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

 

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون: Aguilar Pineda, Ana, Amey Apuy, Luis Fernando, Angulo Paniagua, Adrián, Calvo Alpízar, Juan Gabriel
التنسيق: artículo preliminar
تاريخ النشر:2025
الوصف: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.
البلد:Kérwá
المؤسسة:Universidad de Costa Rica
Repositorio:Kérwá
اللغة:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/103709
الوصول للمادة أونلاين:https://hdl.handle.net/10669/103709
https://doi.org/10.48550/arXiv.2512.07181
كلمة مفتاحية:Subdominios irregulares en 3D
Superposición
Funciones armónicas discretas
Problema de Poisson en 3D