Coarse spaces for virtual element methods on irregular 3D subdomain decompositions
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| Autoři: | , , , |
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| Médium: | artículo preliminar |
| Datum vydání: | 2025 |
| Popis: | We present a two-level overlapping Schwarz preconditioner for three-dimensional problems discretized with the Virtual Element Method. Our approach handles general polyhedral meshes and irregular subdomains, extending the applicability of previous methods. Numerical experiments show robust performance with respect to the number of subdomains and mesh parameters, with condition-number bound comparable to classical finite element results. While alternative methods such as FETI-DP and BDDC are available, the simplicity and competitiveness of overlapping additive Schwarz methods underscore the practical significance of our contribution. |
| Země: | Kérwá |
| Instituce: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Jazyk: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/103709 |
| On-line přístup: | https://hdl.handle.net/10669/103709 https://doi.org/10.48550/arXiv.2512.07181 |
| Klíčové slovo: | Subdominios irregulares en 3D Superposición Funciones armónicas discretas Problema de Poisson en 3D |