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# Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning

@article{Jacobs2009ImplicitexplicitTI, title={Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning}, author={G. B. Jacobs and Jan S. Hesthaven}, journal={Computer Physics Communications}, year={2009}, volume={180}, pages={1760-1767} }

- Published 2009 in Computer Physics Communications
DOI:10.1016/j.cpc.2009.05.020

A high-order implicit-explicit additive Rung-Kutta time integrator is implemented in a particle-in-cell method based on a high-order discontinuous Galerkin Maxwell solver for simulation of plasmas. The method satisfies Gauss law using a hyperbolic divergence cleaner that transports divergence out of the computational domain at several times the speed of light. The stiffness in the field equations induced by high transport speeds is alleviated by an implicit time integration, while an explicit… CONTINUE READING

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