Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-05T15:34:27.993Z Has data issue: false hasContentIssue false
  • English
  • Français

On the finite-element approximation of ∞-harmonic functions

Part of: Partial differential equations, boundary value problems

Published online by Cambridge University Press:  30 January 2018

Tristan Pryer
Tristan Pryer*
Affiliation:
Department of Mathematics and Statistics, Whiteknights, University of Reading, Reading RG6 6AX, UK ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we show that conforming Galerkin approximations for p-harmonic functions tend to ∞-harmonic functions in the limit p → ∞ and h → 0, where h denotes the Galerkin discretization parameter.

Keywords

Galerkin methods∞-Laplacianviscosity solutions

MSC classification

Secondary: 65N12: Stability and convergence of numerical methods 65N30: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 148 , Issue 4 , August 2018 , pp. 819 - 834
Copyright
Copyright © Royal Society of Edinburgh 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)