Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.
Fixing a ''Bug'' in Recovery-Type A Posteriori Error Estimators
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.