Abstract
A boundary value problem in an heterogeneous medium is numerically impossible to solve if the number of heterogeneities is very large. The homogenization consists in replacing the heterogeneous medium by an "equivalent" homogeneous one. In the particular case of a periodical distribution of heterogeneities, results on the mathematical aspects of the homogenization have been obtained recently. We present here some numerical experiments on the computation of the homogenized operator, the approximation of the real solution by the homogenized one and the efficiency of "correctors" to approximate the periodic behaviour of the solution.
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Bourgat, J.F. (1979). Numerical experiments of the homogenization method. In: Glowinski, R., Lions, J.L., Laboria, I. (eds) Computing Methods in Applied Sciences and Engineering, 1977, I. Lecture Notes in Mathematics, vol 704. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063630
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DOI: https://doi.org/10.1007/BFb0063630
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