Plenary talk: Canonical families of finite elements

Saturday, November 6, 2010 - 5:15pm - 6:00pm
Keller 3-180
Douglas Arnold (University of Minnesota, Twin Cities)
The most familiar family of finite elements is the Lagrange family, which provide the canonical finite element approximation of H1 on simplicial meshes in any dimension. In this talk we discuss families of simplicial and cubical finite elements—some previously known and some new—which are natural extensions
of the Lagrange family in various ways. Even for some of the long known elements, a modern viewpoint based on the finite element exterior calculus provides new properties and insights.