Superconvergence by Steklov averaging in the finite element method

Volume 32 / 2005

Karel Kolman Applicationes Mathematicae 32 (2005), 477-488 MSC: Primary 65N30. DOI: 10.4064/am32-4-8


The Steklov postprocessing operator for the linear finite element method is studied. Superconvergence of order $\mathcal{O}(h^2)$ is proved for a class of second order differential equations with zero Dirichlet boundary conditions for arbitrary space dimensions. Relations to other postprocessing and averaging schemes are discussed.


  • Karel KolmanMathematical Institute
    Academy of Sciences of the Czech Republic
    Žitná 25
    115 67 Praha 1, Czech Republic

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