MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Fixing a ''Bug'' in Recovery-Type A Posteriori Error Estimators

Jeffrey Ovall


Gradient recovery methods for a posteriori error estimation in the finite element method are justifiably popular. They are relatively simple to implement, cheap in terms of storage and computational cost, and generally provide efficient and reliable global and local error estimates for adaptive algorithms. In this paper we highlight a difficulty that such error estimators have in the case of problems with a jumping coefficient on the diffusion term of the differential operator, explain why this difficulty exists and offer a fairly straight-forward way to fix it.

Mar 13, 2006
Mar 13, 2006
MSC Codes:
65N15, 65N30, 65N50
finite elements, gradient recovery, a posteriori error estimation

Related publications

2006 Repository Open Access
Jeffrey S. Ovall

Fixing a 'bug' in recovery-type a posteriori error estimators