Symplectic splitting energy-conserved pseudospectral methods for 3D Maxwells equations

来源 :4th International Conference on Numerical Analysis of Differ | 被引量 : 0次 | 上传用户:mzt1989
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  In this talk,two new symplectic energy-conserved pseudospectral methods for solving 3D Maxwells equations are proposed.The new methods are based on the time splitting technique that decomposes the 3D Maxwells equations into a series of 1D subsys tems.Furthermore,additional two non-symplectic energy-conserved pseudospectral methods are also proposed.All the proposed methods preserve four discrete energy conservation laws simultaneously and are unconditionally stable.The error estimates of all proposed methods are derived.The proposed methods are efficient due to only 1D problem is needed to be solved at each stage.Numerical experiments have confirmed the theoretical analysis.The accuracv of the divergence of the four methods are also tested numerically.
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