Fully computable a posteriori error bounds for stabilised FEM approximations of convection-reaction-diffusion problems in three dimensions

Mark Ainsworth, Alejandro Allendes, Gabriel R. Barrenechea, Richard Rankin

Resultado de la investigación: Contribución a una revistaArtículo

16 Citas (Scopus)

Resumen

Fully computable upper bounds are developed for the discretisation error measured in the natural (energy) norm for convection-reaction-diffusion problems in three dimensions. The upper bounds are genuine upper bounds in the sense that the numerical value of the estimated error exceeds the actual numerical value of the true error regardless of the coarseness of the mesh or the nature of the data for the problem. All constants appearing in the bounds are fully specified. Examples show the estimator to be reliable and accurate even in the case of complicated three-dimensional problems. © 2013 John Wiley & Sons, Ltd.
Idioma originalInglés
Páginas (desde-hasta)765-790
Número de páginas26
PublicaciónInternational Journal for Numerical Methods in Fluids
DOI
EstadoPublicada - 30 nov 2013

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