A robust coarse space for optimized Schwarz methods: SORAS-GenEO-2

作者：Haferssas Ryadh^*; Jolivet Pierre; Nataf Frederic

来源：Comptes Rendus Mathematique, 2015, 353(10): 959-963.

DOI：10.1016/j.crma.2015.07.014

Optimized Schwarz methods (OSM) are very popular methods that were introduced in [11] for elliptic problems and in [3] for propagative wave phenomena. We build here a coarse space for which the convergence rate of the two-level method is guaranteed regardless of the regularity of the coefficients. We do this by introducing a symmetrized variant of the ORAS (Optimized Restricted Additive Schwarz) algorithm [17] and by identifying the problematic modes using two different generalized eigenvalue problems instead of only one as in [16,15] for the ASM (Additive Schwarz method), BDD (Balancing Domain Decomposition [12]) or FETI (Finite-Element Tearing and Interconnection [6]) methods.

• 出版日期2015-10
• 单位INRIA