An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method
نویسندگان
چکیده
منابع مشابه
An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method
Résumé. Optimized Schwarz methods (OSM) are very popular methods which were introduced 6 by P.L. Lions in [32] for elliptic problems and by B. Després in [8] for propagative wave phenomena. 7 We give here a theory for Lions’ algorithm that is the genuine counterpart of the theory developed 8 over the years for the Schwarz algorithm. The first step is to introduce a symmetric variant of the 9 OR...
متن کاملRestricted Additive Schwarz Method with Harmonic Overlap
In this paper, we introduce a new Schwarz preconditioner and with a new coarse space. We construct the preconditioner by grouping together, in one preconditioner, features from the additive overlapping Schwarz methods, from iterative substructuring methods and from a class of restricted additive Schwarz methods. The preconditioner is symmetric and considered as a symmetrized version of restrict...
متن کاملAn additive Schwarz method for variational inequalities
This paper proposes an additive Schwarz method for variational inequalities and their approximations by finite element methods. The Schwarz domain decomposition method is proved to converge with a geometric rate depending on the decomposition of the domain. The result is based on an abstract framework of convergence analysis established for general variational inequalities in Hilbert spaces.
متن کاملAdditive Schwarz for the Schur Complement Method Additive Schwarz for the Schur Complement Method
Submitted to the proceedings of the ninth international conference on domain decomposition methods (Bergen-Norway-1996).
متن کاملOptimized Additive Schwarz with Harmonic Extension as a Discretization of the Continuous Parallel Schwarz Method
The additive Schwarz method with harmonic extension (ASH) was introduced by Cai and Sarkis (1999) as an efficient variant of the additive Schwarz method that converges faster and requires less communication. We show that ASH can also be used with optimized transmission conditions to obtain faster convergence. We show that when the decomposition into subdomains contains no cross points, optimize...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2017
ISSN: 1064-8275,1095-7197
DOI: 10.1137/16m1060066