We construct a finite element method (FEM) for the infinity Laplacian. Solutions of this problem are well known to be singular in nature so we have taken the opportunity to conduct an a posteriori analysis of the method deriving residual based estimators to drive an adaptive algorithm. It is numerically shown that optimal convergence rates are regained using the adaptive procedure.
CITATION STYLE
Lakkis, O., & Pryer, T. (2015). An adaptive finite element method for the infinity Laplacian. Lecture Notes in Computational Science and Engineering, 103, 283–291. https://doi.org/10.1007/978-3-319-10705-9_28
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