Annual Report 2008.pdf - SAMSI

numerical approach.
Several example problems will be presented. One form of cardiovascular disease, atrial
fibrillation (AF), is studied using the IFEM. We examine the blood flows in blood vessels and
left heart, in particular the left atrium and left atrial appendage (LAA), which is important in the
development of strokes in those suffering from atrial fibrillation (AF).
POSTER PRESENTATIONS
Daniel Alfaro-Vigo
Instituto de Matematica Pura e Aplicada (IMPA)
dgalfaro@impa.br
“Time Reversal in a Photonic Crystal”
Steven Baker
University of Alabama-Birmingham
Department of Mathematics
sjbaker@uab.edu
“Minimizing the Ground State Energy of an Electron in a Randomly Deformed Lattice”
J. Thomas Beale
Duke University
Department of Mathematics
beale@math.duke.edu
“Locally Corrected Semi-Lagrangian Methods for Stokes Flow with Elastic Interfaces”
We describe a numerical method developed in work with J. Strain for computing time-dependent
viscous flow with a moving interface which responds elastically to stretching. For the motion of
the interface we use Strain's semi-Lagrangian contouring
method. The Stokes velocity is computed as a potential integral in a periodic box using Ewald
summation, with the smooth part found as a Fourier series and the remaining part treated as a
local correction.
Nicola Costanzino
Penn State University
Department of Mathematics
costanzi@math.psu.edu
“Multidimensional Pulsating Fronts in Discontinuous Heterogeneous Media”
Laurent Demanet
Stanford University
Department of Mathematics
demanet@gmail.com