期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 351, 期 -, 页码 571-598出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2019.03.038
关键词
Preconditioner; Multilevel additive Schwarz; Isogeometric analysis; Boundary element methods
资金
- CONICYT through the FONDECYT project Least-squares methods for obstacle problems [11170050]
- Austrian Science Fund (FWF) [P29096, P27005, W1245, SFB F65]
- Austrian Science Fund (FWF) [P27005] Funding Source: Austrian Science Fund (FWF)
We define and analyze (local) multilevel diagonal preconditioners for isogeometric boundary elements on locally refined meshes in two dimensions. Hypersingular and weakly-singular integral equations are considered. We prove that the condition number of the preconditioned systems of linear equations is independent of the mesh-size and the refinement level. Therefore, the computational complexity, when using appropriate iterative solvers, is optimal. Our analysis is carried out for closed and open boundaries and numerical examples confirm our theoretical results. (C) 2019 Elsevier B.V. All rights reserved.
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