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Higher–Order Homogenization of Initial/Boundary–Value Problem
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| Jacob Fish 单 位： Dept. of Civ., Mech., and Aerosp. Engrg., Renssel Journal of Engineering Mechanics, Vol. 127, No. 12, December 2001, pp. 1223-1230 |
关键词 Boundary values;Dispersion;Composite materials;Homogeneity 摘 要Higher–order homogenization of an initial/boundary–value problem with oscillatory coefficients in one–dimension is studied. Validity range and limitations of the theory are established. We show that the higher terms are necessary to account for wave dispersion but introduce secular terms that grow unbounded in time. Numerical procedures requiring superconvergent recovery of higher–order derivatives are described.
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