Gasilov, V. A.; Kartasheva, E. L.; Olkhovskaya, O. G. A grid-projectional method of self-consistent electron beams simulation. (Russian. English summary) Zbl 1018.78007 Mat. Model. 14, No. 12, 85-97 (2002). In problems of planning and analysis of physical experiments in impulse energetics it is necessary to investigate motion of high-power electron beams inside of technological apparatus. For all that it is required to take into account both the nonlinear processes of self-consistence of the beam dynamics in an electromagnetic field and a geometrical shape of the objects. On the base of Galerkin’s method a numerical algorithm appropriate to a simulation of the propagation of high-energetic relativistic electron beams in technological devices is developed. A direct solution of the Vlasov-Maxwell system of equations by means of its approximation using a fixed grid mesh in the phase space is the base of the algorithm. An hierarchy of the discrete models – 1D, 1,5D, 2D – is proposed and the corresponding conservative grid-projectional schemes are constructed and investigated. Some numerical results are presented which show a good accuracy of the algorithm. Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 78M25 Numerical methods in optics (MSC2010) 78A35 Motion of charged particles 81V10 Electromagnetic interaction; quantum electrodynamics 78A25 Electromagnetic theory (general) Keywords:electron beams; grid-projectional method PDFBibTeX XMLCite \textit{V. A. Gasilov} et al., Mat. Model. 14, No. 12, 85--97 (2002; Zbl 1018.78007) Full Text: MNR