A pedestrian's guide to Hermite methods, basic elements and some more sophisticated things

Daniel Appelö
Department of Mathematics and Statistics
University of New Mexico
Albuquerque, New Mexico


Hermite methods are arbitrary order polynomial based methods with exceptional resolving power (less than 2 points per wavelength! How can this be?) and high computation to communication ratio. The first part of this talk will discuss the basic elements of Hermite methods for time-dependent PDEs. The second part will cover h and p-adaptivity, propagation of discontinuities, hybridization with discontinuous Galerkin methods and applications to fluid flow and electromagnetics.