Postprocessing finite-element methods for the Navier–Stokes Equations: the Fully discrete case
An accuracy-enhancing postprocessing technique for finite-element discretizations of the Navier–Stokes equations is analyzed. The technique had been previously analyzed only for semidiscretizations, and fully discrete methods are addressed in the present paper. We show that the increased spatial acc...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/57593 |
| Acceso en línea: | http://hdl.handle.net/11441/57593 https://doi.org/10.1137/070707580 |
| Access Level: | acceso abierto |
| Palabra clave: | Navier–Stokes equations Mixed finite-element methods Time-stepping methods Optimal regularity Error estimates Backward Euler method Two-step BDF |
| Sumario: | An accuracy-enhancing postprocessing technique for finite-element discretizations of the Navier–Stokes equations is analyzed. The technique had been previously analyzed only for semidiscretizations, and fully discrete methods are addressed in the present paper. We show that the increased spatial accuracy of the postprocessing procedure is not affected by the errors arising from any convergent time-stepping procedure. Further refined bounds are obtained when the timestepping procedure is either the backward Euler method or the two-step backward differentiation formula. |
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