An adaptive finite element method for the infinity Laplacian

Lakkis, Omar and Pryer, Tristan (2015) An adaptive finite element method for the infinity Laplacian. In: Numerical Mathematics and Advanced Applications - {ENUMATH} 2013. Lecture Notes in Computational Science and Engineering, 103 (103). Springer International Publishing, Cham, Switzerland, pp. 283-291. 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: Book Section
Additional Information: published online 31 October 2014
Keywords: Computational Science and Engineering, Mathematical Modeling and Industrial Mathematics, Mathematical Software
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
T Technology > T Technology (General) > T0055.4 Industrial engineering. Management engineering > T0057 Applied mathematics. Quantitative methods
T Technology > TA Engineering (General). Civil engineering (General) > TA0329 Engineering mathematics. Engineering analysis
Depositing User: Omar Lakkis
Date Deposited: 24 Sep 2015 11:06
Last Modified: 24 Sep 2015 11:06
URI: http://sro.sussex.ac.uk/id/eprint/56860
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