Estimates from above and from below for the homogenized coefficients |
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Authors: | Luisa Donatella Marini |
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Institution: | (1) Istituto di Analisi Numerica del C.N.R., Corso C. Alberto 5, 1-27100 Pavia, Italy |
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Abstract: | Summary The computation of the homogenized coefficients involves the solution of a minimum problem for a quadratic functional. The use of conforming finite elements provides estimates from above. In this paper we prove that, under realistic assumptions, the use of linear non-conforming finite elements provides estimates from below. Hence, a-posteriori error estimates for the homogenized coefficients can be obtained. |
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Keywords: | AMS(MOS):65N30 CR: G1 8 |
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