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An adaptive finite element method for the infinity Laplacian
Conference proceeding   Peer reviewed

An adaptive finite element method for the infinity Laplacian

Omar Lakkis and T Pryer
Numerical Mathematics and Advanced Applications - ENUMATH 2013: Proceedings of ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013, Vol.103, pp.283-291
Lecture Notes in Computational Science and Engineering, 103
10th European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2013) (Lausanne, 26/08/2013 - 30/08/2013)
2015
DOI: https://doi.org/10.1007/978-3-319-10705-9_28
Handle:
https://hdl.handle.net/10863/32509

Abstract

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.
url
http://arxiv.org/abs/1311.3930View

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