Detailed Information
Cited 3 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
ISOGEOMETRIC SCHWARZ PRECONDITIONERS FOR THE BIHARMONIC PROBLEMopen access
- Authors
- Cho, D.; Pavarino, L. F.; Scacchi, S.
- Issue Date
- 2018
- Publisher
- KENT STATE UNIVERSITY
- Keywords
- domain decomposition methods; overlapping Schwarz; biharmonic problem; scalable preconditioners; isogeometric analysis; finite elements; B-splines; NURBS
- Citation
- ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, v.49, pp 81 - 102
- Pages
- 22
- Indexed
- SCIE
SCOPUS
- Journal Title
- ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS
- Volume
- 49
- Start Page
- 81
- End Page
- 102
- ISSN
- 1068-9613
1097-4067
- Abstract
- A scalable overlapping Schwarz preconditioner for the biharmonic Dirichlet problem discretized by isogeometric analysis is constructed, and its convergence rate is analyzed. The proposed preconditioner is based on solving local biharmonic problems on overlapping subdomains that form a partition of the CAD domain of the problem and on solving an additional coarse biharmonic problem associated with the subdomain coarse mesh. An h-analysis of the preconditioner shows an optimal convergence rate bound that is scalable in the number of subdomains and is cubic in the ratio between subdomain and overlap sizes. Numerical results in 2D and 3D confirm this analysis and also illustrate the good convergence properties of the preconditioner with respect to the isogeometric polynomial degree p and regularity k.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Natural Science > Department of Mathematics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Cho, Durk Bin
- College of Natural Science (Department of Mathematics)