A two level overlapping Schwarz preconditioner for discontinuous Galerkin methods [Preprint]

 

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Detalles Bibliográficos
Autores: Calvo Alpízar, Juan Gabriel, Solano Córdoba, Moisés Eduardo
Formato: artículo preliminar
Fecha de Publicación:2024
Descripción:This article presents a two-level overlapping additive Schwarz algorithm designed to solve an elliptic problem discretized with the symmetric discontinuous Galerkin method. The algorithm allows for the use of irregular subdomains, overcoming limitations of other approaches where the coarse mesh was based on triangular elements. Additionally, a brief description of the numerical implementation of the Galerkin method is included. Numerical results validating the relevance of our algorithm are also presented, including cases where the coefficient of the differential equation is discontinuous, which is relevant in different applications.
País:Kérwá
Institución:Universidad de Costa Rica
Repositorio:Kérwá
Lenguaje:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/91603
Acceso en línea:https://hdl.handle.net/10669/91603
Palabra clave:Domain decomposition
Discontinuous Galerkin methods
Irregular subdomain boundaries
Overlapping Schwarz algorithms
Nodal elliptic problems