Recovering lower bounds of the error by postprocessing implicit residual a posteriori error estimates
Classical residual type error estimators approximate the error flux around the elements and yield upper bounds of the exact (or reference) error. Lower bounds of the error are also needed in goal oriented adaptivity and for bounds on functional outputs. This work introduces a simple and cheap strate...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/8527 |
| Acceso en línea: | https://hdl.handle.net/2117/8527 https://dx.doi.org/10.1002/nme.620 |
| Access Level: | acceso abierto |
| Palabra clave: | Error analysis (Mathematics) Boundary element methods implicit residual type error estimator upper and lower bounds quality assessment Anàlisi d'error (Matemàtica) Elements de contorn, Mètode dels Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica |
| Sumario: | Classical residual type error estimators approximate the error flux around the elements and yield upper bounds of the exact (or reference) error. Lower bounds of the error are also needed in goal oriented adaptivity and for bounds on functional outputs. This work introduces a simple and cheap strategy to recover a lower bound estimate from standard upper bound estimates. This lower bound may also be used to assess the effectivity of the former estimate and to improve it. |
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