On the finite element approximation of infinity-harmonic functions

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.

arXiv comment11 pages, 2 tables, 3 figures

Cited by in corpus (1)

• The r-Hunter-Saxton equation, smooth and singular solutions and their approximation