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Solving Vlasov–Maxwell equations in singular geometries

Author

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  • Assous, Franck
  • Ciarlet, Patrick

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.

Suggested Citation

  • Assous, Franck & Ciarlet, Patrick, 2008. "Solving Vlasov–Maxwell equations in singular geometries," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(4), pages 1078-1085.
    • Handle: RePEc:eee:matcom:v:79:y:2008:i:4:p:1078-1085
    DOI: 10.1016/j.matcom.2007.09.015
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