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High-Order Scheme for a Nonlinear Maxwell System Modelling Kerr Effect |
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| Authors: | Armel de La Bourdonnaye |
| Institution: | Ecole Nationale des Ponts et Chaussees-INRIA, CERMICS, BP93, Sophia Antipolis Cedex, 06902, France |
| Abstract: | This paper is devoted to the derivation of an efficient numerical scheme for the Kerr–Maxwell system. We begin by studying the 1-D Riemann problem. We obtain a result of existence and uniqueness for large data. Then we develop a high-order Roe solver and exhibit solutions in 1-D and 2-D simulations. |
| Keywords: | Abbreviations: Maxwell systemAbbreviations: Kerr effectAbbreviations: quasilinear systemAbbreviations: hyperbolicityAbbreviations: Godunov solverAbbreviations: Roe solverAbbreviations: filamentation |
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