Title: Compatible discretizations for PDEs

Speaker: Kate Trapp, University of Richmond

Date/Time: Monday, August 8, 2005, 10:00-11:00 am (MT)

Location: Building 980, Room 95 (Sandia NM), Building 915, Room S101 (Sandia, CA)

Brief Abstract: Compatible discretization methods for solving partial differential equations are often used in electromagnetics to preserve the underlying physical properties expressed in the equations.   The support operator (or mimetic) method and the covolume method are two compatible discretization methods that rely on a discrete vector calculus structure.  These two methods can be placed in a common framework through the use of discrete differential complexes.  In this talk we describe this framework, how it captures fundamental relationships among first-order differential operators, its connection to the finite element methods of Raviart-Thomas and Nedelec, and demonstrate how convergence results for div-curl systems can be extended to a larger class of algorithms.  

CSRI POC: Pavel Bochev, (505) 844-1990