Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem (Q623281)

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scientific article; zbMATH DE number 5851368
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Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem
scientific article; zbMATH DE number 5851368

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    Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem (English)
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    14 February 2011
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    The authors consider the classical 2D second-order elliptic eigenvalue problem and suggest a postprecessing scheme in order to improve the convergence rate of the lowest order Raviart-Thomas mixed finite element method. Their convergence results seem to refer only to the first eigenpair.
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    second-order elliptic eigenvalue problem
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    Raviart-Thomas element
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    Rayleigh quotient
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    supercloseness
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    postprocessing
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    first eigenpair
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    mixed finite element method
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    convergence
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