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Analysis of Post-Processing for Nonconforming Finite Element Solutions

by Schieweck, F..

Series: 1999-36, Preprints

65N15 Error bounds
65N30 Finite elements, ~Rayleigh-Ritz and Galerkin methods, finite methods
65D05 Interpolation

For a general pair of a given nonconforming and a desired conforming
finite element space, we construct and analyze a transfer operator that
can be used for a post-processing procedure where a conforming
approximation is computed from a nonconforming finite element solution.
For this post-processing, we prove local and global estimates of the
error between the exact solution and the conforming approximation of
the nonconforming discrete solution.
Our analysis is independent of the concrete problem that has to be
solved. Applications of this analysis are discussed, in particular
in the field of a posteriori error control.

nonconforming and conforming f