Journal
SIAM JOURNAL ON NUMERICAL ANALYSIS
Volume 44, Issue 2, Pages 699-731Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S0036142903425409
Keywords
optimized Schwarz methods; optimized transmission conditions; domain decomposition; parallel preconditioning
Categories
Ask authors/readers for more resources
Optimized Schwarz methods are a new class of Schwarz methods with greatly enhanced convergence properties. They converge uniformly faster than classical Schwarz methods and their convergence rates dare asymptotically much better than the convergence rates of classical Schwarz methods if the overlap is of the order of the mesh parameter, which is often the case in practical applications. They achieve this performance by using new transmission conditions between subdomains which greatly enhance the information exchange between subdomains and are motivated by the physics of the underlying problem. We analyze in this paper these new methods for symmetric positive definite problems and show their relation to other modern domain decomposition methods like the new Finite Element Tearing and Interconnect (FETI) variants.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available