显式分裂方法在激光等离子体相互作用模拟中的收敛性分析
Convergence analysis of an explicit splitting method for laser plasma interaction simulations
AI总结：
本文分析了用于求解描述激光等离子体相互作用的Vlasov-Maxwell系统的三分裂方法的收敛性，通过改进方法获得二阶收敛方案。
摘要：
本文分析了T.Tückmantel等人[IEEE Transactions on Plasma Science, 38(9):2383--2389, 2010]提出的三分裂方法在求解简单Vlasov-Maxwell系统中的收敛性。对于经典显式积分器而言，大密度参数会限制时间步长以保证积分稳定性。三分裂方法包含指数积分器作为其核心组件，专门设计用于描述激光等离子体相互作用的系统，克服了这一限制。我们对原始方法的稍作扩展版本进行了严格分析，从而能够识别出原始方案的改进，以获得二阶收敛的方案。
英文摘要：
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.
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