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

 

Sparad:
Bibliografiska uppgifter
Författarna: Calvo Alpízar, Juan Gabriel, Solano Córdoba, Moisés Eduardo
Materialtyp: artículo preliminar
Utgivningstid:2024
Beskrivning: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.
Land:Kérwá
Organisation:Universidad de Costa Rica
Repositorio:Kérwá
Språk:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/91603
Länkar:https://hdl.handle.net/10669/91603
Nyckelord:Domain decomposition
Discontinuous Galerkin methods
Irregular subdomain boundaries
Overlapping Schwarz algorithms
Nodal elliptic problems