Finite element approximation of Maxwell eigenproblems on curved Lipschitz polyhedral domains

• Autores: Anahí Dello Russo, Ana Alonso
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 59, Nº. 8, 2009, págs. 1796-1822
• Idioma: inglés
• DOI: 10.1016/j.apnum.2009.01.007
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• Resumen

  • This paper deals with the finite element approximation of the spectral problem for the Maxwell equation on a curved non-convex Lipschitz polyhedral domain ?. Convergence and optimal order error estimates are proved for the lowest order edge finite element space of Nédélec on a tetrahedral mesh of approximate domains ?hnot a subset of?. These convergence results are based on the discrete compactness property which is proved to hold true also in this case.