Lakkis, Omar and Pryer, Tristan (2015) An adaptive finite element method for the infinity Laplacian. European Numerical Mathematics Conference 2013 EPF Lausanne, École Polytechnique Fédérale de Lausanne, 26-30 August 2013. Published in: Numerical Mathematics and Advanced Applications - ENUMATH 2013. (103) 283-291. Springer International Publishing ISSN 1439-7358 ISBN 9783319107042

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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.

Item Type:	Conference Proceedings
Additional Information:	published online 31 October 2014 https://sro.sussex.ac.uk/56860
Keywords:	Computational Science and Engineering, Mathematical Modeling and Industrial Mathematics, Mathematical Software, infinite harmonic, inifinity Laplacian, nonlinear, elliptic partial differential equation, numerical method, computational, scientific computing
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Subjects:	Q Science > QA Mathematics > QA0297 Numerical analysis Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems Q Science > QC Physics > QC0120 Descriptive and experimental mechanics
Depositing User:	Omar Lakkis
Date Deposited:	30 Oct 2017 16:24
Last Modified:	01 Aug 2018 09:07
URI:	http://srodev.sussex.ac.uk/id/eprint/59656

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