WS, Hannah Potgieter: Numerical Approximation of p-Laplace Eigenpairs

Speaker
Hannah Potgieter,Simon Fraser University

Abstract
We approximate the first two eigenpairs of the p-Laplace operator with zero Dirichlet boundary conditions using a finite element method. In this talk we will discuss the large p limiting behaviour and its connection to the underlying geometry of our domain. Working with large p values presents numerical challenges which require careful treatment. We present computational results in 1D and planar domains, as well as some surface domains.