Title
Vlasov-Maxwell simulations 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
2006
10.1007/11758549_85
International Conference on Computational Science (4)
Keywords
Field
DocType
singular geometries,strong solution,reentrant corner,numerical example,electromagnetic field,vlasov-maxwell simulation,geometrical singularity,vlasov equation,maxwell equation
Discrete mathematics,Coupling,Vlasov equation,Mathematical analysis,Mathematical physics,Computer science,Singularity,Electromagnetism,Gravitational singularity,Electromagnetic field,Maxwell's equations,Reentrancy
Conference
Volume
ISSN
ISBN
3994
0302-9743
3-540-34385-7
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Franck Assous1139.38
Patrick Ciarlet, Jr2604.89