Fully Localized A posteriori Error Estimators and Barrier Sets for Contact Problems

Authors:
Ricardo H. Nochetto;Kunibert G. Siebert;Andreas Veeser
Affiliations:
-;-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2004

Citing 0
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Abstract

We derive novel pointwise a posteriori error estimators for elliptic obstacle problems which, except for obstacle resolution, completely vanish within the full-contact set (localization). We then construct a posteriori barrier sets for free boundaries under a natural stability (or nondegeneracy) condition. We illustrate localization properties as well as reliability and efficiency for both solutions and free boundaries via several simulations in 2 and 3 dimensions.