Coarse spaces for virtual element methods on irregular 3D subdomain decompositions

 

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Bibliografiska uppgifter
Författarna: Aguilar Pineda, Ana, Amey Apuy, Luis Fernando, Angulo Paniagua, Adrián, Calvo Alpízar, Juan Gabriel
Materialtyp: artículo preliminar
Utgivningstid:2025
Beskrivning: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.
Land:Kérwá
Organisation:Universidad de Costa Rica
Repositorio:Kérwá
Språk:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/103709
Länkar:https://hdl.handle.net/10669/103709
https://doi.org/10.48550/arXiv.2512.07181
Nyckelord:Subdominios irregulares en 3D
Superposición
Funciones armónicas discretas
Problema de Poisson en 3D