Adaptive finite element methods for elliptic equations with non-smooth coefficients |
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| Authors: | C. Bernardi and R. Verfürth |
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| Affiliation: | (1) Analyse Numérique, C.N.R.S. Université Pierre et Marie Curie, B.C. 187, 4 place Jussieu, F-75252 Paris Cedex 05, France; e-mail: bernardi@ann.jussieu.fr , FR;(2) Fakult?t für Mathematik, Ruhr-Universit?t Bochum, D-44780 Bochum, Germany; e-mail: rv@silly.num1.ruhr-uni-bochum.de , DE |
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| Abstract: | 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. Received February 5, 1999 / Published online March 16, 2000 |
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| Keywords: | Mathematics Subject Classification (1991):65N30 |
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