On the finite element approximation of infinity-harmonic functions

Tristan Pryer

doi:10.1017/S0308210517000294

On the finite element approximation of infinity-harmonic functions

Tristan Pryer

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (SciVal)

104 Downloads (Pure)

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 language	English
Pages (from-to)	819-834
Number of pages	16
Journal	Proceedings of the Royal Society of Edinburgh Section A - Mathematics
Volume	148
Issue number	4
Early online date	30 Jan 2018
DOIs	https://doi.org/10.1017/S0308210517000294
Publication status	Published - 31 Aug 2018

Bibliographical note

11 pages, 2 tables, 3 figures

Keywords

math.NA
math.AP
35J25, 65N30

Access to Document

10.1017/S0308210517000294

1511.00471v1.PDF
This article has been published in Proceedings of the Royal Society of Edinburgh Section A: Mathematics [https://doi.org/10.1017/S0308210517000294]. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © 2018 Royal Society of Edinburgh.
Accepted author manuscript, 1.2 MB

Cite this

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AB - 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.

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KW - math.AP

KW - 35J25, 65N30

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On the finite element approximation of infinity-harmonic functions

Abstract

Bibliographical note

Keywords

Access to Document

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