Hi All,

We have a really great seminar at Midday today in Huxley. I hope to see you all there!

David




"Mixed finite Element methods for wave equations"

13th June 2014, 12-13, 130 Huxley.
Dr Robert Kirby, Department of Mathematics, Baylor University, USA

Abstract: Wave equations model many important applications, such as acoustics and oceanic tides.  Mixed finite element methods discretize the conservative first-order form of such equations and preserve important mathematical and physical structure.  I will begin by surveying some of the basic  features of these discretizations.  Then, I will present new semi discrete energy estimates for linear tide models.
These estimates give long-term stability and, in the absence of forcing terms, give exponential decay of solution profiles to a steady, solenoidal field. However, these results still leave important practical details related to algorithms and software open, such as time-stepping and enabling the right kinds of operations efficiently.  I will conclude by surveying some of the challenges that thus presented to software tools such as FEniCS and Firedrake.

http://www3.imperial.ac.uk/newsandeventspggrp/imperialcollege/naturalsciences/mathematics/ammp/eventssummary/event_3-6-2014-16-29-8

--
Dr David Ham
Departments of Mathematics and Computing
Imperial College London

http://www.imperial.ac.uk/people/david.ham