A high order semi-Lagrangian discontinuous Galerkin method for Vlasov–Poisson simulations without operator splitting

• Published in: Journal of computational physics Vol. 354; pp. 529 - 551
• Main Authors: Cai, Xiaofeng, Guo, Wei, Qiu, Jing-Mei
• Format: Journal Article
• Language: English
• Published: Cambridge Elsevier Inc 01.02.2018; Elsevier Science Ltd
• Subjects: Computational physics; Discontinuous Galerkin; Galerkin method; Landau damping; Mass conservative; Non-splitting; Numerical analysis; Positivity-preserving; Probability distribution; Runge-Kutta method; Semi-Lagrangian; Simulation; Splitting; Vlasov–Poisson; Non-splitting; Discontinuous Galerkin; Positivity-preserving; Semi-Lagrangian; Vlasov–Poisson; Mass conservative

•The semi-Lagrangian discontinuous Galerkin (SLDG) method for the Vlasov–Poisson (VP) system has several desired properties.•It is locally mass conservative, highly accurate, free of splitting error and allows for extra large time stepping size.•To the best of authors' knowledge, this is the fi...