A Time-Domain Finite Element Scheme and Its Analysis for Nonlinear Maxwell's Equations in Kerr Media
Journal of Computational Physics
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The purpose of this paper is to develop and analyze a finite element method for solving the time-dependent Maxwell's equations in nonlinear Kerr media. The proposed fully-discrete scheme is proved to be conditionally stable and optimally convergent in the spatial variable and second order in time. Numerical results are presented to support our theoretical analysis and also to demonstrate the practical soliton propagation phenomena in Kerr media.
Kerr media; Maxwell's equations; Nonlinear media; Soliton propagation; Time-domain finite element method
Numerical Analysis and Computation
A Time-Domain Finite Element Scheme and Its Analysis for Nonlinear Maxwell's Equations in Kerr Media.
Journal of Computational Physics, 435