On the finite element approximation of infinity-harmonic functions

Tristan Pryer

OAI: oai:purehost.bath.ac.uk:publications/7c23f01d-64cf-461b-873d-d29afb786ecd • DOI: https://doi.org/10.1017/S0308210517000294

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.

math.NA math.AP 35J25 65N30