Energy-conserved splitting spectral methods for two dimensional Maxwell’s equations

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摘要

In this paper, the energy-conserved splitting Legendre Galerkin method and energy-conserved splitting Legendre collocation method for Maxwell’s equations in two dimensions are proposed. The schemes are energy-conserved, unconditionally stable, and can be implemented efficiently. The both methods are of second-order convergence in time. The high order error estimates in space for the two methods are also obtained. For the EC-S-LC method, an identity of the discrete divergence of electric fields is also obtained. Numerical examples are provided to confirm the theoretical analysis.

论文关键词:65N12,65N35,Maxwell’s equations,Energy-conserved splitting,Legendre Galerkin and collocation

论文评审过程:Received 21 November 2012, Revised 3 June 2013, Available online 5 October 2013.

论文官网地址:https://doi.org/10.1016/j.cam.2013.09.048