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A 2-D Vlasov-Maxwell solver on unstructured meshes. (English) Zbl 0874.76061
Cohen, Gary (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the third international conference, Mandelieu-La Napoule, France, April 24–28, 1995. Philadelphia, PA: Society for Industrial and Applied Mathematics. 355-371 (1995).
Summary: We present a method for solving the Vlasov-Maxwell system. We propose a new constrained formulation of the Maxwell equations in order to better satisfy the divergence conditions $$\text{div} B=0$$, $$\text{div} {\mathbf E} ={\rho\over \varepsilon_0}$$. The electromagnetic field is approximated using a finite volume method, and the Vlasov equation is solved by a particle method. Some numerical test cases are presented.
For the entire collection see [Zbl 0846.00038].

MSC:
 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76X05 Ionized gas flow in electromagnetic fields; plasmic flow