## Abstract The standard multigrid algorithm is widely known to yield optimal convergence whenever all high‐frequency error components correspond to large relative eigenvalues. This property guarantees that smoothers like Gauss–Seidel and Jacobi will significantly dampen all the high‐frequency erro
✦ LIBER ✦
Robust optimal multilevel preconditioners for non-conforming finite element systems
✍ Scribed by R. Blaheta; S. Margenov; M. Neytcheva
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 182 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1070-5325
- DOI
- 10.1002/nla.438
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In this paper, we investigate some cost-effective hybrid V -cycle multilevel algorithms for the discrete systems that arise when a mixed finite element approach is used to solve certain second-order elliptic boundary value problems. By introducing a small penalty parameter, the perturbed indefinite