An energy- and charge-conserving, nonlinearly implicit, electromagnetic 1D-3V Vlasov-Darwin particle-in-cell algorithm
@article{Chen2013AnEA, title={An energy- and charge-conserving, nonlinearly implicit, electromagnetic 1D-3V Vlasov-Darwin particle-in-cell algorithm}, author={Guangye Chen and Luis Chac{\'o}n}, journal={Comput. Phys. Commun.}, year={2013}, volume={185}, pages={2391-2402} }
40 Citations
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References
SHOWING 1-10 OF 60 REFERENCES
An energy- and charge-conserving, implicit, electrostatic particle-in-cell algorithm
- PhysicsJ. Comput. Phys.
- 2011
An analytical particle mover for the charge- and energy-conserving, nonlinearly implicit, electrostatic particle-in-cell algorithm
- PhysicsJ. Comput. Phys.
- 2013
Fluid preconditioning for Newton-Krylov-based, fully implicit, electrostatic particle-in-cell simulations
- Computer ScienceJ. Comput. Phys.
- 2014
A charge- and energy-conserving implicit, electrostatic particle-in-cell algorithm on mapped computational meshes
- PhysicsJ. Comput. Phys.
- 2013
The Darwin Direct Implicit Particle-in-Cell (DADIPIC) Method for Simulation of Low Frequency Plasma Phenomena
- Physics
- 1995
We describe a new algorithm for simulating low frequency, kinetic phenomena in plasmas. Darwin direct implicit particle-in-cell (DADIPIC), as its name implies, is a combination of the Darwin and…
An efficient mixed-precision, hybrid CPU-GPU implementation of a nonlinearly implicit one-dimensional particle-in-cell algorithm
- Computer ScienceJ. Comput. Phys.
- 2012
CELEST1D: an implicit, fully kinetic model for low-frequency, electromagnetic plasma simulation
- Physics
- 1992
Implicit adaptive grid plasma simulation
- Physics
- 1997
In a plasma simulation, the nonlinear interactions among the charged particles and the fields they generate are calculated by solving particle equations of motion self- consistently with Maxwell`s…