BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:UPWIND FINITE ELEMENT METHODS FOR H(grad)\, H(curl) AND H(div) CON
 VECTION-DIFFUSION PROBLEMS - Jinchao Xu (Pennsylvania State University)
DTSTART:20191022T125500Z
DTEND:20191022T134000Z
UID:TALK133102@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:This talk is devoted to the construction and analysis of the f
 inite element approximations for the H(grad)\, H(curl) and H(div) convecti
 on-diffusion problems.  An essential feature of these constructions is to 
 properly average the PDE coefficients on sub-simplexes from the underlying
  simplicial finite element meshes. The schemes are of the class of exponen
 tial fitting methods that result in special upwind schemes when the diffus
 ion coefficient approaches to zero. Their well-posedness are established f
 or sufficiently small mesh size assuming that the convection-diffusion pro
 blems are uniquely solvable. Convergence of first order is derived under m
 inimal smoothness of the solution. Some numerical examples are given to de
 monstrate the robustness and effectiveness for general convection-diffusio
 n problems.  This is a joint work with Shounan Wu.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR