Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 435, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2021.110259
Keywords
Maxwell's equations; Kerr media; Soliton propagation; Nonlinear media; Time-domain finite element method
Funding
- National Natural Science Foundation of China (NSFC) [11971410]
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This paper introduces a finite element method for solving the time-dependent Maxwell's equations in nonlinear Kerr media. The fully-discrete scheme is shown to be conditionally stable in the spatial variable and second order in time. Numerical results support the theoretical analysis and demonstrate practical soliton propagation phenomena in Kerr media.
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. (c) 2021 Elsevier Inc. All rights reserved.
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