A two-level overlapping Schwarz preconditioner for discontinuous Galerkin methods

 

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Bibliografske podrobnosti
Autores: Calvo, Juan G., Solano, Moisés
Format: artículo original
Status:Versión publicada
Fecha de Publicación:2025
Opis:This article introduces a two-level overlapping additive Schwarz algorithm tailored for solving elliptic problems discretized with the symmetric interior penalty discontinuous Galerkin method. The proposed algorithm allows for the use of irregular subdomains, overcoming limitations of other approaches where the coarse mesh was based on triangular elements. Additionally, we provide a brief description of the numerical implementation of the Galerkin method. We present numerical results validating the relevance of our algorithm, including cases where the coefficient of the differential equation is discontinuous—a feature that is particularly relevant to various practical applications.
País:Portal de Revistas UCR
Institucija:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Jezik:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/59472
Online dostop:https://revistas.ucr.ac.cr/index.php/matematica/article/view/59472
Ključna beseda:Descomposición de dominios
Métodos discontinuos de Galerkin
Subdominios con frontera irregular
Algoritmos con traslape de Schwarz
Problemas elípticos nodales
Domain decomposition
Discontinuous Galerkin methods
Irregular subdomain boundaries
Overlapping Schwarz algorithms
Nodal elliptic problems