Number of documents

151

structural optimization


Journal articles105 documents

  • Guy Bouchitté, Ilaria Fragalà. A Duality Theory for Non-convex Problems in the Calculus of Variations. Archive for Rational Mechanics and Analysis, Springer Verlag, 2018, 229 (1), pp.361 - 415. ⟨10.1007/s00205-018-1219-3⟩. ⟨hal-01804593⟩
  • Guy Bouchitté, Pierre Bousquet. ON A DEGENERATE PROBLEM IN THE CALCULUS OF VARIATIONS. Transactions of the American Mathematical Society, In press. ⟨hal-01405468v2⟩
  • Guy Bouchitté, Tran Duc Minh Phan. A duality recipe for non-convex variational problems. Comptes Rendus Mécanique, Elsevier Masson, 2018, 346 (3), pp.206 - 221. ⟨10.1016/j.crme.2017.12.011⟩. ⟨hal-01803520⟩
  • Guy Bouchitté, Christophe Bourel, Didier Felbacq. Homogenization near resonances and artificial magnetism in 3D dielectric metamaterials . Archive for Rational Mechanics and Analysis, Springer Verlag, 2017, 225 (3), pp.1233-1277. ⟨https://link.springer.com/article/10.1007/s00205-017-1132-1⟩. ⟨hal-01240316⟩
  • Guy Bouchitté, Ilaria Fragalà, Ilaria Lucardesi. Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source. Applied Mathematics and Optimization, Springer Verlag (Germany), 2017, ⟨10.1007/s00245-017-9455-8⟩. ⟨hal-01635229⟩
  • Guy Bouchitté, Giuseppe Buttazzo. Optimal design problems for Schrödinger operators with noncompact resolvents . ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2016, ⟨ ⟩. ⟨10.1051/cocv/2016009⟩. ⟨hal-01312614⟩
  • Guy Bouchitté, Ilaria Fragalà, Ilaria Lucardesi. A Variational Method for Second Order Shape Derivatives. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2016, 54 (2), pp.1056-1084. ⟨http://dx.doi.org/10.1137/15100494X⟩. ⟨hal-01312617⟩
  • Guy Bouchitté, Christophe Bourel, Luigi Manca. Resonant effects in random dielectric structures. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2015, 21 (1), pp.217--246. ⟨10.1051/cocv/2014026⟩. ⟨hal-01283185⟩
  • Guy Bouchitté, Ilaria Fragalà. Duality for non-convex variational problems. Comptes Rendus Mathématique, Elsevier Masson, 2015, 353 (4), pp.375--379. ⟨10.1016/j.crma.2015.01.014⟩. ⟨hal-01283184⟩
  • Ilaria Fragalà, Ilaria Lucardesi, Guy Bouchitté. Shape derivatives for minima of integral functionals. Mathematical Programming B, Springer, 2014, pp.27. ⟨10.1007/s10107-013-0712-6⟩. ⟨hal-01127679⟩
  • Jean-Jacques Alibert, Guy Bouchitté, Ilaria Fragalà, Ilaria Lucardesi. A nonstandard free boundary problem arising in the shape optimization of thin torsion rods. Interfaces Free Boundaries, 2013, 15 (1), pp.95-119. ⟨10.4171/IFB/296⟩. ⟨hal-00993897⟩
  • Guy Bouchitté, Ben Schweizer. Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings. Netw. Heterog. Media, 2013, 8 (4), pp.857--878. ⟨10.3934/nhm.2013.8.857⟩. ⟨hal-01283186⟩
  • Guy Bouchitté, Ilaria Fragalà, Ilaria Lucardesi, Pierre Seppecher. Optimal thin torsion rods and Cheeger sets. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2012, 44 (1), pp.483--512. ⟨10.1137/110828538⟩. ⟨hal-01283189⟩
  • Bernard Gil, Didier Felbacq, Brahim Guizal, Guy Bouchitté. Excitonic states and their wave functions in anisotropic materials: a computation using the finite element method and its application to AlN. physica status solidi (b), Wiley, 2012, 249 (3), pp.455. ⟨hal-00686782⟩
  • Guy Bouchitté, C. Bourel. Multiscale nanorod metamaterials and realizable permittivity tensors. Communications in Computational Physics, Global Science Press, 2012, 11 (2), pp.489--507. ⟨10.4208/cicp.171209.110810s⟩. ⟨hal-01283187⟩
  • Guy Bouchitté, Lu\'ısa Mascarenhas, Lu\'ıs Trabucho. Thin waveguides with Robin boundary conditions. Journal of Mathematical Physics, American Institute of Physics (AIP), 2012, 53 (12), pp.123517, 24. ⟨10.1063/1.4768462⟩. ⟨hal-01283188⟩
  • Alexandru Ioan Căbuz, André Nicolet, Frederic Zolla, Didier Felbacq, Guy Bouchitté. Homogenization of nonlocal wire metamaterial via a renormalization approach. Journal of the Optical Society of America. B, Optical Physics, The Society, 2011. ⟨hal-01281122⟩
  • Guy Bouchitté, Ilaria Fragalà, Pierre Seppecher. Structural Optimization of Thin Elastic Plates: The Three Dimensional Approach. Archive for Rational Mechanics and Analysis, Springer Verlag, 2011, 202 (3), pp.829-874. ⟨10.1007/s00205-011-0435-x⟩. ⟨hal-01294103⟩
  • Alexandru Cabuz, A. Nicolet, F. Zolla, Didier Felbacq, Guy Bouchitté. Homogenization of nonlocal wire metamaterial via a renormalization approach. Journal of the Optical Society of America B, Optical Society of America, 2011, 28 (5), pp.1275-1282. ⟨10.1364/JOSAB.28.001275⟩. ⟨hal-00808333⟩
  • B. Gil, B. Guizal, D. Felbacq, Guy Bouchitté. Quantitative interpretation of the excitonic splittings in aluminum nitride. European Physical Journal: Applied Physics, EDP Sciences, 2011, 53 (2), ⟨10.1051/epjap/2010100448⟩. ⟨hal-00663998⟩
  • Bernard Gil, B. Guizal, D. Felbacq, Guy Bouchitté. Quantitative interpretation of the excitonic splitting in aluminum nitride. European Physical Journal: Applied Physics, EDP Sciences, 2011, 53 (2), pp.3. ⟨10.1051/epjap/2010100448⟩. ⟨hal-00633617⟩
  • Guy Bouchitté, Chloé Jimenez, Rajesh Mahadevan. Asymptotic analysis of a class of optimal location problems. Journal de Mathématiques Pures et Appliquées, Elsevier, 2011, 95 (4), pp.382--419. ⟨10.1016/j.matpur.2010.10.009⟩. ⟨hal-01283190⟩
  • Guy Bouchitté, Giuseppe Buttazzo, Luigi de Pascale. The Monge-Kantorovich problem for distributions and applications. J. Convex Anal., 2010, 17 (3-4), pp.925--943. ⟨hal-01283194⟩
  • Guy Bouchitté, Ilaria Fragalà, Pierre Seppecher. The optimal compliance problem for thin torsion rods: a 3D-1D analysis leading to Cheeger-type solutions. Comptes Rendus Mathématique, Elsevier Masson, 2010, 348 (7-8), pp.467--471. ⟨10.1016/j.crma.2010.01.006⟩. ⟨hal-01283191⟩
  • Guy Bouchitté, Sébastien Guenneau, Frédéric Zolla. Homogenization of Dielectric Photonic Quasi Crystals. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2010, 8 (5), pp.1862-1881. ⟨10.1137/090770333⟩. ⟨hal-00544537⟩
  • Guy Bouchitté, Ben Schweizer. Homogenization of Maxwell's equations in a split ring geometry. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2010, 8 (3), pp.717--750. ⟨10.1137/09074557X⟩. ⟨hal-01283192⟩
  • Guy Bouchitté, Ben Schweizer. Cloaking of small objects by anomalous localized resonance. Quarterly Journal of Mechanics and Applied Mathematics, Oxford University Press (OUP), 2010, 63 (4), pp.437--463. ⟨10.1093/qjmam/hbq008⟩. ⟨hal-01283193⟩
  • Guy Bouchitté, Alexander Mielke, Tomáš Roub\'ıček. A complete-damage problem at small strains. Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 2009, 60 (2), pp.205--236. ⟨10.1007/s00033-007-7064-0⟩. ⟨hal-01283195⟩
  • Irene Fonseca, M. Lu\'ısa Mascarenhas, Guy Bouchitté. The Cosserat vector in membrane theory: a variational approach. J. Convex Anal., 2009, 16 (2), pp.351--365. ⟨hal-01283196⟩
  • Christophe Bourel, Didier Felbacq, Guy Bouchitté, Christophe Bourel. Homogenization of the 3D Maxwell system near resonances and artificial magnetism. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2009, 347, pp.571-576. ⟨10.1016/j.crma.2009.02.027⟩. ⟨hal-00385882⟩
  • D. Felbacq, Brahim Guizal, Christophe Bourel, Guy Bouchitté. Effective properties of membrane photonic crystals. Journal of Nanophotonics, Society of Photo-optical Instrumentation Engineers, 2009, 3, pp.031507. ⟨10.1117/1.3097796⟩. ⟨hal-00385872⟩
  • E. Acerbi, Guy Bouchitté. A general class of phase transition models with weighted interface energy. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2008, 25 (6), pp.1111--1143. ⟨10.1016/j.anihpc.2007.09.004⟩. ⟨hal-01283197⟩
  • Frédéric Zolla, Guy Bouchitté, Sébastien Guenneau. Pure currents in foliated waveguides. Quaterly Journal Mechanics Applied Mathematics, 2008, 61, pp.453-474. ⟨10.1093/qjmam/hbn015⟩. ⟨hal-00439076⟩
  • Guy Bouchitté, Wilfrid Gangbo, Pierre Seppecher. Michell Trusses and Lines of Principal Action. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2008, 18 (9), pp.1571-1603. ⟨hal-00528973⟩
  • D. Felbacq, Guy Bouchitté, B. Guizal, A. Moreau. Two-scale approach to the homogenization of membrane photonic crystals. Journal of Nanophotonics, Society of Photo-optical Instrumentation Engineers, 2008, 2 (1), pp. 023501. ⟨10.1117/1.2884039⟩. ⟨hal-00255910⟩
  • Guy Bouchitté, Ilaria Fragalà. Optimality conditions for mass design problems and applications to thin plates. Archive for Rational Mechanics and Analysis, Springer Verlag, 2007, 184 (2), pp.257--284. ⟨10.1007/s00205-006-0022-8⟩. ⟨hal-01283198⟩
  • Guy Bouchitté, M. Lu\'ısa Mascarenhas, Lu\'ıs Trabucho. On the curvature and torsion effects in one dimensional waveguides. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2007, 13 (4), pp.793--808. ⟨10.1051/cocv:2007042⟩. ⟨hal-01283201⟩
  • Guy Bouchitté, Ilaria Fragalà, Pierre Seppecher. 3D-2D analysis for the optimal elastic compliance problem. Comptes Rendus Mathématique, Elsevier Masson, 2007, 345 (12), pp.713--718. ⟨10.1016/j.crma.2007.10.039⟩. ⟨hal-01283202⟩
  • Guy Bouchitté, Ilaria Fragalà. Optimal design of thin plates by a dimension reduction for linear constrained problems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2007, 46 (5), pp.1664--1682. ⟨10.1137/060671474⟩. ⟨hal-01283200⟩
  • Guy Bouchitté, Chloé Jimenez, M. Rajesh. A new L^∞ estimate in optimal mass transport. Proceedings of the American Mathematical Society, American Mathematical Society, 2007, 135 (11), pp.3525--3535. ⟨10.1090/S0002-9939-07-08877-6⟩. ⟨hal-01283199⟩
  • Guy Bouchitté, Didier Felbacq. Homogenization of a wire photonic crystal: The case of small volume fraction. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2006, 66, pp.2061-2084. ⟨10.1137/050633147⟩. ⟨hal-00437973⟩
  • Frederic Zolla, Didier Felbacq, Guy Bouchitté. Bloch vector dependence of the plasma frequency in metallic photonic crystals. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2006, 74, pp.056612. ⟨10.1103/PhysRevE.74.056612⟩. ⟨hal-00437974⟩
  • Didier Felbacq, Guy Bouchitté. Negative refraction in periodic and random photonic crystals. New Journal of Physics, Institute of Physics: Open Access Journals, 2005, 7, pp.159. ⟨10.1088/1367-2630/7/1/159⟩. ⟨hal-00437979⟩
  • Guy Bouchitté, T. Champion, C. Jiménez. Completion of the space of measures in the Kantorovich norm. Riv. Mat. Univ. Parma (7), 2005, 4*, pp.127--139. ⟨hal-01283427⟩
  • Didier Felbacq, Frédéric Zolla, Guy Bouchitté. Do Fresnel coefficients exist ?. Wave Motion, Elsevier, 2005, 42, pp.75-95. ⟨10.1016/j.wavemoti.2004.10.001⟩. ⟨hal-00385815⟩
  • Didier Felbacq, Guy Bouchitté. Theory of mesoscopic magnetism in photonic crystals. Physical Review Letters, American Physical Society, 2005, 94, pp.183902. ⟨10.1103/PhysRevLett.94.183902⟩. ⟨hal-00437978⟩
  • Andriy Bondarenko, Guy Bouchitté, Lu\'ısa Mascarenhas, Rajesh Mahadevan. Rate of convergence for correctors in almost periodic homogenization. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2005, 13 (2), pp.503--514. ⟨10.3934/dcds.2005.13.503⟩. ⟨hal-01283203⟩
  • Didier Felbacq, Guy Bouchitté. Left-handed media and homogenization of photonic crystals. Optics Letters, Optical Society of America, 2005, 30, pp.1189-1191. ⟨10.1364/OL.30.001189⟩. ⟨hal-00437977⟩
  • Guy Bouchitté, Didier Felbacq. Homogenization near resonances and artificial magnetism from dielectrics. Comptes Rendus Mathématique, Elsevier Masson, 2004, 339 (5), pp.377--382. ⟨10.1016/j.crma.2004.06.018⟩. ⟨hal-01283206⟩
  • M. Rajesh, Guy Bouchitté, Ilaria Fragalà. Homogenization of second order energies on periodic thin structures. Calculus of Variations and Partial Differential Equations, Springer Verlag, 2004, 20 (2), pp.175--211. ⟨10.1007/s00526-003-0232-y⟩. ⟨hal-01283205⟩
  • Guy Bouchitté, Ilaria Fragalà. Second-order energies on thin structures: variational theory and non-local effects. Journal of Functional Analysis, Elsevier, 2003, 204 (1), pp.228--267. ⟨10.1016/S0022-1236(02)00181-7⟩. ⟨hal-01283211⟩
  • Giovanni Alberti, Guy Bouchitté, Gianni Dal Maso. The calibration method for the Mumford-Shah functional and free-discontinuity problems. Calculus of Variations and Partial Differential Equations, Springer Verlag, 2003, 16 (3), pp.299--333. ⟨10.1007/s005260100152⟩. ⟨hal-01283208⟩
  • Guy Bouchitté, Irene Fonseca, M. Lu\'ısa Mascarenhas. Bending moment in membrane theory. Journal of Elasticity, Springer Verlag, 2003, 73 (1-3), pp.75--99 (2004). ⟨10.1023/B:ELAS.0000029996.20973.92⟩. ⟨hal-01283209⟩
  • Guy Bouchitté, G. Buttazzo, L. de Pascale. A p-Laplacian approximation for some mass optimization problems. Journal of Optimization Theory and Applications, Springer Verlag, 2003, 118 (1), pp.1--25. ⟨10.1023/A:1024751022715⟩. ⟨hal-01283207⟩
  • Guy Bouchitté, Irene Fonseca, Giovanni Leoni, Lu\'ısa Mascarenhas. A global method for relaxation in W^1,p and in \rm SBVₚ. Archive for Rational Mechanics and Analysis, Springer Verlag, 2002, 165 (3), pp.187--242. ⟨10.1007/s00205-002-0220-y⟩. ⟨hal-01283213⟩
  • Guy Bouchitté, Tomáš Roub\'ıček. Optimal design of stratified media. Adv. Math. Sci. Appl., 2002, 12 (1), pp.135--150. ⟨hal-01283390⟩
  • Guy Bouchitté, Ilaria Fragalà. Homogenization of elastic thin structures: a measure-fattening approach. J. Convex Anal., 2002, 9 (2), pp.339--362. ⟨hal-01283276⟩
  • Guy Bouchitté, Chloé Jimenez, Mahadevan Rajesh. Asymptotique d'un problème de positionnement optimal. Comptes Rendus Mathématique, Elsevier Masson, 2002, 335 (10), pp.853--858. ⟨10.1016/S1631-073X(02)02575-X⟩. ⟨hal-01283218⟩
  • Guy Bouchitté, Giuseppe Buttazzo, Ilaria Fragalà. Bounds for the effective coefficients and homogenized low-dimensional structures. Journal de Mathématiques Pures et Appliquées, Elsevier, 2002, 81 (5), pp.453--469. ⟨10.1016/S0021-7824(01)01234-X⟩. ⟨hal-01283214⟩
  • Guy Bouchitté, Giuseppe Buttazzo. Characterization of optimal shapes and masses through Monge-Kantorovich equation. Journal of the European Mathematical Society, European Mathematical Society, 2001, 3 (2), pp.139--168. ⟨10.1007/s100970000027⟩. ⟨hal-01283220⟩
  • Guy Bouchitté, Ilaria Fragalà. Homogenization of thin structures by two-scale method with respect to measures. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2001, 32 (6), pp.1198--1226. ⟨10.1137/S0036141000370260⟩. ⟨hal-01283219⟩
  • Guy Bouchitté, Giuseppe Buttazzo, Ilaria Fragalà. Convergence of Sobolev spaces on varying manifolds. J. Geom. Anal., 2001, 11 (3), pp.399--422. ⟨10.1007/BF02922012⟩. ⟨hal-01283221⟩
  • Guy Bouchitté, Michel Bellieud. Regularization of a set function―-application to integral representation. Ricerche di matematica, Springer Verlag, 2000, 49 (suppl.), pp.79--93. ⟨hal-01283434⟩
  • Guy Bouchitté, C. Dubs, P. Seppecher. Regular approximation of free-discontinuity problems. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2000, 10 (7), pp.1073--1097. ⟨10.1142/S0218202500000549⟩. ⟨hal-01283223⟩
  • Giovanni Bellettini, Guy Bouchitté, Ilaria Fragalà. BV functions with respect to a measure and relaxation of metric integral functionals. J. Convex Anal., 1999, 6 (2), pp.349--366. ⟨hal-01283357⟩
  • Giovanni Alberti, Guy Bouchitté, Gianni Dal Maso. The calibration method for the Mumford-Shah functional. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1999, 329 (3), pp.249--254. ⟨10.1016/S0764-4442(00)88602-4⟩. ⟨hal-01283225⟩
  • Giovanni Alberti, Guy Bouchitté, Pierre Seppecher. Phase transition with the line-tension effect. Archive for Rational Mechanics and Analysis, Springer Verlag, 1998, 144 (1), pp.1--46. ⟨10.1007/s002050050111⟩. ⟨hal-01283230⟩
  • Guy Bouchitté, Irene Fonseca, Luisa Mascarenhas. A global method for relaxation. Archive for Rational Mechanics and Analysis, Springer Verlag, 1998, 145 (1), pp.51--98. ⟨10.1007/s002050050124⟩. ⟨hal-01283229⟩
  • Michel Bellieud, Guy Bouchitté. Homogenization of elliptic problems in a fiber reinforced structure. Nonlocal effects. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 1998, 26 (3), pp.407--436. ⟨hal-01283228⟩
  • Michel Bellieud, Guy Bouchitté. Homogénéisation de problèmes elliptiques dégénérés. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1998, 327 (8), pp.787--792. ⟨10.1016/S0764-4442(98)80171-7⟩. ⟨hal-01283231⟩
  • Guy Bouchitté, Irene Fonseca, Jan Malý. The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University Press (CUP), 1998, 128 (3), pp.463--479. ⟨10.1017/S0308210500021600⟩. ⟨hal-01283227⟩
  • Jean-Jacques Alibert, Guy Bouchitté. Non-Uniform Integrability and Generalized Young Measures. Journal of Convex Analysis, Heldermann, 1997, 4 (1), pp.129-147. ⟨hal-00993891⟩
  • Guy Bouchitté, Giuseppe Buttazzo, Ilaria Fragalà. Mean curvature of a measure and related variational problems. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 1997, 25 (1-2), pp.179--196 (1998). ⟨hal-01283359⟩
  • Guy Bouchitté, Giuseppe Buttazzo, Pierre Seppecher. Shape optimization solutions via Monge-Kantorovich equation. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1997, 324 (10), pp.1185--1191. ⟨10.1016/S0764-4442(97)87909-8⟩. ⟨hal-01283235⟩
  • D. Felbacq, Guy Bouchitté. Homogenization of a set of parallel fibres. Waves in Random Media, Informa UK (Taylor & Francis);Institute of Physics (IOP), 1997, 7 (2), pp.245--256. ⟨10.1088/0959-7174/7/2/006⟩. ⟨hal-01283233⟩
  • Guy Bouchitté, Giuseppe Buttazzo, Pierre Seppecher. Energies with respect to a measure and applications to low-dimensional structures. Calculus of Variations and Partial Differential Equations, Springer Verlag, 1997, 5 (1), pp.37--54. ⟨10.1007/s005260050058⟩. ⟨hal-01283232⟩
  • Ana Cristina Barroso, Guy Bouchitté, Giuseppe Buttazzo, Irene Fonseca. Relaxation of bulk and interfacial energies. Archive for Rational Mechanics and Analysis, Springer Verlag, 1996, 135 (2), pp.107--173. ⟨10.1007/BF02198453⟩. ⟨hal-01283236⟩
  • Guy Bouchitté, C. Picard. Singular perturbations and homogenization in stratified media. Applicable Analysis, Taylor & Francis, 1996, 61 (3-4), pp.307--341. ⟨10.1080/00036819608840462⟩. ⟨hal-01283239⟩
  • Guy Bouchitté, Christophe Dubs, Pierre Seppecher. Transitions de phases avec un potentiel dégénéré à l'infini, application à l'équilibre de petites gouttes. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1996, 323 (9), pp.1103--1108. ⟨hal-01283478⟩
  • Michel Bellieud, Guy Bouchitté. Homogénéisation de problèmes elliptiques en présence de fibres de grande conductivité. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1996, 323 (10), pp.1135--1140. ⟨hal-01283438⟩
  • Guy Bouchitté, Andrea Braides, Giuseppe Buttazzo. Relaxation results for some free discontinuity problems. Journal für die reine und angewandte Mathematik, Walter de Gruyter, 1995, 458, pp.1--18. ⟨10.1515/crll.1995.458.1⟩. ⟨hal-01283240⟩
  • Giovanni Alberti, Guy Bouchitté, Pierre Seppecher. Un résultat de perturbations singulieres avec la norm H. CR Acad. Sci. Paris, Ser. I, 1994, 319, pp.333--338. ⟨hal-01292609⟩
  • Giovanni Alberti, Guy Bouchitté, Pierre Seppecher. Un résultat de perturbations singulières avec la norme H^1/2. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1994, 319 (4), pp.333--338. ⟨hal-01283480⟩
  • Guy Bouchitté, Giuseppe Buttazzo. Relaxation for a class of nonconvex functionals defined on measures. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 1993, 10 (3), pp.345--361. ⟨hal-01283245⟩
  • Guy Bouchitté, Gianni Dal Maso. Integral representation and relaxation of convex local functionals on \rm BV(Ω). Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 1993, 20 (4), pp.483--533. ⟨hal-01283367⟩
  • Guy Bouchitté, G. Buttazzo. Integral representation of nonconvex functionals defined on measures. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 1992, 9 (1), pp.101--117. ⟨hal-01283524⟩
  • Guy Bouchitté, Abdel Lidouh, Pierre Suquet. Homogénéisation de frontière pour la modélisation du contact entre un corps déformable non linéaire et un corps rigide. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1991, 313 (13), pp.967--972. ⟨hal-01283486⟩
  • Guy Bouchitté, Giuseppe Buttazzo. New lower semicontinuity results for nonconvex functionals defined on measures. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 1990, 15 (7), pp.679--692. ⟨10.1016/0362-546X(90)90007-4⟩. ⟨hal-01283251⟩
  • Guy Bouchitté. Singular perturbations of variational problems arising from a two-phase transition model. Applied Mathematics and Optimization, Springer Verlag (Germany), 1990, 21 (3), pp.289--314. ⟨10.1007/BF01445167⟩. ⟨hal-01283250⟩
  • Guy Bouchitté. Analyse limite de la diffraction d'ondes électromagnétiques par une structure mince. C. R. Acad. Sci. Paris Sér. II Méc. Phys. Chim. Sci. Univers Sci. Terre, 1990, 311 (1), pp.51--56. ⟨hal-01283331⟩
  • Guy Bouchitté, M. Valadier. Multifonctions s.c.i. et régularisée s.c.i. essentielle. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 1989, 6 (suppl.), pp.123--149. ⟨hal-01283528⟩
  • Guy Bouchitté. Conjuguée et sous-différentiel d'une fonctionnelle intégrale sur un espace de Sobolev. C. R. Acad. Sci. Paris Sér. I Math., 1988, 307 (2), pp.79--82. ⟨hal-01283258⟩
  • Hedy Attouch, Guy Bouchitté, Mongi Mabrouk. Formulations variationnelles pour des équations elliptiques semi-linéaires avec second membre mesure. C. R. Acad. Sci. Paris Sér. I Math., 1988, 306 (4), pp.161--164. ⟨hal-01283413⟩
  • Guy Bouchitté, Michel Valadier. Integral representation of convex functionals on a space of measures. Journal of Functional Analysis, Elsevier, 1988, 80 (2), pp.398--420. ⟨10.1016/0022-1236(88)90009-2⟩. ⟨hal-01283257⟩
  • Guy Bouchitté. Convergence et relaxation de fonctionnelles du calcul des variations à croissance linéaire. Application à l'homogénéisation en plasticité. Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 1987, 8 (1), pp.7--36. ⟨hal-01283532⟩
  • Guy Bouchitté. Représentation intégrale de fonctionnelles convexes sur un espace de mesures. II. Cas de l'épi-convergence. Ann. Univ. Ferrara Sez. VII (N.S.), 1987, 33, pp.113--156 (1988). ⟨hal-01283534⟩
  • Guy Bouchitté, Pierre Suquet. Charges limites, plasticité et homogénéisation: le cas d'un bord chargé. C. R. Acad. Sci. Paris Sér. I Math., 1987, 305 (10), pp.441--444. ⟨hal-01283493⟩
  • Guy Bouchitté. Homogénéisation sur \rm BV(Ω) de fonctionnelles intégrales à croissance linéaire. Application à un problème d'analyse limite en plasticité. C. R. Acad. Sci. Paris Sér. I Math., 1985, 301 (17), pp.785--788. ⟨hal-01283495⟩
  • Guy Bouchitté. Infconvolution et relaxation-projection dans les espaces de Banach non réflexifs. Approximation de la minimisation d'une fonctionnelle intégrale. C. R. Acad. Sci. Paris Sér. I Math., 1981, 292 (4), pp.255--258. ⟨hal-01283340⟩
  • Guy Bouchitté. Approximation numérique de la minimisation d'une fonctionnelle convexe du calcul des variations dans les espaces de type Sobolev-Orlicz. C. R. Acad. Sci. Paris Sér. I Math., 1981, 292 (5), pp.335--338. ⟨hal-01283303⟩
  • Guy Bouchitté. Inf-convolution et relaxation-projection dans les banachs non reflexifs, approximation de la minimisation d'une fonctionnelle intégrale ou du calcul des variations. Travaux Sém. Anal. Convexe, 1981, 11 (2), exp. no. 20, 42. ⟨hal-01283341⟩
  • Guy Bouchitté. Approximations de Galerkin de problèmes convexes du calcul des variations dans les espaces de type Sobolev-Orlicz. Travaux Sém. Anal. Convexe, 1979, 9 (1), Exp. No. 7, 37. ⟨hal-01283304⟩
  • Guy Bouchitté. Résolution numérique d'un problème d'optimisation intégro-différentielle dans le cas de lois de comportement exponentiel et logarithmique. Travaux Sém. Anal. Convexe, 1979, 9 (2), Exp. No. 11, 28. ⟨hal-01283500⟩
  • Guy Bouchitté. Approximation interne de problèmes convexes du calcul des variations dans les espaces de type Sobolev-Orlicz: éléments finis et intégration numérique. Travaux Sém. Anal. Convexe, 1979, 9 (2), Exp. No. 9, 43. ⟨hal-01283501⟩
  • Guy Bouchitté. Maximale monotonie et pseudomonotonie renforcées de l'opérateur de Nemicki\uı associé au sous-différentiel d'un intégrande convexe normal. Travaux Sém. Anal. Convexe, 1978, 8 (2), exp. no. 8, 27. ⟨hal-01283307⟩

Conference papers32 documents

  • Didier Felbacq, Guy Bouchitté, Christophe Bourel, Emmanuel Kling. Homogenization of a highly contrasted bidimensional array of holes . SPIE Optics + Photonics event news, Aug 2016, San Diego, United States. ⟨10.1117/12.2237337⟩. ⟨hal-01379497⟩
  • Guy Bouchitté. Optimal design for Schrödinger operator with non compact resolvents. Waveguides: asymptotic methods and numerical analysis, Naples, May 21-23, 2015., May 2015, Naples, Italy. ⟨hal-01290884⟩
  • Guy Bouchitté. A new class of costs in optimal transport planning , . Calculus of Variations and its aplications, Dec 2015, Lisbonne, Portugal. ⟨hal-01290880⟩
  • Guy Bouchitté. Diffraction by random nanorods structures,. AMS-2015, Homogenization and Its Contemporary Stochastic Aspects, Porto, 10-13/6/2015, Jun 2015, Porto, Portugal. ⟨hal-01290882⟩
  • Guy Bouchitté. A duality scheme for a class of non convex problems in calculus of variations. Partial differential equations, optimal design and numerics, Benasque 2015, Aug 2015, Bénasque, Spain. ⟨hal-01292726⟩
  • Guy Bouchitté. A duality principle for non convex variational problems. Calculus of variations and optimization , May 2014, PISE, Italy. ⟨hal-01292745⟩
  • Guy Bouchitté. Do optimal thin rods contain homogenized regions?. Journée scientifique à l'occasion du 60ième anniversaire de Pierre Suquet, LMA, Oct 2014, Marseille, France. ⟨hal-01292731⟩
  • Guy Bouchitté. Optimal design on thin domains and existence of optimal shapes. Trends in Non-Linear Analysis 2014, Instituto Superior Técnico — Lisboa, Portugal, Jul 2014, Lsbonne, France. ⟨hal-01292738⟩
  • Guy Bouchitté. Mathematical issues about Bloch waves in metamaterials. Metamaterials and nanophysics, Cuba, 22 April-1 May 2014, Apr 2014, Varadero, Cuba. ⟨hal-01292751⟩
  • Guy Bouchitté. Diffraction by random dielectric nanorods, Third workshop on thin structures Diffraction by random dielectric nanorods . Third workshop on thin structures, Sep 2013, Naples, Italy. ⟨hal-01294152⟩
  • Guy Bouchitté. Thin waveguides with Robin conditions :Influence of twist and curvature,. Dissipative Spectral Theory : Operator Theory, PDEs and Numerics), Jan 2013, Cardiff, United Kingdom. ⟨hal-01294156⟩
  • Guy Bouchitté. Do optimal thin rods contain homogenized regions ?. Material Theories, Workshop Oberwolfach, 15 December - 21 December 2013, A. DeSimone, S.Luckhaus, L. Truskinovsky, Dec 2013, Oberwolfach, Germany. ⟨hal-01294151⟩
  • Guy Bouchitté. Bloch Waves expansion for high contrast homogenization. SIAM Conference on mathematical aspects of Material Sciernces, Jun 2013, Philadelphie, United States. ⟨hal-01294153⟩
  • Guy Bouchitté. Multi-scale approach and resonances in metamaterials. Mathematical aspects of the physics with non-self-adjoint operators, ICMS, Mar 2013, Edinburgh, United Kingdom. ⟨hal-01294155⟩
  • Guy Bouchitté. Propagation in thin waveguides: the influence of twist and curvature Variational models and methods for evolution . Variational Models and Methods for Evolution, Sep 2012, Levico, Italy. ⟨hal-01309117⟩
  • Guy Bouchitté. A free boundary problem arising in optimal design of thin torsion rods . Shape optimization problems and spectral theory , CIRM-Luminy, May 2012, Marseille, France. ⟨hal-01309264⟩
  • Guy Bouchitté. Random Dielectric Fibers and Resonances . PIERS 2012 , Mar 2012, Kuala Lumpur, Malaysia. ⟨hal-01309265⟩
  • Guy Bouchitté. Plasmonic waves and transmission in sub-wavelength regime. Advances in Mechanics (APM12) "Exotic Structures" Saint Petersburg , Jul 2012, Saint Petesrburg, France. ⟨hal-01309256⟩
  • Guy Bouchitté. A free boundary problem arising in optimal design of thin torsion rods . VMS - SMF JOINT CONGRESS, Aug 2012, HUE, Vietnam. ⟨hal-01309119⟩
  • Guy Bouchitté. Curved waveguides with Robin boundary conditions. A 3d-1d asymptotic analysis. . Journées guides d'ondes Frumam- Marseille, CPT -FRUMAM, Jan 2012, Marseille, France. ⟨hal-01309270⟩
  • Guy Bouchitté. Diffraction by random dielectric structures. . Partial differential equations, optimal design and numerics, Centro de Ciencias de Benasque Pedro Pascual, Bénasque, Espagne Aug 2011, Benasque, Spain. ⟨hal-01309297⟩
  • Guy Bouchitté. A nonstandard free boundary problem arising in shape optimization . Septièmes Journées Franco-Chiliennes d'Optimisation , Universté de Perpignan, Dec 2011, Perpignan, France. ⟨hal-01309284⟩
  • Guy Bouchitté. A multi-scale approach for metamaterials . Homogenization and Multi Scale Analysis, Institute of Natural Sciences, SJTU Shanghai 200240, P.R. China, Oct 2011, Shanghai, China. ⟨hal-01309292⟩
  • Guy Bouchitté, Didier Felbacq, Christophe Bourel. Bulk Micro-resonances and Artificial Magnetism. A full 3d-framework . PIERS 2011 , Mar 2011, Marrakesh,, Morocco. ⟨hal-01309304⟩
  • Guy Bouchitté, D. Felbacq, Christophe Bourel. Homogénéisation du système de Maxwell 3D près des résonances et magnétisme artificiel . Colloque National Métamatériaux 2011, Institut d'Électronique Fondamentale Triangle de la Physique, Orsay Apr 2011, Orsay, France. ⟨hal-01309309⟩
  • Bernard Gil, Didier Felbacq, Brahim Guizal, Guy Bouchitté. Exciton binding energies and energy splittings in aluminium nitride bulk and epilayers. SPIE PHOTONICS West Gallium Nitride Materials and Devices VI SPIE 7939, Jan 2011, San francisco, France. ⟨hal-00633667⟩
  • Bernard Gil, D. Felbacq, B. Guizal, Guy Bouchitté. Excitonic Splittings in aluminum nitride. Proceedings of the second Meijo international symposium on nitride semiconductors 2010 (MSN2010), Nov 2010, Nagoya, Japan. ⟨hal-00633651⟩
  • Didier Felbacq, Brahim Guizal, Guy Bouchitté. Onset of a band structure as a result of Mie resonances. Nanophotonics 2008, May 2008, Nanjing, China. ⟨hal-00807764⟩
  • Didier Felbacq, Guy Bouchitté. Effective magnetic activity in an array of dielectric rods. COST kick-off workshop on Nanophotonics, Apr 2008, Varsovie, Poland. ⟨hal-00807722⟩
  • Didier Felbacq, Brahim Guizal, Guy Bouchitté, Christophe Bourel. RESONANT HOMOGENIZATION OF A DIELECTRIC METAMATERIAL. 4th Workshop on Metamaterials and Special Materials for Electromagnetic Application and TLC, Dec 2008, Naples, Italy. pp.2695-2701. ⟨hal-00437968⟩
  • Didier Felbacq, Brahim Guizal, Guy Bouchitté. Effective properties of membrane photonic crystals - art. no. 70410R. Conference on Nanostructured Thin Films, Aug 2008, San Diego (CA), United States. pp.R410-R410. ⟨hal-00437972⟩
  • Didier Felbacq, Guy Bouchitté. Theory of negative index in periodic and random photonic crystals - art. no. 61950I. Conference on Nanophotonics, Apr 2006, Strasbourg (FRANCE), France. pp.I1950-I1950. ⟨hal-00437976⟩

Books1 document

Book sections9 documents

  • Guy Bouchitté. Optimization of light structures: the vanishing mass conjecture. Homogenization, 2001 (Naples), 18, Gakkōtosho, Tokyo, pp.131--145, 2003, GAKUTO Internat. Ser. Math. Sci. Appl. ⟨hal-01283428⟩
  • Guy Bouchitté, Ilaria Fragalà. Variational theory of weak geometric structures: the measure method and its applications. Variational methods for discontinuous structures, 51, Birkhäuser, Basel, pp.19--40, 2002, Progr. Nonlinear Differential Equations Appl. ⟨hal-01283431⟩
  • Guy Bouchitté, Didier Felbacq. Low frequency scattering by a set of parallel metallic rods. Mathematical and numerical aspects of wave propagation (Santiago de Compostela, 2000), SIAM, Philadelphia, PA, pp.226--230, 2000. ⟨hal-01283355⟩
  • Giovanni Alberti, Guy Bouchitté, P. Seppecher. Boundary effects in phase transitions. Curvature flows and related topics (Levico, 1994), 5, Gakkōtosho, Tokyo, pp.1--11, 1995, GAKUTO Internat. Ser. Math. Sci. Appl. ⟨hal-01283241⟩
  • Guy Bouchitté, P. Suquet. Equi-coercivity of variational problems: the role of recession functions. Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XII (Paris, 1991―1993), 302, Longman Sci. Tech., Harlow, pp.31--54, 1994, Pitman Res. Notes Math. Ser. ⟨hal-01283521⟩
  • Guy Bouchitté, P. Seppecher. Cahn and Hilliard fluid on an oscillating boundary. Motion by mean curvature and related topics (Trento, 1992), de Gruyter, Berlin, pp.23--42, 1994. ⟨hal-01283442⟩
  • Guy Bouchitté, P. Suquet. Homogenization, plasticity and yield design. Composite media and homogenization theory (Trieste, 1990), 5, Birkhäuser Boston, Boston, MA, pp.107--133, 1991, Progr. Nonlinear Differential Equations Appl., ⟨10.1007/978-1-4684-6787-1_7⟩. ⟨hal-01283248⟩
  • Guy Bouchitté, M. Valadier. Multifonctions s.c.i. et régularisée s.c.i. essentielle. Analyse non linéaire (Perpignan, 1987), Univ. Montréal, Montreal, QC, pp.122--149, 1989. ⟨hal-01283529⟩
  • H. Attouch, Guy Bouchitté, H. Mabrouk. Variational formulations of semi-linear elliptic equations involving measures. Nonlinear variational problems, Vol. II (Isola d'Elba, 1986), 193, Longman Sci. Tech., Harlow, pp.10--63, 1989, Pitman Res. Notes Math. Ser. ⟨hal-01283527⟩

Preprints, Working Papers, ...4 documents

  • Guy Bouchitté, Thierry Champion, Giuseppe Buttazzo, Luigi de Pascale. Dissociating limit in Density Functional Theory with Coulomb optimal transport cost.. 2018. ⟨hal-01941414⟩
  • Jean-Jacques Alibert, Guy Bouchitté, Thierry Champion. A new class of cost for optimal transport planning. 2018. ⟨hal-01741688⟩
  • Guy Bouchitté, Ilaria Fragalà, Pierre Seppecher. Structural optimization of thin elastic plates: the three dimensional approach. 2010. ⟨hal-00528976⟩
  • Graeme W. Milton, Pierre Seppecher, Guy Bouchitté. Minimization variational principles for acoustics, elastodynamics, and electromagnetism in lossy inhomogeneous bodies at fixed frequency. 2010. ⟨hal-00523225⟩