2012/01/12 by Jürgen Geiser, Geiser, Juergen, Thomas Zacher +1
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Gas Dynamics and Kinetic Theory #Advanced Numerical Methods in Computational Mathematics
paper · pdf · doi:10.48550/arxiv.1201.2522
In this paper we present a model based on dynamics of the electrons in the plasma using a simplified Boltzmann equation coupled with a Poisson equation. The motivation arose to simulate active plasma resonance spectroscopy which is used for plasma diagnostic techniques, see [Braith2009]. We are interested on designing splitting methods to the model problem. First we reduce to a simplified transport equation and start to analyze the abstract Cauchy problem based on semi-groups. Second we extent to the coupled transport and kinetic model and apply the splitting ideas. The results are discussed with first numerical experiments to give discuss the numerical methods.