Superconvergence by Steklov averaging in the finite element method
Volume 32 / 2005
Applicationes Mathematicae 32 (2005), 477-488
MSC: Primary 65N30.
DOI: 10.4064/am32-4-8
Abstract
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.
