Summary. We consider a second-order elliptic equation with discontinuous or anisotropic coefficients in a bounded two- or three dimensional domain, and its finite-element discretization. The aim of this paper is to prove some a priori and a posteriori error estimates in an appropriate norm, which are independent of the variation of the coefficients.
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Nous considérons une équation elliptique du second ordre à coefficients discontinus ou anisotropes dans un domaine borné en dimension 2 ou 3, et sa discrétisation par éléments finis. Le but de cet article est de démontrer des estimations d'erreur a priori et a posteriori dans une norme appropriée qui soient indépendantes de la variation des coefficients.
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Received February 5, 1999 / Published online March 16, 2000
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Bernardi, C., Verfürth, R. Adaptive finite element methods for elliptic equations with non-smooth coefficients. Numer. Math. 85, 579–608 (2000). https://doi.org/10.1007/PL00005393
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DOI: https://doi.org/10.1007/PL00005393