Adaptive methods with C1 splines for multi-patch surfaces and shells

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemática Aplicada
dc.contributor.authorBracco, Cesare
dc.contributor.authorFarahat, Andrea
dc.contributor.authorGiannelli, Carlotta
dc.contributor.authorKapl, Mario
dc.contributor.authorVázquez Hernández, Rafael
dc.date.accessioned2025-04-10T11:07:14Z
dc.date.available2025-04-10T11:07:14Z
dc.date.issued2024
dc.description.abstractWe introduce an adaptive isogeometric method for multi-patch surfaces and Kirchhoff–Love shell structures with hierarchical splines characterized by continuity across patches. We extend the construction of smooth hierarchical splines from the multi-patch planar setting to analysis suitable surfaces. The adaptive scheme to solve fourth order partial differential equations is presented in a general framework before showing its application for the numerical solution of the bilaplacian and the Kirchhoff–Love model problems. A selection of numerical examples illustrates the performance of hierarchical adaptivity on different multi-patch surface configurations.
dc.description.peerreviewedSI
dc.description.sponsorshipThe authors would like to thank Giuliano Guarino for sharing his implementation of Nitsche’s method for shells. Andrea Farahat and Mario Kapl have been supported by the Austrian Science Fund (FWF) through the project P 33023-N. These supports are gratefully acknowledged. Cesare Bracco, and Carlotta Giannelli are members of INdAM research group GNCS, Italy. The INdAM-GNCS support through the SUNRISE Project and Progetti di Ricerca GNCS 2023 “ Tecniche spline innovative per metodi di approssimazione e isogeometrici adattivi” is gratefully acknowledged. In addition, Cesare Bracco and Carlotta Giannelli acknowledge the contribution of the National Recovery and Resilience Plan, Mission 4 Component 2 – Investment 1.4 – National Center for HPC, Big Data and Quantum Computing – funded by the European Union – NextGenerationEU – CUP (B83C22002830001). The partial support of the Italian Ministry of University and Research (MUR) through the PRIN projects COSMIC (No. 2022A79M75) and NOTES (No. P2022NC97R), funded by the European Union - NextGenerationEU , is also acknowledged.
dc.identifier.citationBracco, C., Farahat, A., Giannelli, C., Kapl, M., & Vázquez, R. (2024). Adaptive methods with C1 splines for multi-patch surfaces and shells. Computer Methods in Applied Mechanics and Engineering, 431. https://doi.org/10.1016/J.CMA.2024.117287
dc.identifier.doi10.1016/j.cma.2024.117287
dc.identifier.issn0045-7825
dc.identifier.urihttps://hdl.handle.net/10347/40749
dc.journal.titleComputer Methods in Applied Mechanics and Engineering
dc.language.isoeng
dc.publisherElsevier
dc.relation.projectIDB83C22002830001
dc.relation.publisherversionhttps://doi.org/10.1016/j.cma.2024.117287
dc.rights© 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license. Attribution 4.0 International
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectIsogeometric analysis
dc.subjectAdaptivity
dc.subjectHierarchical splines
dc.subjectC1 continuity
dc.subjectMulti-patch surfaces
dc.subjectBiharmonic problem
dc.subjectKirchhoff–Love shells
dc.titleAdaptive methods with C1 splines for multi-patch surfaces and shells
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number431
dspace.entity.typePublication
relation.isAuthorOfPublication3876c684-57c3-4a84-9b2e-189a54eccf45
relation.isAuthorOfPublication.latestForDiscovery3876c684-57c3-4a84-9b2e-189a54eccf45

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