Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 12, Issue 1, Pages 190-202Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2010.06.007
Keywords
Maxwell equations; Dirac equation; Laser-gas interaction; Finite element method; Hyperbolic systems
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In this paper we propose and analyze a simple but accurate numerical method for solving the Maxwell-Dirac system for relativistic particles submitted to an external ultrashort intense pulse. Maxwell's equations are solved using a second order finite element method in space and time. The Dirac equation solver is based on a method of characteristics with a P formulation of the Dirac spinor field. Numerical simulations are provided to show the efficiency of the method. (C) 2010 Elsevier Ltd. All rights reserved.
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