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Boundary layer tails in periodic homogenization
Grégoire Allaire, and Micol Amar
ESAIM: Control, Optimisation and Calculus of Variations 4 209 (1999)
DOI: 10.1051/cocv:1999110
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• Effective laws for the Poisson equation on domains with curved oscillating boundaries
  N. Neuss, M. Neuss-Radu, and A. Mikelić
  Applicable Analysis 85 (5) 479 (2006)
  DOI: 10.1080/00036810500340476
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• Asymptotic Expansions of Eigenelements of the Laplace Operator in a Domain with Many “Light” Concentrated Masses Closely Located on the Boundary. Multi-Dimensional Case
  G. A. Chechkin
  Journal of Mathematical Sciences 128 (5) 3263 (2005)
  DOI: 10.1007/s10958-005-0268-y
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• Asymptotic Homogenization of Composite Materials and Structures
  Alexander L. Kalamkarov, Igor V. Andrianov, and Vladyslav V. Danishevs’kyy
  Applied Mechanics Reviews 62 (3) 030802 (2009)
  DOI: 10.1115/1.3090830
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• Shallow layer correction for Spectral Element like methods
  Y. Capdeville, and J.-J. Marigo
  Geophysical Journal International 172 (3) 1135 (2008)
  DOI: 10.1111/j.1365-246X.2007.03703.x
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• First-Order Corrector for the Homogenization of the Criticality Eigenvalue Problem in the Even Parity Formulation of the Neutron Transport
  Guillaume Bal
  SIAM Journal on Mathematical Analysis 30 (6) 1208 (1999)
  DOI: 10.1137/S0036141098338855
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• Localization for the Schrödinger Equation in a Locally Periodic Medium
  Grégoire Allaire, and Mariapia Palombaro
  SIAM Journal on Mathematical Analysis 38 (1) 127 (2006)
  DOI: 10.1137/050635572
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• Convergence Analysis for The Numerical Boundary Corrector for Elliptic Equations with Rapidly Oscillating Coefficients
  Marcus Sarkis, and Henrique Versieux
  SIAM Journal on Numerical Analysis 46 (2) 545 (2008)
  DOI: 10.1137/060654773
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• Generation of Optimal Periodic Oscillations for the Control of Boundary Layers
  Abderrahmane Habbal
  SIAM Journal on Control and Optimization 41 (3) 712 (2002)
  DOI: 10.1137/S0363012999354892
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• Homogenization of a Nonlinear Elliptic Boundary Value Problem Modeling Galvanic Currents
  Y. S. Bhat, and S. Moskow
  Multiscale Modeling and Simulation 5 (1) 149 (2006)
  DOI: 10.1137/050637042
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• Asymptotics of simple eigenvalues and eigenfunctions for the Laplace operator in a domain with an oscillating boundary
  Y. Amirat, G. A. Chechkin, and R. R. Gadyl’shin
  Computational Mathematics and Mathematical Physics 46 (1) 97 (2006)
  DOI: 10.1134/S0965542506010118
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• Asymptotic Approximation of the Solution of the Laplace Equation in a Domain with Highly Oscillating Boundary
  Y. Amirat, O. Bodart, U. De Maio, and A. Gaudiello
  SIAM Journal on Mathematical Analysis 35 (6) 1598 (2004)
  DOI: 10.1137/S0036141003414877
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• Homogenization of a Conductive and Radiative Heat Transfer Problem
  Gregoire Allaire, and Karima El Ganaoui
  Multiscale Modeling and Simulation 7 (3) 1148 (2009)
  DOI: 10.1137/080714737
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• Approximate transmission conditions through a rough thin layer: The case of periodic roughness
  I. S. CIUPERCA, M. JAI, and C. POIGNARD
  European Journal of Applied Mathematics 1 (2009)
  DOI: 10.1017/S095679250999012X
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• Boundary layers in fibrous composite materials
  Igor V. Andrianov, Vladyslav V. Danishevs’kyy and Dieter Weichert
  Acta Mechanica (2010)
  DOI: 10.1007/s00707-010-0333-6
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