Fast nonlinear iterative solver for an implicit, energy-conserving, asymptotic-preserving charged-particle orbit integrator

DOI10.1016/j.jcp.2022.111146OpenAlexW4221039845MaRDI QIDQ2137949

L. F. Ricketson, Guangye Chen, Oleksandr Koshkarov, Luis Chacón

Publication date: 11 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111146

zbMATH Keywords

particle-in-cellimplicit methodsAitken iterationasymptotic-preserving methodsPicard solver

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) General topics in optics and electromagnetic theory (78Axx)

Related Items (2)

An implicit particle code with \textit{exact} energy and charge conservation for electromagnetic studies of dense plasmas ⋮ An implicit, conservative and asymptotic-preserving electrostatic particle-in-cell algorithm for arbitrarily magnetized plasmas in uniform magnetic fields

Cites Work

• An energy- and charge-conserving, nonlinearly implicit, electromagnetic 1D-3V Vlasov-Darwin particle-in-cell algorithm
• An energy- and charge-conserving, implicit, electrostatic particle-in-cell algorithm
• The energy conserving particle-in-cell method
• Principles and capabilities of 3-D, E-M particle simulations
• Accurate numerical solution of charged particle motion in a magnetic field
• An energy-conserving and asymptotic-preserving charged-particle orbit implicit time integrator for arbitrary electromagnetic fields
• A multi-dimensional, energy- and charge-conserving, nonlinearly implicit, electromagnetic Vlasov-Darwin particle-in-cell algorithm
• A charge- and energy-conserving implicit, electrostatic particle-in-cell algorithm on mapped computational meshes
• Asymptotically Stable Particle-In-Cell Methods for the Vlasov--Poisson System with a Strong External Magnetic Field
• Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas
• A version of the Aitken accelerator for computer iteration

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