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

• Autores: Fanhai Zeng, Heping Ma, Dong Liang
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 265, Nº 1, 2014, págs. 301-321
• Idioma: inglés
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• Resumen

  • In this paper, the energy-conserved splitting Legendre Galerkin method and energyconserved 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