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1

Homogenization Near Resonances and Artificial Magnetism in Three Dimensional Dielectric Metamaterials

Bouchitté, Guy, Bourel, Christophe, Felbacq, Didier

Journal:

Archive for Rational Mechanics and Analysis

Year:

2017

Language:

english

File:

PDF, 1.29 MB

english, 2017

2

A Variational Method for Second Order Shape Derivatives

Bouchitté, Guy, Fragalà, Ilaria, Lucardesi, Ilaria

Journal:

SIAM Journal on Control and Optimization

Year:

2016

Language:

english

File:

PDF, 340 KB

english, 2016

3

Integral representation of convex functionals on a space of measures

Guy Bouchitté, Michel Valadier

Journal:

Journal of Functional Analysis

Year:

1988

Language:

english

File:

PDF, 1.01 MB

english, 1988

4

Second-order energies on thin structures: variational theory and non-local effects

Guy Bouchitté, Ilaria Fragalà

Journal:

Journal of Functional Analysis

Year:

2003

Language:

english

File:

PDF, 391 KB

english, 2003

5

Relaxation of variational problems under trace constraints

Guy Bouchitté, Irene Fonseca, Luı́sa Mascarenhas

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2002

Language:

english

File:

PDF, 206 KB

english, 2002

6

Homogenization of second order energies on periodic thin structures

Guy Bouchitté, Ilaria Fragalá, M. Rajesh

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2004

Language:

english

File:

PDF, 381 KB

english, 2004

7

Energies with respect to a measure and applications to low dimensional structures

Guy Bouchitte, Giuseppe Buttazzo, Pierre Seppecher

Journal:

Calculus of Variations and Partial Differential Equations

Year:

1996

Language:

english

File:

PDF, 198 KB

english, 1996

8

The calibration method for the Mumford-Shah functional and free-discontinuity problems

Giovanni Alberti, Guy Bouchitté, Gianni Dal Maso

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2003

Language:

english

File:

PDF, 335 KB

english, 2003

9

Homogenization of a Wire Photonic Crystal: The Case of Small Volume Fraction

Bouchitté, Guy, Felbacq, Didier

Journal:

SIAM Journal on Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 1.72 MB

english, 2006

10

A nonstandard free boundary problem arising in the shape optimization of thin torsion rods

Alibert, Jean Jacques, Bouchitté, Guy, Fragalà, Ilaria, Lucardesi, Ilaria

Journal:

Interfaces and Free Boundaries

Year:

2013

Language:

english

File:

PDF, 328 KB

english, 2013

11

Homogenization of a Wire Photonic Crystal: The Case of Small Volume Fraction

Guy Bouchitté and Didier Felbacq

Journal:

SIAM Journal on Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 1.72 MB

english, 2006

12

Duality for non-convex variational problems

Bouchitté, Guy, Fragalà, Ilaria

Journal:

Comptes Rendus Mathematique

Year:

2015

Language:

english

File:

PDF, 253 KB

english, 2015

13

SPIE Proceedings [SPIE SPIE Nanoscience + Engineering - San Diego, California, United States (Sunday 28 August 2016)] Nanostructured Thin Films IX - Homogenization of a highly contrasted bidimensional array of holes

Lakhtakia, Akhlesh, Mackay, Tom G., Suzuki, Motofumi, Bouchitté, Guy, Bourel, Christophe, Felbacq, Didier, Kling, Emmanuel

Year:

2016

Language:

english

File:

PDF, 286 KB

english, 2016

14

Sensitivity of the Compliance and of the Wasserstein Distance with Respect to a Varying Source

Bouchitté, Guy, Fragalà, Ilaria, Lucardesi, Ilaria

Journal:

Applied Mathematics & Optimization

Year:

2017

Language:

english

File:

PDF, 530 KB

english, 2017

15

A duality recipe for non-convex variational problems

Bouchitté, Guy, Phan, Minh

Journal:

Comptes Rendus Mécanique

Year:

2017

Language:

english

File:

PDF, 931 KB

english, 2017

16

A Duality Theory for Non-convex Problems in the Calculus of Variations

Bouchitté, Guy, Fragalà, Ilaria

Journal:

Archive for Rational Mechanics and Analysis

Year:

2018

Language:

english

File:

PDF, 3.06 MB

english, 2018

17

On the forces that cable webs under tension can support and how to design cable webs to channel stresses

Bouchitté, Guy, Mattei, Ornella, Milton, Graeme W., Seppecher, Pierre

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2019

Language:

english

File:

PDF, 651 KB

english, 2019

18

New lower semicontinuity results for nonconvex functionals defined on measures

Guy Bouchitté, Giuseppe Buttazzo

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1990

Language:

english

File:

PDF, 841 KB

english, 1990

19

Homogenization near resonances and artificial magnetism from dielectrics

Guy Bouchitté, Didier Felbacq

Journal:

Comptes Rendus Mathematique

Year:

2004

Language:

french

File:

PDF, 121 KB

french, 2004

20

3D–2D analysis for the optimal elastic compliance problem

Guy Bouchitté, Ilaria Fragalà, Pierre Seppecher

Journal:

Comptes Rendus Mathematique

Year:

2007

Language:

french

File:

PDF, 135 KB

french, 2007

21

Homogenization of the 3D Maxwell system near resonances and artificial magnetism

Guy Bouchitté, Christophe Bourel, Didier Felbacq

Journal:

Comptes Rendus Mathematique

Year:

2009

File:

PDF, 150 KB

2009

22

The optimal compliance problem for thin torsion rods: A 3D-1D analysis leading to Cheeger-type solutions

Guy Bouchitté, Ilaria Fragalà, Pierre Seppecher

Journal:

Comptes Rendus Mathematique

Year:

2010

Language:

french

File:

PDF, 502 KB

french, 2010

23

Asymptotic analysis of a class of optimal location problems

Guy Bouchitté, Chloé Jimenez, Rajesh Mahadevan

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2011

File:

PDF, 404 KB

2011

24

Do Fresnel coefficients exist?

Guy Bouchitté, Didier Felbacq, Frédéric Zolla

Journal:

Year:

2005

Language:

english

File:

PDF, 426 KB

english, 2005

25

Bounds for the effective coefficients of homogenized low-dimensional structures

Guy Bouchitté, Giuseppe Buttazzo, Ilaria Fragalà

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2002

Language:

english

File:

PDF, 383 KB

english, 2002

26

The calibration method for the mumford-shah functional

Giovanni Alberti, Guy Bouchitté, Gianni Dal Maso

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

File:

PDF, 462 KB

1999

27

Mathématiques/Mathematics Shape optimization solutions via Monge-Kantorovich equation

Guy Bouchitté, Giuseppe Buttazzo, Pierre Seppecher

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1997

File:

PDF, 431 KB

1997

28

Homogénéisation de problèmes elliptiques dégénérés

Michel Bellieud, Guy Bouchitté

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1998

Language:

english

File:

PDF, 387 KB

english, 1998

29

Asymptotique d'un problème de positionnement optimal

Guy Bouchitté, Chloé Jimenez, Mahadevan Rajesh

Journal:

Comptes Rendus Mathematique

Year:

2002

File:

PDF, 77 KB

2002

30

Excitonic states and their wave functions in anisotropic materials: A computation using the finite-element method and its application to AlN

Bernard Gil, Didier Felbacq, Brahim Guizal, Guy Bouchitté

Journal:

physica status solidi (b)

Year:

2012

Language:

english

File:

PDF, 312 KB

english, 2012

31

Singular perturbations of variational problems arising from a two-phase transition model

Journal:

Applied Mathematics & Optimization

Year:

1990

Language:

english

File:

PDF, 1.29 MB

english, 1990

32

Relaxation of bulk and interfacial energies

Ana Cristina Barroso, Guy Bouchitté, Giuseppe Buttazzo, Irene Fonseca

Journal:

Archive for Rational Mechanics and Analysis

Year:

1996

Language:

english

File:

PDF, 2.61 MB

english, 1996

33

Convergence of Sobolev spaces on varying manifolds

Guy Bouchitté, Giuseppe Buttazzo, Ilaria Fragalà

Journal:

Journal of Geometric Analysis

Year:

2001

Language:

english

File:

PDF, 1.30 MB

english, 2001

34

A complete-damage problem at small strains

Guy Bouchitté, Alexander Mielke, Tomáš Roubíček

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2009

Language:

english

File:

PDF, 451 KB

english, 2009

35

A Global Method for Relaxation in W1,pand in SBVp

GUY BOUCHITTÉ, IRENE FONSECA, GIOVANNI LEONI, LUÍSA MASCARENHAS

Journal:

Archive for Rational Mechanics and Analysis

Year:

2002

Language:

english

File:

PDF, 398 KB

english, 2002

36

Optimality Conditions for Mass Design Problems and Applications to Thin Plates

Guy Bouchitté, Ilaria Fragalà

Journal:

Archive for Rational Mechanics and Analysis

Year:

2007

Language:

english

File:

PDF, 288 KB

english, 2007

37

Structural Optimization of Thin Elastic Plates: The Three Dimensional Approach

Guy Bouchitté, Ilaria Fragalà, Pierre Seppecher

Journal:

Archive for Rational Mechanics and Analysis

Year:

2011

Language:

english

File:

PDF, 516 KB

english, 2011

38

Phase Transition with the Line‐Tension Effect

Giovanni Alberti, Guy Bouchitté, Pierre Seppecher

Journal:

Archive for Rational Mechanics and Analysis

Year:

1998

Language:

english

File:

PDF, 604 KB

english, 1998

39

A Global Method for Relaxation

Guy Bouchitté, Irene Fonseca, Luisa Mascarenhas

Journal:

Archive for Rational Mechanics and Analysis

Year:

1998

Language:

english

File:

PDF, 329 KB

english, 1998

40

Characterization of optimal shapes and masses through Monge-Kantorovich equation

Guy Bouchitté, Giuseppe Buttazzo

Journal:

Journal of the European Mathematical Society

Year:

2001

Language:

english

File:

PDF, 264 KB

english, 2001

41

Bending Moment in Membrane Theory

Guy Bouchitté, Irene Fonseca, M. Luísa Mascarenhas

Journal:

Journal of Elasticity

Year:

2003

Language:

english

File:

PDF, 221 KB

english, 2003

42

Left-handed media and homogenization of photonic crystals

Felbacq, Didier, Bouchitté, Guy

Journal:

Year:

2005

Language:

english

File:

PDF, 264 KB

english, 2005

43

Optimal Thin Torsion Rods and Cheeger Sets

Bouchitté, Guy, Fragalà, Ilaria, Lucardesi, Ilaria, Seppecher, Pierre

Journal:

SIAM Journal on Mathematical Analysis

Year:

2012

Language:

english

File:

PDF, 365 KB

english, 2012

44

Homogenization of Thin Structures by Two-Scale Method with Respect to Measures

Bouchitté, Guy, Fragalà, Ilaria

Journal:

SIAM Journal on Mathematical Analysis

Year:

2001

Language:

english

File:

PDF, 324 KB

english, 2001

45

Optimal Design of Thin Plates by a Dimension Reduction for Linear Constrained Problems

Bouchitté, Guy, Fragalà, Ilaria

Journal:

SIAM Journal on Control and Optimization

Year:

2007

Language:

english

File:

PDF, 236 KB

english, 2007

46

Homogenization of Dielectric Photonic Quasi Crystals

Bouchitté, Guy, Guenneau, Sébastien, Zolla, Frédéric

Journal:

Multiscale Modeling and Simulation

Year:

2010

Language:

english

File:

PDF, 294 KB

english, 2010

47

Thin waveguides with Robin boundary conditions

Bouchitté, Guy, Mascarenhas, Luísa, Trabucho, Luís

Journal:

Journal of Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 593 KB

english, 2012

48

Shape derivatives for minima of integral functionals

Bouchitté, Guy, Fragalà, Ilaria, Lucardesi, Ilaria

Journal:

Mathematical Programming

Year:

2014

Language:

english

File:

PDF, 360 KB

english, 2014

49

Direct Methods in the Calculus of Variations.by B. Dacorogna

Review by: Guy Bouchitte

Journal:

Year:

1991

Language:

english

File:

PDF, 327 KB

english, 1991

50

Minimization Variational Principles for Acoustics, Elastodynamics and Electromagnetism in Lossy Inhomogeneous Bodies at Fixed Frequency

Graeme W. Milton, Pierre Seppecher and Guy Bouchitté

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2009

Language:

english

File:

PDF, 2.06 MB

english, 2009

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