BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:An efficient and arbitrary-order cell method for linear hyperbolic
  systems of equations
DTSTART:20200526T161500
DTEND:20200526T171500
DTSTAMP:20260406T172843Z
UID:fcbd922b332a4fa04fc5709c5911c01e22581ba3fc66adaeb12f45d9
CATEGORIES:Conferences - Seminars
DESCRIPTION:Bernard Kapidani\nComputational Mathematics Seminar\nAbstract 
 :\n"I will describe a new method for the numerical solution of initial bou
 ndary value (wave propagation) problems\, focusing mainly on the Maxwell e
 quations. Starting from a regular triangulation of the spatial domain $\\O
 mega$\, the method hinges on the construction of a second mesh: its so-cal
 led barycentric dual cell complex. Furthermore\, the two unknown fields in
  the system of first order equations are approximated with different non-c
 onforming functional spaces\, whose definition is intimately tied to the r
 elationship between the two dual meshes. Although non-conforming\, the pre
 sented Discontinuous Galerkin method requires neither the introduction of 
 user-tuned penalty parameters for the inter-element jumps of the fields\, 
 nor numerical energy dissipation to achieve stability. I will prove that a
 n exact energy conservation law for the semi-discrete system holds and I w
 ill construct bases for the ansatz spaces\, with arbitrary local polynomia
 l degree of accuracy\, defined through a new geometry for the reference ce
 ll element. I will then show how the chosen ansatz spaces yield cheaply in
 vertible block-diagonal mass matrices (and therefore an efficient explicit
  time stepping scheme) and I will finally demonstrate on several numerical
  tests that the resulting algorithm is spectrally correct and exhibits the
  expected order of convergence. The material covered is joint work with Lo
 renzo Codecasa of the Polytechnic of Milan and Joachim Schöberl of the Vi
 enna University of Technology."
LOCATION:https://epfl.zoom.us/j/97263383499
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR