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On a Superconvergence Result for Mixed Approximation of Eigenvalue Problems

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Numerical Mathematics and Advanced Applications

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Abstract

We state a superconvergence result for the lowest order Raviart-Thomas approximation of eigenvalue problems. Numerical experiments confirm the superconvergence property and suggest that it holds also for the lowest order Brezzi-Douglas- Marini approximation.

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Author information

Authors and Affiliations

  1. Department of Numerical Analysis, Universität Ulm, Helmholtzstr. 18, D-89069, Ulm, Germany

    Francesca Gardini

Authors
  1. Francesca Gardini
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Editors and Affiliations

  1. Departamento de Matemática Aplicada Facultade de Matemáticas, Universidade de Santiago de Compostela, 15706, Santiago de Compostela, Spain

    Alfredo Bermúdez de Castro , Dolores Gómez  & Peregrina Quintela ,  & 

  2. Departamento de Matématica Aplicada, Escola Politécnica Superior, 27002, Lugo, Spain

    Pilar Salgado

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Gardini, F. (2006). On a Superconvergence Result for Mixed Approximation of Eigenvalue Problems. In: de Castro, A.B., Gómez, D., Quintela, P., Salgado, P. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34288-5_17

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