TY - JOUR
T1 - Optimization of dispersive coefficients in the homogenization of the wave equation in periodic structures
AU - Allaire, G.
AU - Yamada, T.
N1 - Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2018/10/1
Y1 - 2018/10/1
N2 - 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 dispersion. More precisely, we consider the case of a two-phase composite medium with an eightfold symmetry assumption of the periodicity cell in two space dimensions. We obtain upper and lower bound for the dispersive properties, along with optimal microgeometries.
AB - 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 dispersion. More precisely, we consider the case of a two-phase composite medium with an eightfold symmetry assumption of the periodicity cell in two space dimensions. We obtain upper and lower bound for the dispersive properties, along with optimal microgeometries.
U2 - 10.1007/s00211-018-0972-4
DO - 10.1007/s00211-018-0972-4
M3 - Article
AN - SCOPUS:85047425219
SN - 0029-599X
VL - 140
SP - 265
EP - 326
JO - Numerische Mathematik
JF - Numerische Mathematik
IS - 2
ER -