Numerical methods, Vlasov–Maxwell equations, ﬁnite element meth-
ods, PIC code
Accurate charged particle beam simulations are desired for modelling
plasma physics problems or for designing microwave/accelarator
technology devices. In complicated geometries, it might be preferable
to use unstructured grids, for example, to be able to select between
several issues in the design of high-power microwave devices. In
this framework, we have proposed a numerical method for solving
the three-dimensional time-dependent Vlasov–Maxwell equations on
unstructured grids, based on a continuous Galerkin approximation.
In this paper, we present numerical results obtained on characteristic
three-dimensional applications: an open electromagnetic problem
without any particle coupling and a microwave device example.