Academic Journal
Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces
| العنوان: | Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces |
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| المؤلفون: | Hofreither C., Mitter L., Speleers H. |
| المساهمون: | Hofreither, C, Mitter, L, Speleers, H |
| بيانات النشر: | Oxford University Press |
| سنة النشر: | 2022 |
| المجموعة: | Universitá degli Studi di Roma "Tor Vergata": ART - Archivio Istituzionale della Ricerca |
| مصطلحات موضوعية: | Isogeometric analysi, Multigrid method, Adaptivity, Local multigrid solver, Hierarchical spline space, THB-spline, HB-splines, Settore MAT/08 - ANALISI NUMERICA |
| الوصف: | We propose local multigrid solvers for adaptively refined isogeometric discretizations using (truncated) hierarchical B-splines ((T)HB-splines). Smoothing is only performed in or near the refinement areas on each level, leading to a computationally efficient solving strategy. We prove robust convergence of the proposed solvers with respect to the number of levels and the mesh sizes of the hierarchical discretization space under the assumption that the hierarchical mesh satisfies an admissibility condition, i.e., the number of interacting mesh levels is uniformly bounded. We also provide several numerical experiments. The main analytical tools are quasi-interpolators for THB-splines and the abstract convergence theory of subspace correction methods. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000755899700001; volume:42; issue:3; firstpage:2429; lastpage:2458; numberofpages:30; journal:IMA JOURNAL OF NUMERICAL ANALYSIS; https://hdl.handle.net/2108/308435; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85135611990 |
| DOI: | 10.1093/imanum/drab041 |
| الاتاحة: | https://hdl.handle.net/2108/308435 https://doi.org/10.1093/imanum/drab041 |
| رقم الانضمام: | edsbas.E6511465 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1093/imanum/drab041 |
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