Edit Profile (opens in new tab) Briane, Marc Co-Author Distance Author ID: briane.marc Published as: Briane, Marc; Briane, M. Homepage: http://briane.perso.math.cnrs.fr/ External Links: MGP Documents Indexed: 84 Publications since 1993, including 2 Books and 1 Additional arXiv Preprint Co-Authors: 26 Co-Authors with 59 Joint Publications 707 Co-Co-Authors all top 5 Co-Authors 25 single-authored 16 Casado-Díaz, Juan 11 Milton, Graeme Walter 5 Hervé, Loïc 3 Allaire, Grégoire 3 Capdeboscq, Yves 3 Murat, François 3 Nesi, Vincenzo 2 Braides, Andrea 2 Camar-Eddine, Mohamed 2 Francfort, Gilles A. 2 Gerard, Patrick 2 Harutyunyan, Davit 2 Manceau, David 2 Mokobodzki, Gabriel 2 Pagès, Gilles 2 Pallares-Martín, Antonio Jesús 2 Pater, Laurent 2 Tchou, Nicoletta Anna 2 Vanninathan, Muthusamy 1 Brizzi, Robert 1 Damlamian, Alain 1 Donato, Patrizia 1 Luna-Laynez, Manuel 1 Mazliak, Laurent 1 Nguyen, Luc 1 Treibergs, Andrejs E. all top 5 Serials 6 Archive for Rational Mechanics and Analysis 4 Journal of Differential Equations 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Calculus of Variations and Partial Differential Equations 3 Journal of Mathematical Analysis and Applications 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Applicable Analysis 2 Journal of Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Asymptotic Analysis 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Potential Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 SIAM Journal on Applied Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Mathematics and Mechanics of Complex Systems 2 Journal de l’École Polytechnique – Mathématiques 1 Communications in Mathematical Physics 1 Inverse Problems 1 Nonlinearity 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Journal of Functional Analysis 1 Portugaliae Mathematica 1 Ricerche di Matematica 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Journal of Dynamics and Differential Equations 1 Advances in Mathematical Sciences and Applications 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Multiscale Modeling & Simulation 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Networks and Heterogeneous Media 1 S\(\vec{\text{e}}\)MA Journal all top 5 Fields 71 Partial differential equations (35-XX) 34 Mechanics of deformable solids (74-XX) 12 Optics, electromagnetic theory (78-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Fluid mechanics (76-XX) 3 Operator theory (47-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 561 times in 378 Documents Cited by ▼ Year ▼ Multiscale convergence and reiterated homogenisation. Zbl 0866.35017 Allaire, G.; Briane, M. 128 1996 A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures. Zbl 1364.35029 Allaire, Gregoire; Briane, M.; Vanninathan, M. 34 2016 Fibered microstructures for some nonlocal Dirichlet forms. Zbl 1170.35321 Tchou, N.; Briane, Marc 25 2001 The div-curl lemma “trente ans après”: an extension and an application to the \(G\)-convergence of unbounded monotone operators. Zbl 1183.35012 Briane, M.; Casado-Díaz, J.; Murat, F. 20 2009 On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials. Zbl 1368.74053 Milton, Graeme; Briane, Marc; Harutyunyan, Davit 19 2017 Two-dimensional div-curl results: application to the lack of nonlocal effects in homogenization. Zbl 1127.35070 Briane, Marc; Casado-Díaz, Juan 18 2007 Nonlocal effects in two-dimensional conductivity. Zbl 1142.35381 Briane, Marc 18 2006 \(H\)-convergence for perforated domains. Zbl 0943.35005 Briane, M.; Damlamian, A.; Donato, P. 17 1998 Change of sign of the corrector’s determinant for homogenization in three-dimensional conductivity. Zbl 1118.78009 Briane, Marc; Milton, Graeme W.; Nesi, Vincenzo 17 2004 Three models of non periodic fibrous materials obtained by homogenization. Zbl 0795.92006 Briane, M. 15 1993 Homogenization of high-conductivity periodic problems: application to a general distribution of one-directional fibers. Zbl 1055.35017 Briane, Marc 14 2003 Homogenization of non-uniformly bounded operators: critical barrier for nonlocal effects. Zbl 1087.35508 Briane, Marc 14 2002 Asymptotic behaviour of equicoercive diffusion energies in dimension two. Zbl 1186.35012 Briane, Marc; Casado-Díaz, Juan 13 2007 Homogenization of a non-periodic material. Zbl 0835.35016 Briane, Marc 13 1994 Uniform convergence of sequences of solutions of two-dimensional linear elliptic equations with unbounded coefficients. Zbl 1155.35047 Briane, Marc; Casado-Díaz, Juan 12 2008 Homogenization of two-dimensional elasticity problems with very stiff coefficients. Zbl 1134.35010 Briane, Marc; Camar-Eddine, Mohamed 11 2007 Loss of ellipticity through homogenization in linear elasticity. Zbl 1316.35016 Briane, Marc; Francfort, Gilles A. 11 2015 Interior regularity estimates in high conductivity homogenization and application. Zbl 1269.78021 Briane, Marc; Capdeboscq, Yves; Nguyen, Luc 11 2013 Correctors for the homogenization of a laminate. Zbl 0829.35009 Briane, Marc 8 1994 Homogenization of non-uniformly bounded periodic diffusion energies in dimension two. Zbl 1221.35048 Braides, Andrea; Briane, Marc; Casado-Díaz, Juan 7 2009 Homogenization of the Stokes equations with high-contrast viscosity. Zbl 1058.35024 Briane, Marc 7 2003 Which electric fields are realizable in conducting materials? Zbl 1315.35021 Briane, Marc; Milton, Graeme W.; Treibergs, Andrejs 7 2014 A class of second-order linear elliptic equations with drift: renormalized solutions, uniqueness and homogenization. Zbl 1347.35025 Briane, Marc; Casado-Díaz, Juan 6 2015 A drift homogenization problem revisited. Zbl 1270.35058 Briane, Marc; Gérard, Patrick 5 2012 Homogenization of the torsion problem and the Neumann problem in nonregular periodically perforated domains. Zbl 0896.35015 Briane, Marc 5 1997 Homogenization in some weakly connected domains. Zbl 0928.35037 Briane, Marc 5 1998 Homogenization of the three-dimensional Hall effect and change of sign of the Hall coefficient. Zbl 1170.74019 Briane, Marc; Milton, Graeme W. 5 2009 Homogenization of the two-dimensional Hall effect. Zbl 1206.78090 Briane, M.; Manceau, D.; Milton, G. W. 5 2008 A new div-curl result. applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian. Zbl 1336.35045 Briane, M.; Casado Díaz, J. 5 2016 Towards a complete characterization of the effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase. Zbl 1368.74054 Milton, Graeme; Harutyunyan, Davit; Briane, Marc 5 2017 Two asymptotic models for arrays of underground waste containers. Zbl 1180.35061 Allaire, Grégoire; Briane, Marc; Brizzi, Robert; Capdeboscq, Yves 4 2009 Isotropic realizability of fields and reconstruction of invariant measures under positivity properties. Asymptotics of the flow by a non-ergodic approach. Zbl 1434.78005 Briane, Marc 4 2019 A two-dimensional labile aether through homogenization. Zbl 1436.74061 Briane, Marc; Francfort, Gilles A. 4 2019 Homogenization of convex functionals which are weakly coercive and not equi-bounded from above. Zbl 1288.35039 Briane, Marc; Casado-Díaz, Juan 4 2013 Semi-strong convergence of sequences satisfying a variational inequality. Zbl 1248.35088 Briane, Marc; Mokobodzki, Gabriel; Murat, François 3 2008 Giant Hall effect in composites. Zbl 1181.35016 Briane, Marc; Milton, Graeme W. 3 2009 Lack of compactness in two-scale convergence. Zbl 1112.35016 Briane, Marc; Casado-Díaz, Juan 3 2005 Homogenization of systems with equi-integrable coefficients. Zbl 1326.35020 Briane, Marc; Casado-Díaz, Juan 3 2014 Homogenization of weakly coercive integral functionals in three-dimensional linear elasticity. Zbl 1432.35015 Briane, Marc; Pallares-Martín, Antonio Jesús 3 2017 Isotropic realizability of a strain field for the two – dimensional incompressible elasticity system. Zbl 1382.35294 Briane, M. 3 2016 Homogenization with an oscillating drift: from \(L^2\)-bounded to unbounded drifts, 2D compactness results, and 3D nonlocal effects. Zbl 1282.35034 Briane, Marc 3 2013 Homogenization of linear transport equations. A new approach. (Homogénéisation d’équations de transport linéaires. Une nouvelle approche.) Zbl 1437.35033 Briane, Marc 3 2020 Homogenization of non-linear variational problems with thin low-conducting layers. Zbl 1112.35015 Braides, Andrea; Briane, Marc 2 2007 Homogenization of two randomly weakly connected materials. Zbl 0927.35011 Briane, M.; Mazliak, L. 2 1998 Estimate of the pressure when its gradient is the divergence of a measure. Applications. Zbl 1232.35113 Briane, Marc; Casado-Díaz, Juan 2 2011 Variations on a strange semi-continuity result. Zbl 1081.47049 Briane, Marc; Mokobodzki, Gabriel; Murat, François 2 2005 Compactness of sequences of two-dimensional energies with a zero-order term. Application to three-dimensional nonlocal effects. Zbl 1167.35336 Briane, Marc; Casado-Díaz, Juan 2 2008 Is it wise to keep laminating? Zbl 1072.74057 Briane, Marc; Nesi, Vincenzo 2 2004 Poincaré-Wirtinger’s inequality for the homogenization in perforated domains. Zbl 0901.35004 Briane, Marc 2 1997 Homogenization in general periodically perforated domains by a spectral approach. Zbl 1028.35018 Briane, Marc 2 2002 Isotropic realizability of electric fields around critical points. Zbl 1286.35071 Briane, Marc 2 2014 Homogenization of stiff plates and two-dimensional high-viscosity Stokes equations. Zbl 1280.74031 Briane, Marc; Casado-Díaz, Juan 2 2012 Increase of mass and nonlocal effects in the homogenization of magneto-elastodynamics problems. Zbl 1471.74063 Briane, Marc; Casado-Díaz, Juan 2 2021 A picture of the ODE’s flow in the torus: from everywhere or almost-everywhere asymptotics to homogenization of transport equations. Zbl 1482.37041 Briane, Marc; Hervé, Loïc 2 2021 Reconstruction of isotropic conductivities from non smooth electric fields. Zbl 1402.35311 Briane, Marc 2 2018 Non-Markovian quadratic forms obtained by homogenization. Zbl 1150.35009 Briane, Marc 1 2003 Expansion formulae for the homogenized determinant of anisotropic checkerboards. Zbl 1149.15300 Briane, Marc; Capdeboscq, Yves 1 2006 An antisymmetric effective Hall matrix. Zbl 1213.35058 Briane, Marc; Milton, Graeme W. 1 2010 New bounds on strong field magneto-transport in multiphase columnar composites. Zbl 1230.35013 Briane, Marc; Milton, Graeme W. 1 2010 The convergence of the spectrum of a weakly connected domain. Zbl 0965.35106 Briane, Marc 1 1999 Optimal conditions of convergence and effects of anisotropy in the homogenization of non-uniformly elliptic problems. Zbl 1067.35010 Briane, Marc 1 2001 A spectral approach for the homogenization in general periodically perforated domains. Zbl 1043.35026 Briane, Marc 1 2003 Duality results in the homogenization of two-dimensional high-contrast conductivities. Zbl 1167.35339 Briane, Marc; Manceau, David 1 2008 Distributional convergence of null Lagrangians under very mild conditions. Zbl 1149.35036 Briane, Marc; Nesi, Vincenzo 1 2007 Homogenization of high-contrast two-phase conductivities perturbed by a magnetic field. Comparison between dimension two and dimension three. Zbl 1276.35021 Briane, Marc; Pater, Laurent 1 2012 \(\Gamma\)-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients. Zbl 1356.35028 Briane, M.; Casado-Díaz, J.; Luna-Laynez, M.; Pallares-Martín, A. 1 2017 Isotropic realizability of current fields in \(\mathbb{R}^3\). Zbl 1317.35003 Briane, M.; Milton, G. W. 1 2015 Asymptotics of ODE’s flow on the torus through a singleton condition and a perturbation result. Applications. Zbl 1498.37027 Briane, Marc; Hervé, Loïc 1 2022 An optimal condition of compactness for elasticity problems involving one directional reinforcement. Zbl 1366.74062 Briane, Marc; Camar-Eddine, Mohamed 1 2012 First Bloch eigenvalue in high contrast media. Zbl 1286.81056 Briane, Marc; Vanninathan, Muthusamy 1 2014 Asymptotics of ODE’s flow on the torus through a singleton condition and a perturbation result. Applications. Zbl 1498.37027 Briane, Marc; Hervé, Loïc 1 2022 Increase of mass and nonlocal effects in the homogenization of magneto-elastodynamics problems. Zbl 1471.74063 Briane, Marc; Casado-Díaz, Juan 2 2021 A picture of the ODE’s flow in the torus: from everywhere or almost-everywhere asymptotics to homogenization of transport equations. Zbl 1482.37041 Briane, Marc; Hervé, Loïc 2 2021 Homogenization of linear transport equations. A new approach. (Homogénéisation d’équations de transport linéaires. Une nouvelle approche.) Zbl 1437.35033 Briane, Marc 3 2020 Isotropic realizability of fields and reconstruction of invariant measures under positivity properties. Asymptotics of the flow by a non-ergodic approach. Zbl 1434.78005 Briane, Marc 4 2019 A two-dimensional labile aether through homogenization. Zbl 1436.74061 Briane, Marc; Francfort, Gilles A. 4 2019 Reconstruction of isotropic conductivities from non smooth electric fields. Zbl 1402.35311 Briane, Marc 2 2018 On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials. Zbl 1368.74053 Milton, Graeme; Briane, Marc; Harutyunyan, Davit 19 2017 Towards a complete characterization of the effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase. Zbl 1368.74054 Milton, Graeme; Harutyunyan, Davit; Briane, Marc 5 2017 Homogenization of weakly coercive integral functionals in three-dimensional linear elasticity. Zbl 1432.35015 Briane, Marc; Pallares-Martín, Antonio Jesús 3 2017 \(\Gamma\)-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients. Zbl 1356.35028 Briane, M.; Casado-Díaz, J.; Luna-Laynez, M.; Pallares-Martín, A. 1 2017 A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures. Zbl 1364.35029 Allaire, Gregoire; Briane, M.; Vanninathan, M. 34 2016 A new div-curl result. applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian. Zbl 1336.35045 Briane, M.; Casado Díaz, J. 5 2016 Isotropic realizability of a strain field for the two – dimensional incompressible elasticity system. Zbl 1382.35294 Briane, M. 3 2016 Loss of ellipticity through homogenization in linear elasticity. Zbl 1316.35016 Briane, Marc; Francfort, Gilles A. 11 2015 A class of second-order linear elliptic equations with drift: renormalized solutions, uniqueness and homogenization. Zbl 1347.35025 Briane, Marc; Casado-Díaz, Juan 6 2015 Isotropic realizability of current fields in \(\mathbb{R}^3\). Zbl 1317.35003 Briane, M.; Milton, G. W. 1 2015 Which electric fields are realizable in conducting materials? Zbl 1315.35021 Briane, Marc; Milton, Graeme W.; Treibergs, Andrejs 7 2014 Homogenization of systems with equi-integrable coefficients. Zbl 1326.35020 Briane, Marc; Casado-Díaz, Juan 3 2014 Isotropic realizability of electric fields around critical points. Zbl 1286.35071 Briane, Marc 2 2014 First Bloch eigenvalue in high contrast media. Zbl 1286.81056 Briane, Marc; Vanninathan, Muthusamy 1 2014 Interior regularity estimates in high conductivity homogenization and application. Zbl 1269.78021 Briane, Marc; Capdeboscq, Yves; Nguyen, Luc 11 2013 Homogenization of convex functionals which are weakly coercive and not equi-bounded from above. Zbl 1288.35039 Briane, Marc; Casado-Díaz, Juan 4 2013 Homogenization with an oscillating drift: from \(L^2\)-bounded to unbounded drifts, 2D compactness results, and 3D nonlocal effects. Zbl 1282.35034 Briane, Marc 3 2013 A drift homogenization problem revisited. Zbl 1270.35058 Briane, Marc; Gérard, Patrick 5 2012 Homogenization of stiff plates and two-dimensional high-viscosity Stokes equations. Zbl 1280.74031 Briane, Marc; Casado-Díaz, Juan 2 2012 Homogenization of high-contrast two-phase conductivities perturbed by a magnetic field. Comparison between dimension two and dimension three. Zbl 1276.35021 Briane, Marc; Pater, Laurent 1 2012 An optimal condition of compactness for elasticity problems involving one directional reinforcement. Zbl 1366.74062 Briane, Marc; Camar-Eddine, Mohamed 1 2012 Estimate of the pressure when its gradient is the divergence of a measure. Applications. Zbl 1232.35113 Briane, Marc; Casado-Díaz, Juan 2 2011 An antisymmetric effective Hall matrix. Zbl 1213.35058 Briane, Marc; Milton, Graeme W. 1 2010 New bounds on strong field magneto-transport in multiphase columnar composites. Zbl 1230.35013 Briane, Marc; Milton, Graeme W. 1 2010 The div-curl lemma “trente ans après”: an extension and an application to the \(G\)-convergence of unbounded monotone operators. Zbl 1183.35012 Briane, M.; Casado-Díaz, J.; Murat, F. 20 2009 Homogenization of non-uniformly bounded periodic diffusion energies in dimension two. Zbl 1221.35048 Braides, Andrea; Briane, Marc; Casado-Díaz, Juan 7 2009 Homogenization of the three-dimensional Hall effect and change of sign of the Hall coefficient. Zbl 1170.74019 Briane, Marc; Milton, Graeme W. 5 2009 Two asymptotic models for arrays of underground waste containers. Zbl 1180.35061 Allaire, Grégoire; Briane, Marc; Brizzi, Robert; Capdeboscq, Yves 4 2009 Giant Hall effect in composites. Zbl 1181.35016 Briane, Marc; Milton, Graeme W. 3 2009 Uniform convergence of sequences of solutions of two-dimensional linear elliptic equations with unbounded coefficients. Zbl 1155.35047 Briane, Marc; Casado-Díaz, Juan 12 2008 Homogenization of the two-dimensional Hall effect. Zbl 1206.78090 Briane, M.; Manceau, D.; Milton, G. W. 5 2008 Semi-strong convergence of sequences satisfying a variational inequality. Zbl 1248.35088 Briane, Marc; Mokobodzki, Gabriel; Murat, François 3 2008 Compactness of sequences of two-dimensional energies with a zero-order term. Application to three-dimensional nonlocal effects. Zbl 1167.35336 Briane, Marc; Casado-Díaz, Juan 2 2008 Duality results in the homogenization of two-dimensional high-contrast conductivities. Zbl 1167.35339 Briane, Marc; Manceau, David 1 2008 Two-dimensional div-curl results: application to the lack of nonlocal effects in homogenization. Zbl 1127.35070 Briane, Marc; Casado-Díaz, Juan 18 2007 Asymptotic behaviour of equicoercive diffusion energies in dimension two. Zbl 1186.35012 Briane, Marc; Casado-Díaz, Juan 13 2007 Homogenization of two-dimensional elasticity problems with very stiff coefficients. Zbl 1134.35010 Briane, Marc; Camar-Eddine, Mohamed 11 2007 Homogenization of non-linear variational problems with thin low-conducting layers. Zbl 1112.35015 Braides, Andrea; Briane, Marc 2 2007 Distributional convergence of null Lagrangians under very mild conditions. Zbl 1149.35036 Briane, Marc; Nesi, Vincenzo 1 2007 Nonlocal effects in two-dimensional conductivity. Zbl 1142.35381 Briane, Marc 18 2006 Expansion formulae for the homogenized determinant of anisotropic checkerboards. Zbl 1149.15300 Briane, Marc; Capdeboscq, Yves 1 2006 Lack of compactness in two-scale convergence. Zbl 1112.35016 Briane, Marc; Casado-Díaz, Juan 3 2005 Variations on a strange semi-continuity result. Zbl 1081.47049 Briane, Marc; Mokobodzki, Gabriel; Murat, François 2 2005 Change of sign of the corrector’s determinant for homogenization in three-dimensional conductivity. Zbl 1118.78009 Briane, Marc; Milton, Graeme W.; Nesi, Vincenzo 17 2004 Is it wise to keep laminating? Zbl 1072.74057 Briane, Marc; Nesi, Vincenzo 2 2004 Homogenization of high-conductivity periodic problems: application to a general distribution of one-directional fibers. Zbl 1055.35017 Briane, Marc 14 2003 Homogenization of the Stokes equations with high-contrast viscosity. Zbl 1058.35024 Briane, Marc 7 2003 Non-Markovian quadratic forms obtained by homogenization. Zbl 1150.35009 Briane, Marc 1 2003 A spectral approach for the homogenization in general periodically perforated domains. Zbl 1043.35026 Briane, Marc 1 2003 Homogenization of non-uniformly bounded operators: critical barrier for nonlocal effects. Zbl 1087.35508 Briane, Marc 14 2002 Homogenization in general periodically perforated domains by a spectral approach. Zbl 1028.35018 Briane, Marc 2 2002 Fibered microstructures for some nonlocal Dirichlet forms. Zbl 1170.35321 Tchou, N.; Briane, Marc 25 2001 Optimal conditions of convergence and effects of anisotropy in the homogenization of non-uniformly elliptic problems. Zbl 1067.35010 Briane, Marc 1 2001 The convergence of the spectrum of a weakly connected domain. Zbl 0965.35106 Briane, Marc 1 1999 \(H\)-convergence for perforated domains. Zbl 0943.35005 Briane, M.; Damlamian, A.; Donato, P. 17 1998 Homogenization in some weakly connected domains. Zbl 0928.35037 Briane, Marc 5 1998 Homogenization of two randomly weakly connected materials. Zbl 0927.35011 Briane, M.; Mazliak, L. 2 1998 Homogenization of the torsion problem and the Neumann problem in nonregular periodically perforated domains. Zbl 0896.35015 Briane, Marc 5 1997 Poincaré-Wirtinger’s inequality for the homogenization in perforated domains. Zbl 0901.35004 Briane, Marc 2 1997 Multiscale convergence and reiterated homogenisation. Zbl 0866.35017 Allaire, G.; Briane, M. 128 1996 Homogenization of a non-periodic material. Zbl 0835.35016 Briane, Marc 13 1994 Correctors for the homogenization of a laminate. Zbl 0829.35009 Briane, Marc 8 1994 Three models of non periodic fibrous materials obtained by homogenization. Zbl 0795.92006 Briane, M. 15 1993 all cited Publications top 5 cited Publications all top 5 Cited by 504 Authors 41 Briane, Marc 15 Casado-Díaz, Juan 8 Donato, Patrizia 8 Hoang, Viet Ha 7 Cui, Junzhi 7 Rodríguez-Ramos, Reinaldo 7 Sili, Ali 6 Holmbom, Anders 6 Milton, Graeme Walter 6 Woukeng, Jean Louis 6 Yang, Zhiqiang 5 Abdulle, Assyr 5 Bellieud, Michel 5 Dong, Hao 5 Flodén, Liselott 5 Giorgio, Ivan 5 Kogut, Peter I. 5 Penta, Raimondo 5 Persson, Jens 5 Ramírez-Torres, Ariel 5 Sun, Yi 5 Vanninathan, Muthusamy 4 Alberti, Giovanni S. 4 Allaire, Grégoire 4 Amar, Micol 4 Bravo-Castillero, Julián 4 Capdeboscq, Yves 4 Conca, Carlos 4 Conti, Sergio 4 Gaudiello, Antonio 4 Ghosh, Tuhin 4 Gloria, Antoine 4 Guinovart-Díaz, Raúl 4 Guzina, Bojan B. 4 Harbrecht, Helmut 4 Hervé, Loïc 4 Kesavan, Srinivasan 4 Murat, François 4 Niu, Weisheng 4 Olsson Lindberg, Marianne 4 Pallares-Martín, Antonio Jesús 4 Pastukhova, Svetlana Evgenievna 4 Schwab, Christoph 4 Seppecher, Pierre 4 Serrano, Hélia 4 Visintin, Augusto 3 Abdoul-Anziz, Houssam 3 Ammari, Habib 3 Andreucci, Daniele 3 Barchiesi, Emilio 3 Camar-Eddine, Mohamed 3 Cherednichenko, Kirill D. 3 Cherkaev, Andrej V. 3 Damlamian, Alain 3 dell’Isola, Francesco 3 Fonseca, Irene 3 Griebel, Michael 3 Guan, Xiaofei 3 Lebon, Frédéric 3 Li, Haigang 3 Ma, Qiang 3 Marigo, Jean-Jacques 3 Meng, Shixu 3 Nesi, Vincenzo 3 Pedregal, Pablo 3 Peter, Malte Andreas 3 Pouchon, Timothée 3 Smyshlyaev, Valery P. 3 Svanstedt, Nils E. M. 3 Triki, Faouzi 3 Van Schaftingen, Jean 3 Xia, Bingxing 3 Xu, Yao 3 Yamada, Takayuki 3 Yang, Zihao 3 Yeh, Li-Ming 2 Amirat, Youcef Aït 2 Arrieta, José M. 2 Bader, Fakhrielddine 2 Bal, Guillaume 2 Bălilescu, Loredana 2 Bao, Jiguang 2 Barchiesi, Marco 2 Baroudi, Djebar 2 Bendahmane, Mostafa 2 Blanc, Xavier 2 Bonnetier, Eric 2 Bucur, Dorin 2 Cakoni, Fioralba 2 Cardone, Giuseppe 2 Cherdantsev, Mikhail 2 Cioranescu, Doina 2 Collin, Annabelle 2 Comi, Claudia 2 Cruz-González, Oscar L. 2 Cruz, Manuel E. 2 Dapogny, Charles 2 De Maio, Umberto 2 Dolzmann, Georg 2 Eugster, Simon Raphael ...and 404 more Authors all top 5 Cited in 135 Serials 21 Archive for Rational Mechanics and Analysis 12 Journal of Differential Equations 12 Calculus of Variations and Partial Differential Equations 11 Journal of Mathematical Analysis and Applications 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Mathematics and Mechanics of Solids 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 SIAM Journal on Mathematical Analysis 8 Applicable Analysis 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Asymptotic Analysis 8 Applications of Mathematics 7 Mathematical Methods in the Applied Sciences 7 Journal of Elasticity 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Computer Methods in Applied Mechanics and Engineering 6 Journal of Functional Analysis 6 Multiscale Modeling & Simulation 6 Networks and Heterogeneous Media 5 Journal of Computational Physics 5 Journal of the Mechanics and Physics of Solids 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Communications in Mathematical Physics 4 International Journal of Engineering Science 4 Mathematics of Computation 4 Chinese Annals of Mathematics. Series B 4 Communications in Partial Differential Equations 4 Continuum Mechanics and Thermodynamics 4 European Journal of Mechanics. A. Solids 4 Journal de l’École Polytechnique – Mathématiques 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Computers & Mathematics with Applications 3 Communications on Pure and Applied Mathematics 3 Inverse Problems 3 Journal of Mathematical Physics 3 Journal of Computational and Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Applied Mathematical Modelling 3 SIAM Journal on Applied Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Ricerche di Matematica 2 Acta Applicandae Mathematicae 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Potential Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Vietnam Journal of Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Communications on Pure and Applied Analysis 2 SIAM Journal on Applied Dynamical Systems 2 Complex Variables and Elliptic Equations 2 Proceedings of the Steklov Institute of Mathematics 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Mathematical Control and Related Fields 1 Acta Mechanica 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Nonlinearity 1 Advances in Mathematics 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Commentationes Mathematicae Universitatis Carolinae 1 Functional Analysis and its Applications 1 International Journal for Numerical Methods in Engineering 1 Mathematische Annalen 1 Mathematika 1 Meccanica 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Computational Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Constructive Approximation 1 Computational Mechanics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Journal of the Ramanujan Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Cybernetics and Systems Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Annales Mathématiques Blaise Pascal 1 Advances in Computational Mathematics 1 Opuscula Mathematica 1 Mathematical Problems in Engineering 1 Doklady Mathematics 1 Computing and Visualization in Science 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Analysis (München) ...and 35 more Serials all top 5 Cited in 34 Fields 270 Partial differential equations (35-XX) 151 Mechanics of deformable solids (74-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 36 Numerical analysis (65-XX) 30 Fluid mechanics (76-XX) 27 Optics, electromagnetic theory (78-XX) 19 Functional analysis (46-XX) 19 Biology and other natural sciences (92-XX) 16 Operator theory (47-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Ordinary differential equations (34-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Probability theory and stochastic processes (60-XX) 5 Measure and integration (28-XX) 4 Potential theory (31-XX) 4 Approximations and expansions (41-XX) 4 Systems theory; control (93-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year