Higher-Order Homogenization of Initial/Boundary-Value Problem
Publication: Journal of Engineering Mechanics
Volume 127, Issue 12
Abstract
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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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 127 • Issue 12 • December 2001
Pages: 1223 - 1230
History
Received: Aug 30, 2000
Published online: Dec 1, 2001
Published in print: Dec 2001
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