Vlasov-Maxwell simulations in singular geometries

Authors:
Franck Assous;Patrick Ciarlet, Jr.
Affiliations:
Bar-Ilan University, Ramat-Gan, Israel;ENSTA, Paris Cedex
Venue:
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part IV
Year:
2006

Citing 4
Cited 0

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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.