Computer Science NASC Seminar
Non-conforming Finite Element Methods for the Brinkman Problem and a Singularly Perturbed Fourth-order Problem
Johnny Guzman, Brown University
September 30, 2011
Warren Weaver Hall, Room 1302
251 Mercer Street
New York, NY, 10012-1110
Fall 2011 NASC Seminars Calendar
We show that one can augment H(div) elements (e.g.
Raviart-Thomas elements) with divergence free functions to construct
stable methods for the Brinkman problem. The resulting methods are
H(div) conforming, but are H1 non-conforming. Using exact sequences
of function spaces we also obtain non-conforming H2 elements that we
use to solve singularly perturbed fourth order problems. This is joint
work with Michael Nelian (UPitt) and Dmitriy Leykekhman (UConn).