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Isogeometric Schwarz Preconditioners with Generalized B-Splines for the Biharmonic Problem
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Cho, Durkbin | - |
| dc.date.accessioned | 2024-08-08T05:30:42Z | - |
| dc.date.available | 2024-08-08T05:30:42Z | - |
| dc.date.issued | 2023-05 | - |
| dc.identifier.issn | 2075-1680 | - |
| dc.identifier.issn | 2075-1680 | - |
| dc.identifier.uri | https://scholarworks.dongguk.edu/handle/sw.dongguk/18622 | - |
| dc.description.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. | - |
| dc.format.extent | 16 | - |
| dc.language | 영어 | - |
| dc.language.iso | ENG | - |
| dc.publisher | MDPI | - |
| dc.title | Isogeometric Schwarz Preconditioners with Generalized B-Splines for the Biharmonic Problem | - |
| dc.type | Article | - |
| dc.publisher.location | 스위스 | - |
| dc.identifier.doi | 10.3390/axioms12050452 | - |
| dc.identifier.scopusid | 2-s2.0-85160226701 | - |
| dc.identifier.wosid | 001011238500001 | - |
| dc.identifier.bibliographicCitation | Axioms, v.12, no.5, pp 1 - 16 | - |
| dc.citation.title | Axioms | - |
| dc.citation.volume | 12 | - |
| dc.citation.number | 5 | - |
| dc.citation.startPage | 1 | - |
| dc.citation.endPage | 16 | - |
| dc.type.docType | Article | - |
| dc.description.isOpenAccess | Y | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
| dc.subject.keywordPlus | ROBUST | - |
| dc.subject.keywordPlus | ALGORITHMS | - |
| dc.subject.keywordPlus | GEOPDES | - |
| dc.subject.keywordPlus | STOKES | - |
| dc.subject.keywordAuthor | domain decomposition methods | - |
| dc.subject.keywordAuthor | overlapping Schwarz methods | - |
| dc.subject.keywordAuthor | biharmonic problems | - |
| dc.subject.keywordAuthor | effective preconditioners | - |
| dc.subject.keywordAuthor | isogeometric analysis | - |
| dc.subject.keywordAuthor | generalized B-splines | - |
| dc.subject.keywordAuthor | finite element method | - |
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Related Researcher
- Cho, Durk Bin
- College of Natural Science (Department of Mathematics)