Title
Solving Vlasov-Maxwell equations in singular geometries
Abstract
This paper is devoted to the solution of the time-dependent Vlasov-Maxwell equations in singular geometries, i.e. when the boundary includes reentrant corners or edges. Indeed, computing the electromagnetic fields in this case is a challenge per se, as these geometrical singularities generate very strong solutions in their neighborhood. Moreover, they have also an influence over the solution of the Vlasov equation, through the coupling. We propose here a method to solve this problem, illustrated by numerical examples.
Year
DOI
Venue
2008
10.1016/j.matcom.2007.09.015
Mathematics and Computers in Simulation
Keywords
Field
DocType
52.65.d,reentrant corner,07.05.tp,geometrical singularity,maxwell equations,singular geometries,computer simulation,52.65.rr,strong solution,vlasov-maxwell equation,singularities,electromagnetic field,numerical example,02.70 − c,vlasov equation,maxwell equation
Plasma modeling,Coupling,Vlasov equation,Mathematical analysis,Singular solution,Electromagnetic field solver,Gravitational singularity,Electromagnetic field,Mathematics,Maxwell's equations
Journal
Volume
Issue
ISSN
79
4
Mathematics and Computers in Simulation
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Franck Assous1139.38
Patrick Ciarlet, Jr2604.89