Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Home 
 People 
 Current 
 Affiliates 
 Alumni 
 Visitors 
 Students 
 Research 
 ICAM-LANL 
 Publications 
 2007 
 2006 
 2005 
 2004 
 2003 
 2002 
 2001 
 2000 
 <1999 
 Conferences 
 Workshops 
 Sponsorship 
 Talks 
 Colloquia 
 Seminars 
 Quantum Lunch 
 CMS Colloquia 
 Archive 
 Kac Lectures 
 Dist. Quant. Lecture 
 Ulam Scholar 
 Colloquia 
 
 Jobs 
 Students 
 Summer Research 
 Graduate Positions 
 Visitors 
 Description 
 Services 
 General 
 PD Travel Request 
 
 History of CNLS 
 
 Maps, Directions 
 CNLS Office 
 T-Division 
 LANL 
 
Monday, July 13, 2009
10:00 AM - 11:00 AM
CNLS Conference Room (TA-3, Bldg 1690)

Seminar

A second-order flux approximation for the mimetic finite difference method

Marco Manzini
Istituto di Matematica Applicata e Tecnologie Informatiche, Pavia

We present a new Mimetic Finite Difference method for the diffusion problem that is based on a linear interpolation for the numerical fluxes. The scalar solution field is approximated by a piecewise constant function. This approach provides a second-order accurate approximation to the flux of the exact solution. In analogy with the original formulation, a family of local scalar products is constructed to satisfy the fundamental properties of local consistency and spectral stability. Optimal convergence rates and accuracy improvement with respect to the lower-order formulation are shown by numerical examples.

Host: Mikhail Shashkov