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.
- Additive Schwarz methods
- Domain decomposition
- Elliptic mortar finite element method
- Non-matching triangulations
- Preconditioned conjugate gradients
ASJC Scopus subject areas
- Computational Mathematics