A two-level method for Mimetic Finite Difference discretizations of elliptic problems

Keywords

Advanced Numerical Methods for Scientific Computing
Code:
50/2013
Title:
A two-level method for Mimetic Finite Difference discretizations of elliptic problems
Date:
Friday 25th October 2013
Author(s):
Antonietti, P.F.; Verani, M.; Zikatanov, L.
Download link:
Abstract:
We propose and analyze a two-level method for mimetic finite difference approximations of second order elliptic boundary value problems. We prove that the two-level algorithm is uniformly convergent, i.e., the number of iterations needed to achieve convergence is uniformly bounded independently of the characteristic size of the underling partition. We also show that the resulting scheme provides a uniform preconditioner with respect to the number of degrees of freedom. Numerical results that validate the theory are also presented.