An adaptive finite element method for the infinity Laplacian
arXiv:1311.3930 · doi:10.1007/978-3-319-10705-9_28
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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