A Schwarz preconditioner for smoothed virtual element methods
| dc.creator | Amey Apuy, Luis Fernando | |
| dc.creator | Calvo Alpízar, Juan Gabriel | |
| dc.creator | Padilla Torres, Josué | |
| dc.date.accessioned | 2025-02-28T19:14:25Z | |
| dc.date.available | 2025-02-28T19:14:25Z | |
| dc.date.issued | 2025-02-20 | |
| dc.description.abstract | In this paper we introduce a novel virtual smoothed method that is spectrally equivalent to the virtual element method. Furthermore, we design a robust two-level Schwarz preconditioner tailored for irregular subdomains, applicable to extended smoothed finite element methods, smoothed strain element methods, and the proposed smoothed virtual element method. Theoretical proofs are provided for the new method, including spectral estimates of the preconditioned system. Numerical experiments validate the effectiveness, scalability, and practical applicability of the approach in addressing irregular subdomains. | |
| dc.description.procedence | UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemáticas Puras y Aplicadas (CIMPA) | |
| dc.description.procedence | UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática | |
| dc.identifier.codproyecto | 821-C1228 | |
| dc.identifier.uri | https://hdl.handle.net/10669/101727 | |
| dc.language.iso | eng | |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.source | Universidad de Costa Rica | |
| dc.subject | smoothed finite element methods | |
| dc.subject | smoothed virtual element methods | |
| dc.subject | domain decomposition methods | |
| dc.subject | irregular subdomains | |
| dc.subject | overlapping Schwarz methods | |
| dc.title | A Schwarz preconditioner for smoothed virtual element methods | |
| dc.type | artículo preliminar |