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arXiv:1311.3930 [math.NA]AbstractReferencesReviewsResources

An adaptive finite element method for the infinity Laplacian

Omar Lakkis, Tristan Pryer

Published 2013-11-15Version 1

We construct a finite element method (FEM) for the infinity Laplacian. Solutions of this problem may be singular, which has prompted us to conduct an a posteriori analysis of the method deriving residual based estimators to drive an adaptive algorithm. It is numerically shown that the optimal convergence rates are regained upon using the adaptive procedure.

Comments: 6 figures
Categories: math.NA, math.AP, nlin.AO
Subjects: 65N30, 65N50
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