Geodesic
Homogenization of the Maxwell equations: Case I. Linear theory
Applications of Mathematics, Tome 46 (2001) no. 1, pp. 29-51

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The Maxwell equations in a heterogeneous medium are studied. Nguetseng’s method of two-scale convergence is applied to homogenize and prove corrector results for the Maxwell equations with inhomogeneous initial conditions. Compactness results, of two-scale type, needed for the homogenization of the Maxwell equations are proved.
DOI : 10.1023/A:1013727504393
Classification : 35B27, 35Q60, 74Q10, 78A25, 78A48, 78M40
Keywords: Maxwell’s equations; homogenization; two-scale convergence; corrector results; heterogeneous materials; periodic coefficients; nonperiodic coefficients; compactness result; effective properties; fiber composites 
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Wellander, Niklas. Homogenization of the Maxwell equations: Case I. Linear theory. Applications of Mathematics, Tome 46 (2001) no. 1, pp. 29-51. doi: 10.1023/A:1013727504393

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