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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MDPI AG
2025-05-01
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| Online Access: | https://www.mdpi.com/2075-1680/14/6/397 |
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| author | Durkbin Cho |
| author_facet | Durkbin Cho |
| author_sort | Durkbin Cho |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-96270abef0e642e683a96d43368e48ff |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-96270abef0e642e683a96d43368e48ff2025-08-20T03:26:25ZengMDPI AGAxioms2075-16802025-05-0114639710.3390/axioms14060397Overlapping Schwarz Preconditioners for Isogeometric Collocation Methods Based on Generalized B-SplinesDurkbin Cho0Department of Mathematics, Dongguk University, Pil-dong 3-ga, Jung-gu, Seoul 04620, Republic of KoreaWe 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.https://www.mdpi.com/2075-1680/14/6/397domain decomposition methodsscalable preconditionersisogeometric analysiscollocation methodsgeneralized B-splines |
| spellingShingle | Durkbin Cho Overlapping Schwarz Preconditioners for Isogeometric Collocation Methods Based on Generalized B-Splines Axioms domain decomposition methods scalable preconditioners isogeometric analysis collocation methods generalized B-splines |
| title | Overlapping Schwarz Preconditioners for Isogeometric Collocation Methods Based on Generalized B-Splines |
| title_full | Overlapping Schwarz Preconditioners for Isogeometric Collocation Methods Based on Generalized B-Splines |
| title_fullStr | Overlapping Schwarz Preconditioners for Isogeometric Collocation Methods Based on Generalized B-Splines |
| title_full_unstemmed | Overlapping Schwarz Preconditioners for Isogeometric Collocation Methods Based on Generalized B-Splines |
| title_short | Overlapping Schwarz Preconditioners for Isogeometric Collocation Methods Based on Generalized B-Splines |
| title_sort | overlapping schwarz preconditioners for isogeometric collocation methods based on generalized b splines |
| topic | domain decomposition methods scalable preconditioners isogeometric analysis collocation methods generalized B-splines |
| url | https://www.mdpi.com/2075-1680/14/6/397 |
| work_keys_str_mv | AT durkbincho overlappingschwarzpreconditionersforisogeometriccollocationmethodsbasedongeneralizedbsplines |