Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472151 | Computers & Mathematics with Applications | 2015 | 14 Pages |
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 underlying 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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Paola F. Antonietti, Marco Verani, Ludmil Zikatanov,