On the finite element approximation of infinity-harmonic functions

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Abstract

In this note we show that conforming Galerkin approximations for p-harmonic functions tend to infinity-harmonic functions in the limit p \to \infty and h \to 0, where h denotes the Galerkin discretisation parameter.
Original languageEnglish
Pages (from-to)819-834
Number of pages16
JournalProceedings of the Royal Society of Edinburgh Section A - Mathematics
Volume148
Issue number4
Early online date30 Jan 2018
DOIs
Publication statusPublished - 31 Aug 2018

Keywords

  • math.NA
  • math.AP
  • 35J25, 65N30

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