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Isogeometric Schwarz Preconditioners with Generalized B-Splines for the Biharmonic Problemopen access
- Authors
- Cho, Durkbin
- Issue Date
- May-2023
- Publisher
- MDPI
- Keywords
- domain decomposition methods; overlapping Schwarz methods; biharmonic problems; effective preconditioners; isogeometric analysis; generalized B-splines; finite element method
- Citation
- Axioms, v.12, no.5, pp 1 - 16
- Pages
- 16
- Indexed
- SCIE
SCOPUS
- Journal Title
- Axioms
- Volume
- 12
- Number
- 5
- Start Page
- 1
- End Page
- 16
- ISSN
- 2075-1680
2075-1680
- Abstract
- We construct an overlapping additive Schwarz preconditioner for the biharmonic Dirichlet problems discretized by isogeometric analysis based on generalized B-splines (GB-splines) and analyze its optimal convergence rate bound that is cubic in the ratio between subdomains and overlap sizes. Our analysis is validated through a set of numerical experiments that illustrate good behavior of the proposed preconditioner with respect to the model parameters.
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Related Researcher
- Cho, Durk Bin
- College of Natural Science (Department of Mathematics)