by Schieweck, F..

**Series:** 1999-36, Preprints

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

**Abstract:**

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.

**Keywords:**

nonconforming and conforming f