An overlapping preconditioner for 2D virtual problems posed in H(rot) with irregular subdomains

 

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Detalhes bibliográficos
Autores: Calvo Alpízar, Juan Gabriel, Herrera Garro, César, Sequeira Chavarría, Filander A.
Formato: artículo preliminar
Data de Publicação:2022
Descrição:We present a two-level overlapping Schwarz preconditioner for problems posed in H(rot) in two dimensions, that extends previous methods for Nédélec elements (triangular meshes) to general polygonal partitions (virtual methods). The coarse space is based on virtual spaces and its dimension equals the number of subdomain edges. Moreover, for the interpolation from coarse to fine mesh, instead of using discrete harmonic extensions, we include the description of a method based on polynomial projectors, related to virtual element methods. We include numerical results that confirm our method is competitive.
País:Kérwá
Recursos:Universidad de Costa Rica
Repositorio:Kérwá
Idioma:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/89449
Acesso em linha:https://hdl.handle.net/10669/89449
Palavra-chave:MATHEMATICS