Abstract | ||
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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 Assous | 1 | 13 | 9.38 |
Patrick Ciarlet, Jr | 2 | 60 | 4.89 |