Convergence analysis of an explicit splitting method for laser plasma interaction simulations
For computational plasma physicists, this work provides a rigorous convergence analysis and improved scheme for simulating laser plasma interactions with overdense plasmas.
The paper analyzes the convergence of a triple splitting method for Vlasov-Maxwell systems in laser plasma interactions, identifying modifications to achieve second-order convergence.
Convergence of a triple splitting method originally proposed by T. Tückmantel,et.al. [IEEE Transactions on Plasma Science, 38(9):2383--2389, 2010] for the solution of a simple Vlasov-Maxwell system, that describes laser plasma interactions with overdense plasmas, is analyzed. For classical explicit integrators it is the large density parameter that would impose a restriction on the time step size to make the integration stable. The triple splitting method contains an exponential integrator in its central component and was specifically designed for systems that describe laser plasma interactions and overcomes this restriction. We rigorously analyze a slightly generalized version of the original method. This analysis enables us to identify modifications of the original scheme, such that a second order convergent scheme is obtained.