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.
CitationPares, N.; Díez, P.; Huerta, A. Exact bounds for linear outputs of the advection-diffusion-reaction equation using flux-free error estimates. "SIAM journal on scientific computing", Gener 2009, vol. 31, núm. 4, p. 3064-3089.
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