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Reduction of the resonance error. I: Approximation of homogenized coefficients. (English) Zbl 1233.35016

The author studies the issue of computing effective coefficients in the presence of resonance errors, i.e. when terms involving \(\frac{\eta}{\epsilon}\) occur. Here \(\epsilon\) refers to the length scale of the microstructures, and \(\eta\) is a characteristic macroscopic length scale. A couple of numerical examples are given.

MSC:

35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
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References:

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