Overlapping Schwarz Preconditioners for Isogeometric Collocation Methods Based on Generalized B-Splines
We study overlapping additive Schwarz (OAS) preconditioners for the solution of elliptic boundary value problems discretized using isogeometric collocation methods based on generalized B-splines (GB-splines). Through a series of numerical experiments, we demonstrate the <i>scalability</i>...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-05-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/14/6/397 |
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| Summary: | We study overlapping additive Schwarz (OAS) preconditioners for the solution of elliptic boundary value problems discretized using isogeometric collocation methods based on generalized B-splines (GB-splines). Through a series of numerical experiments, we demonstrate the <i>scalability</i> of the proposed preconditioning strategy with respect to the number of subdomains, as well as its <i>robustness</i> with respect to the parameters of the isogeometric discretization. |
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| ISSN: | 2075-1680 |