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

 

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書誌詳細
著者: Aguilar Pineda, Ana, Amey Apuy, Luis Fernando, Angulo Paniagua, Adrián, Calvo Alpízar, Juan Gabriel
フォーマット: artículo preliminar
出版日付:2025
その他の書誌記述: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.
国:Kérwá
機関:Universidad de Costa Rica
Repositorio:Kérwá
言語:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/103709
オンライン・アクセス:https://hdl.handle.net/10669/103709
https://doi.org/10.48550/arXiv.2512.07181
キーワード:Subdominios irregulares en 3D
Superposición
Funciones armónicas discretas
Problema de Poisson en 3D