Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures

We study dispersive effects of wave propagation in periodic media, which can be modelled by adding a fourth-order term in the homogenized equation. The corresponding fourth-order dispersive tensor is called Burnett tensor and we numerically optimize its values in order to minimize or maximize disper...

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Bibliographic Details
Published in:	Numerische Mathematik Vol. 140; no. 2; pp. 265 - 326
Main Authors:	Allaire, Grégoire, Yamada, T
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Science and Business Media LLC 01.10.2018 Springer Berlin Heidelberg Springer Nature B.V Springer Verlag
Subjects:	49K20 [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] Bloch waves dispersion homogenization Lower bounds Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematical models Mathematics Mathematics and Statistics MSC 35B27 MSC 35B27, 49K20 Numerical Analysis Numerical and Computational Physics Optimization Optimization and Control periodic structure Periodic structures Periodic variations shape optimization Simulation Theoretical Wave dispersion Wave equations Wave propagation 35B27 49K20 homogenization periodic structure shape optimization Bloch waves dispersion
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
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