Condition number estimates for the nonoverlapping optimized Schwarz method and the 2-Lagrange multiplier method for general domains and cross points
Event details
| Date | 28.04.2010 |
| Hour | 16:15 |
| Speaker | Sebastien Loisel |
| Location |
MAA112
|
| Category | Conferences - Seminars |
The optimized Schwarz method and the closely related 2-Lagrange
multiplier method are domain decomposition methods which can be used to
parallelize the solution of partial differential equations. Although
these methods are known to work well in special cases (e.g., when the
domain is a square and the two subdomains are rectangles), the problem
has never been systematically stated nor analyzed for general domains
with general subdomains. The problem of cross points (when three or more
subdomains meet at a single vertex) has been particularly vexing.
We introduce a 2-Lagrange multiplier method for domain decompositions
with cross points, and describe its relationship with the nonoverlapping
optimized Schwarz method. We estimate the condition number of the
iteration and provide an optimized Robin parameter for general domains.
We hope that this new systematic theory will allow broader utilization
of optimized Schwarz and 2-Lagrange multiplier preconditioners.
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Practical information
- General public
- Free
Contact
- Marco Discacciati