Artificial boundary conditions for numerical modeling of electron oscillations in plasma

The behavior of the functions describing the relativistic breaking effect of plane one-dimensional electron plasma oscillations is studied by asymptotic methods. The obtained formulas generate various forms of artificial boundary conditions which analyzed by numerical experiments. A special combination of the proposed boundary conditions is used to simulate the breaking effect in the spatially two-dimensional case. A part of computation was performed on the “Chebyshev” Moscow University supercomputer system.