◽  
pp. 831-860 ◽  
Author(s):  
Christophe Berthon ◽  
Philippe G. LeFloch ◽  
Rodolphe Turpault
Keyword(s):  
Hyperbolic Equations ◽  
Late Time ◽  
Asymptotic Preserving ◽  
Stiff Relaxation
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