Abstract
Mortar elements form a family of special non-overlapping domain decomposition methods which allows the coupling of different triangulations across subdomain boundaries. We discuss and analyze a multilevel preconditioner for mortar finite elements on nonmatching triangulations. The analysis is carried out within the abstract framework of additive Schwarz methods. Numerical results show a performance of our preconditioner as predicted by the theory. Our condition number estimate depends quadratically on the number of refinement levels.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 23-38 |
| Number of pages | 16 |
| Journal | Journal of Numerical Mathematics |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2004 |
Keywords
- Additive Schwarz methods
- Domain decomposition
- Elliptic mortar finite element method
- Non-matching triangulations
- Preconditioned conjugate gradients
ASJC Scopus subject areas
- Computational Mathematics