Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas

• Published in: Numerische Mathematik Vol. 149; no. 3; pp. 549 - 593
• Main Authors: Filbet, Francis, Rodrigues, L. Miguel, Zakerzadeh, Hamed
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2021; Springer Nature B.V; Springer Verlag
• Subjects: Asymptotic properties; Convergence; Discretization; Larmor radius; Mathematical and Computational Engineering; Mathematical and Computational Physics; Mathematical Methods in Physics; Mathematics; Mathematics and Statistics; Numerical Analysis; Numerical and Computational Physics; Particle in cell technique; Plasma frequencies; Plasmas (physics); Simulation; Stiffness; Theoretical; Vlasov equations; 65M15; 65L04; 82D10; 35Q83; 65M75; Vlasov-Poisson system; High-order time discretization; Asymptotic preserving schemes; Homogeneous magnetic field; Particle methods

The present paper is devoted to the convergence analysis of a class of asymptotic preserving particle schemes (Filbet and Rodrigues in SIAM J. Numer. Anal. 54(2):1120–1146, 2016) for the Vlasov equation with a strong external magnetic field. In this regime, classical Particle-in-Cell methods are sub...