An adaptive finite element method for the infinity Laplacian

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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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
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

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