Adaptive Finite Element Method for PDEs on Surfaces

Start: 02/22/2016 - 4:15pm
End  : 02/22/2016 - 5:15pm

Applied Math Seminar

Ryan S. Szypowski (Cal Poly, Pomona)


The finite element method is a powerful technique for approximating
solutions to partial differential equations (PDEs) that is based on
rich theory and is efficiently implementable. When used in an adaptive
fashion, the method is provably convergent for a wide array of
problems. The recently developed Finite Element Exterior Calculus
formalism allows the method to be applied to problems with geometric
content. This talk will introduce the basics of this formalism,
specifically in the context of PDEs on surfaces, and provide some
recent theoretical and numerical results.

Emmy Noether Room Millikan 1021 Pomona College