A posteriori error control for fully discrete crank-nicolson schemes
We derive residual-based a posteriori error estimates of optimal order for fully discrete approximations for linear parabolic problems. The time discretization uses the Crank- Nicolson method, and the space discretization uses finite element spaces that are allowed to change in time. The main tool i...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/558 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/558 |
| Access Level: | acceso abierto |
| Palabra clave: | A posteriori error estimators Crank-Nicolson method Parabolic problem |
| Sumario: | We derive residual-based a posteriori error estimates of optimal order for fully discrete approximations for linear parabolic problems. The time discretization uses the Crank- Nicolson method, and the space discretization uses finite element spaces that are allowed to change in time. The main tool in our analysis is the comparison with an appropriate reconstruction of the discrete solution, which is introduced in the present paper. |
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