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

 

Tallennettuna:
Bibliografiset tiedot
Tekijät: Calvo Alpízar, Juan Gabriel, Solano Córdoba, Moisés Eduardo
Aineistotyyppi: artículo preliminar
Julkaisupäivä:2024
Kuvaus: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.
Maa:Kérwá
Organisaatio:Universidad de Costa Rica
Repositorio:Kérwá
Kieli:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/91603
Linkit:https://hdl.handle.net/10669/91603
Sanahaku:Domain decomposition
Discontinuous Galerkin methods
Irregular subdomain boundaries
Overlapping Schwarz algorithms
Nodal elliptic problems