Variational eigenvalue approximation of non-coercive operators with application to mixed formulations in elasticity

• Salim Meddahi ^[1]
  1. [1] Universidad de Oviedo

     Universidad de Oviedo

     Oviedo, España

     
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 79, Nº. Extra 1, 2022, págs. 139-164
• Idioma: inglés
• DOI: 10.1007/s40324-021-00279-6
• Texto completo no disponible (Saber más ...)
• Resumen

  • We present an abstract framework for the eigenvalue approximation of a class of noncoercive operators. We provide sufficient conditions to guarantee the spectral correctness of the Galerkin scheme and to obtain optimal rates of convergence. The theory is applied to the convergence analysis of mixed finite element approximations of the elasticity and Stokes eigensystems