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

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφείς: Calvo Alpízar, Juan Gabriel, Solano Córdoba, Moisés Eduardo
Μορφή: artículo preliminar
Ημερομηνία έκδοσης:2024
Περιγραφή: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.
Χώρα:Kérwá
Ίδρυμα:Universidad de Costa Rica
Repositorio:Kérwá
Γλώσσα:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/91603
Διαθέσιμο Online:https://hdl.handle.net/10669/91603
Λέξη-Κλειδί :Domain decomposition
Discontinuous Galerkin methods
Irregular subdomain boundaries
Overlapping Schwarz algorithms
Nodal elliptic problems