Reduced models for solving particle beams and plasma physics problems

Authors:
Franck Assous
Affiliations:
Ariel University Center, Department of Computer Sciences and Mathematics, Israel
Venue:
MATH'08 Proceedings of the American Conference on Applied Mathematics
Year:
2008

Citing 6
Cited 0

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A Vector Finite Element Time-Domain Method for Solving Maxwell's Equations on Unstructured Hexahedral Grids

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Abstract

In recent years, modelling and solving numerically problems which couple charged particle to electro-magnetic fields has given rise to challenging mathematical and scientific computing developments. In the industry, a variety of examples can be thought of, such as the ion or electron injectors for particle accelerators, the free electron lasers, the hyperfrequency devices, the vulnerability of spatial devices to particle flows, etc. In this paper, we are concerned with the construction of numerical methods required for solving particle beams and plasma physics applications. The main lines of this paper will treat about the analysis and the development of the reduced models. We present two situations in which this strategy can be applied. Numerical results illustrate the possibilites of the approach.