Anisotropic error estimates for elliptic problems |
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| Authors: | L Formaggia S Perotto |
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| Institution: | (1) Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland; e-mail: luca.formaggia@epfl.ch, CH;(2) MOX - Modeling and Scientific Computing, Department of Mathematics ``F. Brioschi', Politecnico of Milan, Italy; e-mail: simona@mate.polimi.it, IT |
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| Abstract: | Summary. Moving from the anisotropic interpolation error estimates derived in 12], we provide here both a-priori and a-posteriori
estimates for a generic elliptic problem. The a-priori result is deduced by following the standard finite element theory.
For the a-posteriori estimate, the analysis extends to anisotropic meshes the theory presented in 3–5]. Numerical test-cases
validate the derived results.
Received July 22, 2001 / Revised version received March 20, 2002 / Published online July 18, 2002
Mathematics Subject Classification (1991): 65N15, 65N50 |
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