An adaptive finite element method for the infinity Laplacian

Omar Lakkis, Tristan Pryer

Research output: Contribution to journalArticlepeer-review

2 Citations (SciVal)

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.

Original languageEnglish
Pages (from-to)283-291
Number of pages9
JournalLecture Notes in Computational Science and Engineering
Volume103
DOIs
Publication statusPublished - 2015

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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