A Superconvergence result for mixed finite element approximations of the eigenvalue problem∗

Qun Lin; Hehu Xie

Displaying similar documents to “A Superconvergence result for mixed finite element approximations of the eigenvalue problem∗”

A Superconvergence result for mixed finite element approximations of the eigenvalue problem

Qun Lin, Hehu Xie (2012)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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In this paper, we present a superconvergence result for the mixed finite element approximations of general second order elliptic eigenvalue problems. It is known that a superconvergence result has been given by Durán [9 (1999) 1165–1178] and Gardini [43 (2009) 853–865] for the lowest order Raviart-Thomas approximation of Laplace eigenvalue problems. In this work, we introduce a new way to derive the superconvergence of general second order elliptic eigenvalue problems by general mixed...

Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case

Paul Houston, Ilaria Perugia, Anna Schneebeli, Dominik Schötzau (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We present and analyze an interior penalty method for the numerical discretization of the indefinite time-harmonic Maxwell equations in mixed form. The method is based on the mixed discretization of the curl-curl operator developed in [Houston , (2005) 325–356] and can be understood as a non-stabilized variant of the approach proposed in [Perugia , (2002) 4675–4697]. We show the well-posedness of this approach and derive optimal error estimates in...

A family of discontinuous Galerkin mixed methods for nearly and perfectly incompressible elasticity

Yongxing Shen, Adrian J. Lew (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

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We introduce a family of mixed discontinuous Galerkin (DG) finite element methods for nearly and perfectly incompressible linear elasticity. These mixed methods allow the choice of polynomials of any order ≥ 1 for the approximation of the displacement field, and of order or − 1 for the pressure space, and are stable for any positive value of the stabilization parameter. We prove the optimal convergence of the displacement and stress...