On the approximation of a virtual coarse space for domain decomposition methods in two dimensions
Gorde:
| Egilea: | |
|---|---|
| Formatua: | artículo original |
| Argitaratze data: | 2018 |
| Deskribapena: | A new extension operator for a virtual coarse space is presented which can be used in domain decomposition methods for nodal elliptic problems in two dimensions. In particular, a two-level overlapping Schwarz algorithm is considered and a bound for the condition number of the preconditioned system is obtained. This bound is independent of discontinuities across the interface. The extension operator saves computational time compared to previous studies where discrete harmonic extensions are required and it is suitable for general polygonal meshes and irregular subdomains. Numerical experiments that verify the result are shown, including some with regular and irregular polygonal elements and with subdomains obtained by a mesh partitioner. |
| Herria: | Kérwá |
| Erakundea: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/77386 |
| Sarrera elektronikoa: | https://www.worldscientific.com/doi/abs/10.1142/S0218202518500343?journalCode=m3as& https://hdl.handle.net/10669/77386 |
| Access Level: | acceso abierto |
| Gako-hitza: | Domain Decomposition Virtual element methods Irregular subdomain boundaries Overlapping Schwarz algorithms Nodal elliptic problems |