Title
Two-level additive Schwarz preconditioners for C0 interior penalty methods
Document Type
Article
Publication Date
12-1-2005
Abstract
We study two-level additive Schwarz preconditioners that can be used in the iterative solution of the discrete problems resulting from C interior penalty methods for fourth order elliptic boundary value problems. We show that the condition number of the preconditioned system is bounded by C(1+(H /δ )), where H is the typical diameter of a subdomain, δ measures the overlap among the subdomains and the positive constant C is independent of the mesh sizes and the number of subdomains. 0 3 3
Publication Source (Journal or Book title)
Numerische Mathematik
First Page
231
Last Page
255
Recommended Citation
Brenner, S., & Wang, K. (2005). Two-level additive Schwarz preconditioners for C0 interior penalty methods. Numerische Mathematik, 102 (2), 231-255. https://doi.org/10.1007/s00211-005-0641-2