Abstract
We present preconditioners for the interface system arising from solving fourth-order elliptic equations with domain decomposition methods. These preconditioners are derived from a Fourier analysis of the interface operator. We show that the condition number of the interface Schur complement is of order O(h-3), where h is the grid size. Precise estimates concerning the decay properties of the elements of the Schur complement are also obtained. Relationships between interface preconditioners for second-order problems and fourth-order problems are established. Analytical as well as numerical results are given to assess the performance of these preconditioners.
Original language | English (US) |
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Pages (from-to) | 317-331 |
Number of pages | 15 |
Journal | Applied Numerical Mathematics |
Volume | 8 |
Issue number | 4-5 |
DOIs | |
State | Published - Nov 1991 |
Externally published | Yes |
Keywords
- Domain decomposition
- Schur complement
- biharmonic equation
- interface preconditioner.
ASJC Scopus subject areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics