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

 

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Yazarlar: Calvo Alpízar, Juan Gabriel, Solano Córdoba, Moisés Eduardo
Materyal Türü: artículo preliminar
Yayın Tarihi:2024
Diğer Bilgiler: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.
Ülke:Kérwá
Kurum:Universidad de Costa Rica
Repositorio:Kérwá
Dil:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/91603
Online Erişim:https://hdl.handle.net/10669/91603
Anahtar Kelime:Domain decomposition
Discontinuous Galerkin methods
Irregular subdomain boundaries
Overlapping Schwarz algorithms
Nodal elliptic problems