A two level overlapping Schwarz preconditioner for discontinuous Galerkin methods [Preprint]
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| Autoři: | , |
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| Médium: | artículo preliminar |
| Datum vydání: | 2024 |
| Popis: | 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. |
| Země: | Kérwá |
| Instituce: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Jazyk: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/91603 |
| On-line přístup: | https://hdl.handle.net/10669/91603 |
| Klíčové slovo: | Domain decomposition Discontinuous Galerkin methods Irregular subdomain boundaries Overlapping Schwarz algorithms Nodal elliptic problems |