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Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations
R. W. Hockney and J. W. Eastwood, Computer Simulation Using Particles ( Institute of Physics Publishing, Bristol, 1988).
C. K. Birdsall and A. B. Langdon, Plasma Physics Via Computer Simulation ( Adam Hilger, Bristol, CRC press, 2004).
K. Feng, in Proceedings of the 1984 Beijing Symposium on Differential Geometry and Differential Equations, edited by K. Feng ( Science Press, 1985), pp. 42–58.
K. Feng and M. Qin, Symplectic Geometric Algorithms for Hamiltonian Systems ( Springer-Verlag, 2010).
E. Hairer, C. Lubich, and G. Wanner, Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations ( Springer, New York, 2003).
M. Kraus, “ Variational integrators in plasma physics,” Ph.D. thesis, Technical University of Munich, 2014.
H. Qin, J. Liu, J. Xiao, R. Zhang, Y. He, Y. Wang, Y. Sun, J. W. Burby, L. Ellison, and Y. Zhou, Nucl. Fusion 56, 014001 (2016).
P. J. Olver, Applications of Lie Groups to Differential Equations ( Springer-Verlag, New York, 1993).
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In this paper, we study the Vlasov-Maxwell equations based on the Morrison-Marsden-Weinstein bracket. We develop Hamiltonian particle-in-cell methods for this system by employing finite element methods in space and splitting methods in time. In order to derive the semi-discrete system that possesses a discrete non-canonical Poisson structure, we present a criterion for choosing the appropriate finite element spaces. It is confirmed that some conforming elements, e.g., Nédélec's mixed elements, satisfy this requirement. When the Hamiltonian splitting method is used to discretize this semi-discrete system in time, the resulting algorithm is explicit and preserves the discrete Poisson structure. The structure-preserving nature of the algorithm ensures accuracy and fidelity of the numerical simulations over long time.
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