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Exact bounds for linear outputs of the advection-diffusion-reaction equation using flux-free error estimates
Parés Mariné, Núria; Díez, Pedro; Huerta, Antonio
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
The paper introduces a methodology to compute strict upper and lower bounds for inear-functional outputs of the exact solutions of the advection-reaction-diffusion equation. The proposed approach is an alternative to the standard residual type estimators (hybrid-flux), circumventing the need of flux-equilibration following a flux-free error estimation strategy. The presented estimator provides sharper estimates than the ones provided by both the standard hybrid-flux techniques and other flux-free techniques.
2012-05-10
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Finite element method--Mathematics
Elements finits, Mètode dels -- Anàlisi numèrica
Open Access
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