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An adaptive finite element method for the infinity Laplacian

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conference contribution
posted on 2023-06-09, 00:18 authored by Omar LakkisOmar Lakkis, Tristan Pryer
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.

Funding

Recovery Methods in Evolution and Nonlinear Equations; EPSRC

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Numerical Mathematics and Advanced Applications - ENUMATH 2013

ISSN

1439-7358

Publisher

Springer International Publishing

Issue

103

Page range

283-291

Event name

European Numerical Mathematics Conference 2013 EPF Lausanne

Event location

École Polytechnique Fédérale de Lausanne

Event type

conference

Event date

26-30 August 2013

Book title

Numerical Mathematics and Advanced Applications - ENUMATH 2013

ISBN

9783319107042

Series

Lecture Notes in Computational Science and Engineering

Department affiliated with

  • Mathematics Publications

Notes

published online 31 October 2014 https://sro.sussex.ac.uk/56860

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2017-10-30

First Open Access (FOA) Date

2017-10-30

First Compliant Deposit (FCD) Date

2016-02-15