A Two-Level Additive Schwarz Preconditioner for C0 Interior Penalty Methods for Cahn-Hilliard Equations
Document Type
Article
Publication Date
7-25-2013
Abstract
We study a two-level additive Schwarz preconditioner for C0 interior penalty methods for a biharmonic problem with essential and natural boundary conditions with Cahn-Hilliard type. We show that the condition number of the preconditioned system is bounded by C(1 + (H3 / δ3)), 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. © Springer-Verlag Berlin Heidelberg 2013.
Publication Title
Lecture Notes in Computational Science and Engineering
Volume
91
First Page
135
Last Page
142
Digital Object Identifier (DOI)
10.1007/978-3-642-35275-1_14
ISSN
14397358
ISBN
9783642352744
Citation Information
Wang. (2013). A Two-Level Additive Schwarz Preconditioner for C0 Interior Penalty Methods for Cahn-Hilliard Equations. In Domain Decomposition Methods in Science and Engineering XX (pp. 135–142). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-35275-1_14