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arXiv · 1311.3930

An adaptive finite element method for the infinity Laplacian

Omar Lakkis·Tristan Pryer
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Abstract

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.

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Omar Lakkis, Tristan Pryer. 2013-11-15. An adaptive finite element method for the infinity Laplacian. https://doi.org/10.1007/978-3-319-10705-9_28

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