Title:
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Recovering lower bounds of the error by postprocessing implicit residual a posteriori error estimates
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Author:
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Díez, Pedro; Parés Mariné, Núria; Huerta, Antonio
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
Abstract:
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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. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica -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 |
Rights:
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Document type:
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Article - Submitted version Article |
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