Edit Profile (opens in new tab) Conti, Sergio Compute Distance To: Compute Author ID: conti.sergio Published as: Conti, Sergio; Conti, S. Homepage: https://www.iam.uni-bonn.de/aaa2/people/sergio-conti/ External Links: MGP · ResearchGate · dblp Documents Indexed: 112 Publications since 2000, including 1 Book 3 Contributions as Editor Co-Authors: 77 Co-Authors with 110 Joint Publications 1,582 Co-Co-Authors all top 5 Co-Authors 5 single-authored 22 Dolzmann, Georg 17 Müller, Stefan 17 Ortiz, Michael 10 Iurlano, Flaviana 10 Rumpf, Martin 9 DeSimone, Antonio 8 Focardi, Matteo 8 Garroni, Adriana 6 Otto, Felix 6 Zwicknagl, Barbara Maria 5 Kreisbeck, Carolin 5 Schultz, Rüdiger 4 De Lellis, Camillo 4 Lenz, Martin 4 Maggi, Francesco 4 Reina, Celia 4 Schweizer, Ben 3 Chambolle, Antonin 3 Diermeier, Johannes 3 Geihe, Benedict 3 Hackl, Klaus 3 Pach, Martin 2 Adams, James 2 Albin, Nathan 2 Ben Belgacem, Hafedh 2 Carstensen, Carsten 2 Chan, Allan 2 Faraco, Daniel 2 Fokoua, Landry 2 Francfort, Gilles A. 2 Held, Harald 2 Kirchheim, Bernd 2 Niethammer, Barbara 2 Orlando, Antonio 2 Serfaty, Sylvia 1 Alouges, François 1 Ariza, Pilar 1 Atwal, Pradeep 1 Bartels, Sören 1 Beyerlein, Irene J. 1 Bonacini, Marco 1 Bourne, David P. 1 Braides, Andrea 1 Chermisi, Milena 1 Choksi, Rustum 1 Djodom, Landry Fokoua 1 Español, Malena I. 1 Fonseca, Irene 1 Ginster, Janusz 1 Goldman, Michael 1 Hauret, Patrice 1 Heyden, S. 1 Hönig, Andreas 1 Hoppe, Ulrich 1 Kochmann, Dennis M. 1 Kohn, Robert Vita 1 Koser, Melanie 1 Leoni, Giovanni 1 Luckhaus, Stephan 1 Lüthen, Nora 1 Massaccesi, Annalisa 1 Melching, David 1 Nesi, Vincenzo 1 Olbermann, Heiner 1 Pandolfi, Anna 1 Pawelczyk, Matthäus 1 Pokern, Yvo 1 Romeo, Mario 1 Runnels, Brandon 1 Schlömerkemper, Anja 1 Székelyhidi, László jun. 1 Theil, Florian 1 Tobasco, Ian 1 Tölkes, Sascha 1 Truskinovsky, Lev 1 Weinberg, Kerstin 1 Zanzotto, Giovanni all top 5 Serials 18 Archive for Rational Mechanics and Analysis 13 Journal of the Mechanics and Physics of Solids 7 Calculus of Variations and Partial Differential Equations 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 SIAM Journal on Mathematical Analysis 4 Communications on Pure and Applied Mathematics 4 Continuum Mechanics and Thermodynamics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 SIAM Journal on Control and Optimization 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Nonlinear Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Multiscale Modeling & Simulation 2 Oberwolfach Reports 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Statistical Physics 1 Indiana University Mathematics Journal 1 Journal of Optimization Theory and Applications 1 Mathematische Annalen 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal of Elasticity 1 SIAM Journal on Optimization 1 Journal of the European Mathematical Society (JEMS) 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Contemporary Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Lecture Notes in Applied and Computational Mechanics 1 Journal de l’École Polytechnique – Mathématiques 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 92 Mechanics of deformable solids (74-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 28 Partial differential equations (35-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Real functions (26-XX) 5 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 1,330 times in 702 Documents Cited by ▼ Year ▼ Dislocation microstructures and the effective behavior of single crystals. Zbl 1064.74144Conti, Sergio; Ortiz, Michael 53 2005 Single-slip elastoplastic microstructures. Zbl 1076.74017Conti, Sergio; Theil, Florian 48 2005 Branched microstructures: Scaling and asymptotic self-similarity. Zbl 1032.74044Conti, Sergio 45 2000 A new approach to counterexamples to \(L^1\) estimates: Korn’s inequality, geometric rigidity, and regularity for gradients of separately convex functions. Zbl 1080.49026Conti, Sergio; Faraco, Daniel; Maggi, Francesco 45 2005 Rigidity and Gamma convergence for solid-solid phase transitions with \(\text{SO}(2)\) invariance. Zbl 1146.74018Conti, Sergio; Schweizer, Ben 45 2006 Soft elastic response of stretched sheets of nematic elastomers: A numerical study. Zbl 1030.76006Conti, S.; DeSimone, A.; Dolzmann, G. 37 2002 Confining thin elastic sheets and folding paper. Zbl 1127.74005Conti, Sergio; Maggi, Francesco 36 2008 \(h\)-principle and rigidity for \(C^{1,\alpha}\) isometric embeddings. Zbl 1255.53038Conti, Sergio; De Lellis, Camillo; Székelyhidi, László 36 2012 Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan 34 2002 Some remarks on the theory of elasticity for compressible Neohookean materials. Zbl 1114.74004Conti, Sergio; De Lellis, Camillo 32 2003 A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040Conti, Sergio; Fonseca, Irene; Leoni, Giovanni 32 2002 Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix 28 2008 Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S. 27 2000 Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of \(\mathbf F=\mathbf F^e\mathbf F^p\). Zbl 1323.74018Reina, C.; Conti, S. 27 2014 Phase field approximation of cohesive fracture models. Zbl 1345.49012Conti, S.; Focardi, M.; Iurlano, F. 26 2016 Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 25 2009 Korn-Poincarè inequalities for functions with a small jump set. Zbl 1357.49151Chambolle, Antonin; Conti, Sergio; Francfort, Gilles 24 2016 The line-tension approximation as the dilute limit of linear-elastic dislocations. Zbl 1457.35079Conti, Sergio; Garroni, Adriana; Ortiz, Michael 22 2015 Data-driven problems in elasticity. Zbl 1402.35276Conti, S.; Müller, S.; Ortiz, M. 22 2018 Relaxation of a model in finite plasticity with two slip systems. Zbl 1281.49006Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin 22 2013 Sufficient conditions for the validity of the Cauchy-Born rule close to \(\mathrm{SO}(n)\). Zbl 1146.74006Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan 21 2006 On the theory of relaxation in nonlinear elasticity with constraints on the determinant. Zbl 1323.49010Conti, Sergio; Dolzmann, Georg 20 2015 Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity. Zbl 1328.49009Conti, Sergio; Garroni, Adriana; Massaccesi, Annalisa 20 2015 Approximation of a brittle fracture energy with a constraint of non-interpenetration. Zbl 1391.35366Chambolle, Antonin; Conti, Sergio; Francfort, Gilles A. 20 2018 Sharp upper bounds for a variational problem with singular perturbation. Zbl 1186.49004Conti, Sergio; De Lellis, Camillo 19 2007 Minimum principles for the trajectories of systems governed by rate problems. Zbl 1162.74369Conti, S.; Ortiz, M. 19 2008 Existence of strong minimizers for the Griffith static fracture model in dimension two. Zbl 1458.74126Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 19 2019 Integral representation for functionals defined on \(SBD^p\) in dimension two. Zbl 1398.49007Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 19 2017 Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006Conti, Sergio; Garroni, Adriana; Müller, Stefan 18 2011 Which special functions of bounded deformation have bounded variation? Zbl 1381.26017Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 18 2017 Quasiconvex functions incorporating volumetric constraints are rank-one convex. Zbl 1146.49009Conti, Sergio 17 2008 \(\Gamma \)-convergence for incompressible elastic plates. Zbl 1161.74038Conti, Sergio; Dolzmann, Georg 16 2009 Density of polyhedral partitions. Zbl 1366.49051Braides, Andrea; Conti, Sergio; Garroni, Adriana 16 2017 The div-curl lemma for sequences whose divergence and curl are compact in \(W^{-1,1}\). Zbl 1235.46034Conti, Sergio; Dolzmann, Georg; Müller, Stefan 15 2011 Asymptotic behavior of crystal plasticity with one slip system in the limit of rigid elasticity. Zbl 1233.35187Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin 15 2011 Energy scaling and branched microstructures in a model for shape-memory alloys with SO(2) invariance. Zbl 1311.49030Chan, Allan; Conti, Sergio 15 2015 Low-energy deformations of thin elastic plates: isometric embeddings and branching patterns. Zbl 1137.74004Conti, Sergio 14 2004 Relaxation of a class of variational models in crystal plasticity. Zbl 1186.74023Conti, Sergio; Dolzmann, Georg; Klust, Carolin 14 2009 Risk averse shape optimization. Zbl 1230.49039Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 14 2011 Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369Conti, Sergio; Dolzmann, Georg; Müller, Stefan 14 2014 Approximation of functions with small jump sets and existence of strong minimizers of Griffith’s energy. Zbl 1419.49054Chambolle, Antonin; Conti, Sergio; Iurlano, Flaviana 14 2019 A sharp-interface limit for a two-well problem in geometrically linear elasticity. Zbl 1083.74022Conti, Sergio; Schweizer, Ben 13 2006 Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions. Zbl 1131.74037Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd 12 2007 A lower bound for a variational model for pattern formation in shape-memory alloys. Zbl 1113.74020Conti, Sergio 12 2006 Derivation of elastic theories for thin sheets and the constraint of incompressibility. Zbl 1366.74043Conti, Sergio; Dolzmann, Georg 12 2006 Concurrent multiscale computing of deformation microstructure by relaxation and local enrichment with application to single-crystal plasticity. Zbl 1135.74005Conti, Sergio; Hauret, Patrice; Ortiz, Michael 11 2007 Mixed analytical-numerical relaxation in finite single-slip crystal plasticity. Zbl 1160.74326Carstensen, Carsten; Conti, Sergio; Orlando, Antonio 11 2008 Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025Conti, Sergio; Maggi, Francesco; Müller, Stefan 11 2007 Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines. Zbl 1135.26301Conti, S.; Faraco, D.; Maggi, F.; Müller, S. 10 2005 Infinite-order laminates in a model in crystal plasticity. Zbl 1167.74010Albin, Nathan; Conti, Sergio; Dolzmann, Georg 10 2009 Low volume-fraction microstructures in martensites and crystal plasticity. Zbl 1347.49016Conti, Sergio; Zwicknagl, Barbara 9 2016 Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116Conti, Sergio; Otto, Felix; Serfaty, Sylvia 9 2016 Multiwell rigidity in nonlinear elasticity. Zbl 1254.74013Chermisi, Milena; Conti, Sergio 8 2010 A variational model for reconstructive phase transformations in crystals, and their relation to dislocations and plasticity. Zbl 1083.74039Conti, Sergio; Zanzotto, Giovanni 8 2004 Energy scaling and domain branching in solid-solid phase transitions. Zbl 1326.35373Chan, Allan; Conti, Sergio 8 2014 Relaxation of some transversally isotropic energies and applications to smectic a elastomers. Zbl 1151.76373Adams, James; Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg 8 2008 Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Zbl 1404.74015Conti, S.; Klar, M.; Zwicknagl, B. 8 2017 A recursive-faulting model of distributed damage in confined brittle materials. Zbl 1120.74735Pandolfi, A.; Conti, S.; Ortiz, M. 7 2006 Derivation of a plate theory for incompressible materials. Zbl 1112.74037Conti, Sergio; Dolzmann, Georg 7 2007 Relaxation of a model energy for the cubic to tetragonal phase transformation in two dimensions. Zbl 1304.49027Conti, Sergio; Dolzmann, Georg 7 2014 Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069Bourne, David P.; Conti, Sergio; Müller, Stefan 7 2017 Existence of minimizers for the \(2d\) stationary Griffith fracture model. (Existence de déformations minimisant le modèle de Griffith des fractures \(2d\)-stationnaires.) Zbl 1351.49012Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 7 2016 Data-driven finite elasticity. Zbl 1437.35654Conti, S.; Müller, S.; Ortiz, M. 7 2020 Relaxation and microstructure in a model for finite crystal plasticity with one slip system in three dimensions. Zbl 1259.49018Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin 6 2013 Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. Zbl 1323.74074Fokoua, Landry; Conti, Sergio; Ortiz, Michael 6 2014 Optimal scaling in solids undergoing ductile fracture by void sheet formation. Zbl 1294.35161Fokoua, Landry; Conti, Sergio; Ortiz, Michael 6 2014 A \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019Conti, Sergio; Ginster, Janusz; Rumpf, Martin 5 2015 Coarsening rates in off-critical mixtures. Zbl 1141.82010Conti, Sergio; Niethammer, Barbara; Otto, Felix 5 2006 Soft elasticity and microstructure in smectic C elastomers. Zbl 1170.76303Adams, James; Conti, Sergio; DeSimone, Antonio 5 2007 Deformation concentration for martensitic microstructures in the limit of low volume fraction. Zbl 1362.49008Conti, Sergio; Diermeier, Johannes; Zwicknagl, Barbara 5 2017 Multiscale modeling of materials – the role of analysis. Zbl 1065.74056Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg; Müller, Stefan; Otto, Felix 4 2003 Energetics and switching of quasi-uniform states in small ferromagnetic particles. Zbl 1085.82015Alouges, François; Conti, Sergio; DeSimone, Antonio; Pokern, Yvo 4 2004 Self-similar folding patterns and energy scaling in compressed elastic sheets. Zbl 1082.74030Conti, Sergio; DeSimone, Antonio; Müller, Stefan 4 2005 A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity. Zbl 1349.74034Heyden, S.; Li, B.; Weinberg, K.; Conti, S.; Ortiz, M. 4 2015 Symmetry breaking in indented elastic cones. Zbl 1359.74263Conti, Sergio; Olbermann, Heiner; Tobasco, Ian 4 2017 Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result. (Estimées de rigidité pour les champs incompatibles comme conséquence du résultat div-rot de Bourgain et Brezis.) Zbl 1464.49033Conti, Sergio; Garroni, Adriana 4 2021 Nonuniversality in low-volume-fraction Ostwald ripening. Zbl 1101.82024Conti, Sergio; Hönig, Andreas; Niethammer, Barbara; Otto, Felix 3 2006 Gamma convergence for phase transitions in impenetrable elastic materials. Zbl 1383.74074Conti, Sergio; Schweizer, Ben 3 2006 Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha 3 2018 A branched transport limit of the Ginzburg-Landau functional. (Dérivation d’une fonctionnelle de type transport branché à partir du modèle de Ginzburg-Landau.) Zbl 1405.35201Conti, Sergio; Goldman, Michael; Otto, Felix; Serfaty, Sylvia 3 2018 A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems. Zbl 1432.35079Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 3 2019 Relaxation and the computation of effective energies and microstructures in solid mechanics. Zbl 1366.74064Bartels, Sören; Carstensen, Carsten; Conti, Sergio; Hackl, Klaus; Hoppe, Ulrich; Orlando, Antonio 3 2006 Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys. Zbl 1459.49004Conti, Sergio; Diermeier, Johannes; Melching, David; Zwicknagl, Barbara 3 2020 A \(\Gamma\)-convergence analysis of the quasicontinuum method. Zbl 1355.70007Espanõl, Malena I.; Kochmann, Dennis M.; Conti, Sergio; Ortiz, Michael 2 2013 Variational modeling of slip: from crystal plasticity to geological strata. Zbl 1364.74023Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin 2 2015 Optimal scaling in solids undergoing ductile fracture by crazing. Zbl 1343.35226Conti, Sergio; Ortiz, Michael 2 2016 On shape optimization with stochastic loadings. Zbl 1356.93094Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 2 2012 Relaxation in crystal plasticity with three active slip systems. Zbl 1355.74060Conti, Sergio; Dolzmann, Georg 2 2016 Approximation of fracture energies with \(p\)-growth via piecewise affine finite elements. Zbl 1437.65182Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 2 2019 On scalar metrics that maximize geodesic distances in the plane. Zbl 1216.49037Conti, Sergio; Schweizer, Ben 1 2011 Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger 1 2014 Improved bounds for composites and rigidity of gradient fields. Zbl 1129.74038Albin, Nathan; Conti, Sergio; Nesi, Vincenzo 1 2007 Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\). Zbl 1050.49010Conti, Sergio; De Lellis, Camillo; Müller, Stefan; Romeo, Mario 1 2003 Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014Conti, S.; Lenz, M.; Rumpf, M. 1 2007 Analysis and computation of microstructure in finite plasticity. Zbl 1318.74003 1 2015 Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition \(\mathbf{F} = \mathbf{F}^{\mathrm{e}} \mathbf{F}^{\mathrm{i}}\). Zbl 1442.74004Reina, Celia; Conti, Sergio 1 2017 Numerical study of microstructures in single-slip finite elastoplasticity. Zbl 1433.49061Conti, Sergio; Dolzmann, Georg 1 2020 An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. Zbl 1441.74145Conti, Sergio; Dolzmann, Georg 1 2018 Homogenization of vector-valued partition problems and dislocation cell structures in the plane. Zbl 1469.74095Conti, Sergio; Garroni, Adriana; Müller, Stefan 1 2017 Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result. (Estimées de rigidité pour les champs incompatibles comme conséquence du résultat div-rot de Bourgain et Brezis.) Zbl 1464.49033Conti, Sergio; Garroni, Adriana 4 2021 Data-driven finite elasticity. Zbl 1437.35654Conti, S.; Müller, S.; Ortiz, M. 7 2020 Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys. Zbl 1459.49004Conti, Sergio; Diermeier, Johannes; Melching, David; Zwicknagl, Barbara 3 2020 Numerical study of microstructures in single-slip finite elastoplasticity. Zbl 1433.49061Conti, Sergio; Dolzmann, Georg 1 2020 Existence of strong minimizers for the Griffith static fracture model in dimension two. Zbl 1458.74126Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 19 2019 Approximation of functions with small jump sets and existence of strong minimizers of Griffith’s energy. Zbl 1419.49054Chambolle, Antonin; Conti, Sergio; Iurlano, Flaviana 14 2019 A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems. Zbl 1432.35079Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 3 2019 Approximation of fracture energies with \(p\)-growth via piecewise affine finite elements. Zbl 1437.65182Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 2 2019 Data-driven problems in elasticity. Zbl 1402.35276Conti, S.; Müller, S.; Ortiz, M. 22 2018 Approximation of a brittle fracture energy with a constraint of non-interpenetration. Zbl 1391.35366Chambolle, Antonin; Conti, Sergio; Francfort, Gilles A. 20 2018 Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha 3 2018 A branched transport limit of the Ginzburg-Landau functional. (Dérivation d’une fonctionnelle de type transport branché à partir du modèle de Ginzburg-Landau.) Zbl 1405.35201Conti, Sergio; Goldman, Michael; Otto, Felix; Serfaty, Sylvia 3 2018 An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. Zbl 1441.74145Conti, Sergio; Dolzmann, Georg 1 2018 Integral representation for functionals defined on \(SBD^p\) in dimension two. Zbl 1398.49007Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 19 2017 Which special functions of bounded deformation have bounded variation? Zbl 1381.26017Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 18 2017 Density of polyhedral partitions. Zbl 1366.49051Braides, Andrea; Conti, Sergio; Garroni, Adriana 16 2017 Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Zbl 1404.74015Conti, S.; Klar, M.; Zwicknagl, B. 8 2017 Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069Bourne, David P.; Conti, Sergio; Müller, Stefan 7 2017 Deformation concentration for martensitic microstructures in the limit of low volume fraction. Zbl 1362.49008Conti, Sergio; Diermeier, Johannes; Zwicknagl, Barbara 5 2017 Symmetry breaking in indented elastic cones. Zbl 1359.74263Conti, Sergio; Olbermann, Heiner; Tobasco, Ian 4 2017 Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition \(\mathbf{F} = \mathbf{F}^{\mathrm{e}} \mathbf{F}^{\mathrm{i}}\). Zbl 1442.74004Reina, Celia; Conti, Sergio 1 2017 Homogenization of vector-valued partition problems and dislocation cell structures in the plane. Zbl 1469.74095Conti, Sergio; Garroni, Adriana; Müller, Stefan 1 2017 Phase field approximation of cohesive fracture models. Zbl 1345.49012Conti, S.; Focardi, M.; Iurlano, F. 26 2016 Korn-Poincarè inequalities for functions with a small jump set. Zbl 1357.49151Chambolle, Antonin; Conti, Sergio; Francfort, Gilles 24 2016 Low volume-fraction microstructures in martensites and crystal plasticity. Zbl 1347.49016Conti, Sergio; Zwicknagl, Barbara 9 2016 Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116Conti, Sergio; Otto, Felix; Serfaty, Sylvia 9 2016 Existence of minimizers for the \(2d\) stationary Griffith fracture model. (Existence de déformations minimisant le modèle de Griffith des fractures \(2d\)-stationnaires.) Zbl 1351.49012Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 7 2016 Optimal scaling in solids undergoing ductile fracture by crazing. Zbl 1343.35226Conti, Sergio; Ortiz, Michael 2 2016 Relaxation in crystal plasticity with three active slip systems. Zbl 1355.74060Conti, Sergio; Dolzmann, Georg 2 2016 The line-tension approximation as the dilute limit of linear-elastic dislocations. Zbl 1457.35079Conti, Sergio; Garroni, Adriana; Ortiz, Michael 22 2015 On the theory of relaxation in nonlinear elasticity with constraints on the determinant. Zbl 1323.49010Conti, Sergio; Dolzmann, Georg 20 2015 Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity. Zbl 1328.49009Conti, Sergio; Garroni, Adriana; Massaccesi, Annalisa 20 2015 Energy scaling and branched microstructures in a model for shape-memory alloys with SO(2) invariance. Zbl 1311.49030Chan, Allan; Conti, Sergio 15 2015 A \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019Conti, Sergio; Ginster, Janusz; Rumpf, Martin 5 2015 A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity. Zbl 1349.74034Heyden, S.; Li, B.; Weinberg, K.; Conti, S.; Ortiz, M. 4 2015 Variational modeling of slip: from crystal plasticity to geological strata. Zbl 1364.74023Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin 2 2015 Analysis and computation of microstructure in finite plasticity. Zbl 1318.74003 1 2015 Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of \(\mathbf F=\mathbf F^e\mathbf F^p\). Zbl 1323.74018Reina, C.; Conti, S. 27 2014 Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369Conti, Sergio; Dolzmann, Georg; Müller, Stefan 14 2014 Energy scaling and domain branching in solid-solid phase transitions. Zbl 1326.35373Chan, Allan; Conti, Sergio 8 2014 Relaxation of a model energy for the cubic to tetragonal phase transformation in two dimensions. Zbl 1304.49027Conti, Sergio; Dolzmann, Georg 7 2014 Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. Zbl 1323.74074Fokoua, Landry; Conti, Sergio; Ortiz, Michael 6 2014 Optimal scaling in solids undergoing ductile fracture by void sheet formation. Zbl 1294.35161Fokoua, Landry; Conti, Sergio; Ortiz, Michael 6 2014 Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger 1 2014 Relaxation of a model in finite plasticity with two slip systems. Zbl 1281.49006Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin 22 2013 Relaxation and microstructure in a model for finite crystal plasticity with one slip system in three dimensions. Zbl 1259.49018Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin 6 2013 A \(\Gamma\)-convergence analysis of the quasicontinuum method. Zbl 1355.70007Espanõl, Malena I.; Kochmann, Dennis M.; Conti, Sergio; Ortiz, Michael 2 2013 \(h\)-principle and rigidity for \(C^{1,\alpha}\) isometric embeddings. Zbl 1255.53038Conti, Sergio; De Lellis, Camillo; Székelyhidi, László 36 2012 On shape optimization with stochastic loadings. Zbl 1356.93094Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 2 2012 Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006Conti, Sergio; Garroni, Adriana; Müller, Stefan 18 2011 The div-curl lemma for sequences whose divergence and curl are compact in \(W^{-1,1}\). Zbl 1235.46034Conti, Sergio; Dolzmann, Georg; Müller, Stefan 15 2011 Asymptotic behavior of crystal plasticity with one slip system in the limit of rigid elasticity. Zbl 1233.35187Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin 15 2011 Risk averse shape optimization. Zbl 1230.49039Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 14 2011 On scalar metrics that maximize geodesic distances in the plane. Zbl 1216.49037Conti, Sergio; Schweizer, Ben 1 2011 Multiwell rigidity in nonlinear elasticity. Zbl 1254.74013Chermisi, Milena; Conti, Sergio 8 2010 Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 25 2009 \(\Gamma \)-convergence for incompressible elastic plates. Zbl 1161.74038Conti, Sergio; Dolzmann, Georg 16 2009 Relaxation of a class of variational models in crystal plasticity. Zbl 1186.74023Conti, Sergio; Dolzmann, Georg; Klust, Carolin 14 2009 Infinite-order laminates in a model in crystal plasticity. Zbl 1167.74010Albin, Nathan; Conti, Sergio; Dolzmann, Georg 10 2009 Confining thin elastic sheets and folding paper. Zbl 1127.74005Conti, Sergio; Maggi, Francesco 36 2008 Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix 28 2008 Minimum principles for the trajectories of systems governed by rate problems. Zbl 1162.74369Conti, S.; Ortiz, M. 19 2008 Quasiconvex functions incorporating volumetric constraints are rank-one convex. Zbl 1146.49009Conti, Sergio 17 2008 Mixed analytical-numerical relaxation in finite single-slip crystal plasticity. Zbl 1160.74326Carstensen, Carsten; Conti, Sergio; Orlando, Antonio 11 2008 Relaxation of some transversally isotropic energies and applications to smectic a elastomers. Zbl 1151.76373Adams, James; Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg 8 2008 Sharp upper bounds for a variational problem with singular perturbation. Zbl 1186.49004Conti, Sergio; De Lellis, Camillo 19 2007 Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions. Zbl 1131.74037Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd 12 2007 Concurrent multiscale computing of deformation microstructure by relaxation and local enrichment with application to single-crystal plasticity. Zbl 1135.74005Conti, Sergio; Hauret, Patrice; Ortiz, Michael 11 2007 Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025Conti, Sergio; Maggi, Francesco; Müller, Stefan 11 2007 Derivation of a plate theory for incompressible materials. Zbl 1112.74037Conti, Sergio; Dolzmann, Georg 7 2007 Soft elasticity and microstructure in smectic C elastomers. Zbl 1170.76303Adams, James; Conti, Sergio; DeSimone, Antonio 5 2007 Improved bounds for composites and rigidity of gradient fields. Zbl 1129.74038Albin, Nathan; Conti, Sergio; Nesi, Vincenzo 1 2007 Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014Conti, S.; Lenz, M.; Rumpf, M. 1 2007 Rigidity and Gamma convergence for solid-solid phase transitions with \(\text{SO}(2)\) invariance. Zbl 1146.74018Conti, Sergio; Schweizer, Ben 45 2006 Sufficient conditions for the validity of the Cauchy-Born rule close to \(\mathrm{SO}(n)\). Zbl 1146.74006Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan 21 2006 A sharp-interface limit for a two-well problem in geometrically linear elasticity. Zbl 1083.74022Conti, Sergio; Schweizer, Ben 13 2006 A lower bound for a variational model for pattern formation in shape-memory alloys. Zbl 1113.74020Conti, Sergio 12 2006 Derivation of elastic theories for thin sheets and the constraint of incompressibility. Zbl 1366.74043Conti, Sergio; Dolzmann, Georg 12 2006 A recursive-faulting model of distributed damage in confined brittle materials. Zbl 1120.74735Pandolfi, A.; Conti, S.; Ortiz, M. 7 2006 Coarsening rates in off-critical mixtures. Zbl 1141.82010Conti, Sergio; Niethammer, Barbara; Otto, Felix 5 2006 Nonuniversality in low-volume-fraction Ostwald ripening. Zbl 1101.82024Conti, Sergio; Hönig, Andreas; Niethammer, Barbara; Otto, Felix 3 2006 Gamma convergence for phase transitions in impenetrable elastic materials. Zbl 1383.74074Conti, Sergio; Schweizer, Ben 3 2006 Relaxation and the computation of effective energies and microstructures in solid mechanics. Zbl 1366.74064Bartels, Sören; Carstensen, Carsten; Conti, Sergio; Hackl, Klaus; Hoppe, Ulrich; Orlando, Antonio 3 2006 Dislocation microstructures and the effective behavior of single crystals. Zbl 1064.74144Conti, Sergio; Ortiz, Michael 53 2005 Single-slip elastoplastic microstructures. Zbl 1076.74017Conti, Sergio; Theil, Florian 48 2005 A new approach to counterexamples to \(L^1\) estimates: Korn’s inequality, geometric rigidity, and regularity for gradients of separately convex functions. Zbl 1080.49026Conti, Sergio; Faraco, Daniel; Maggi, Francesco 45 2005 Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines. Zbl 1135.26301Conti, S.; Faraco, D.; Maggi, F.; Müller, S. 10 2005 Self-similar folding patterns and energy scaling in compressed elastic sheets. Zbl 1082.74030Conti, Sergio; DeSimone, Antonio; Müller, Stefan 4 2005 Low-energy deformations of thin elastic plates: isometric embeddings and branching patterns. Zbl 1137.74004Conti, Sergio 14 2004 A variational model for reconstructive phase transformations in crystals, and their relation to dislocations and plasticity. Zbl 1083.74039Conti, Sergio; Zanzotto, Giovanni 8 2004 Energetics and switching of quasi-uniform states in small ferromagnetic particles. Zbl 1085.82015Alouges, François; Conti, Sergio; DeSimone, Antonio; Pokern, Yvo 4 2004 Some remarks on the theory of elasticity for compressible Neohookean materials. Zbl 1114.74004Conti, Sergio; De Lellis, Camillo 32 2003 Multiscale modeling of materials – the role of analysis. Zbl 1065.74056Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg; Müller, Stefan; Otto, Felix 4 2003 Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\). Zbl 1050.49010Conti, Sergio; De Lellis, Camillo; Müller, Stefan; Romeo, Mario 1 2003 Soft elastic response of stretched sheets of nematic elastomers: A numerical study. Zbl 1030.76006Conti, S.; DeSimone, A.; Dolzmann, G. 37 2002 Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan 34 2002 A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040Conti, Sergio; Fonseca, Irene; Leoni, Giovanni 32 2002 Branched microstructures: Scaling and asymptotic self-similarity. Zbl 1032.74044Conti, Sergio 45 2000 Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S. 27 2000 all cited Publications top 5 cited Publications all top 5 Cited by 782 Authors 73 Conti, Sergio 32 Ortiz, Michael 22 Müller, Stefan 20 Stefanelli, Ulisse 18 Garroni, Adriana 16 Dolzmann, Georg 14 DeSimone, Antonio 12 Friedrich, Manuel 12 Mielke, Alexander 11 Kohn, Robert Vita 11 Rüland, Angkana 11 Zwicknagl, Barbara Maria 10 Chambolle, Antonin 10 Kružík, Martin 10 Lewicka, Marta 10 Olbermann, Heiner 10 Otto, Felix 9 Crismale, Vito 9 Henao, Duvan A. 9 Iurlano, Flaviana 9 Mora-Corral, Carlos 9 Rumpf, Martin 9 Székelyhidi, László jun. 8 De Lellis, Camillo 8 Focardi, Matteo 8 Fonseca, Irene 8 Kreisbeck, Carolin 8 Mardare, Cristinel 8 Neff, Patrizio 7 Bella, Peter 7 Cesana, Pierluigi 7 Cicalese, Marco 7 Gmeineder, Franz 7 Palombaro, Mariapia 7 Stainier, Laurent 6 Ciarlet, Philippe Gaston 6 Della Porta, Francesco 6 Dondl, Patrick Werner 6 Goldman, Michael 6 Hornung, Peter 6 Knüpfer, Hans 6 Kochmann, Dennis M. 6 Lorent, Andrew 6 Poliakovsky, Arkady 6 Ponsiglione, Marcello 6 Rindler, Filip 5 Agostiniani, Virginia 5 Alicandro, Roberto 5 Bartels, Sören 5 Braides, Andrea 5 De Philippis, Guido 5 Ginster, Janusz 5 Hackl, Klaus 5 Hencl, Stanislav 5 Ignat, Radu 5 James, Richard D. 5 Kauranen, Aapo 5 Kirchheim, Bernd 5 Lazzaroni, Giuliano 5 Leoni, Giovanni 5 Malin, Maria 5 Malý, Jan 5 Merlet, Benoît 5 Osękowski, Adam 5 Reina, Celia 5 Scardia, Lucia 5 Schmidt, Bernd 5 Schultz, Rüdiger 5 Schweizer, Ben 5 Serfaty, Sylvia 5 Solombrino, Francesco 5 Wirth, Benedikt 5 Zillinger, Christian 4 Acharya, Amit 4 Benešová, Barbora 4 Bhattacharya, Kaushik 4 Dal Maso, Gianni 4 de Lorenzis, Laura 4 De Luca, Lucia 4 Diermeier, Johannes 4 Guo, Xu 4 Iwaniec, Tadeusz 4 Kristensen, Jan 4 Martínez-Frutos, Jesús 4 Mora, Maria Giovanna 4 Muratov, Cyrill B. 4 Oliva, Marcos 4 Onninen, Jani 4 Orlando, Gianluca 4 Pakzad, Mohammad Reza 4 Scala, Riccardo 4 Schlömerkemper, Anja 4 Spector, Scott J. 4 Tang, Shan 4 Van Goethem, Nicolas 4 Weinberg, Kerstin 4 Yang, Hang 4 Zeppieri, Caterina Ida 3 Akagi, Goro 3 Alouges, François ...and 682 more Authors all top 5 Cited in 139 Serials 89 Archive for Rational Mechanics and Analysis 48 Computer Methods in Applied Mechanics and Engineering 44 Calculus of Variations and Partial Differential Equations 37 Journal of the Mechanics and Physics of Solids 29 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 26 SIAM Journal on Mathematical Analysis 23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 20 Journal of Nonlinear Science 19 Journal of Elasticity 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Continuum Mechanics and Thermodynamics 10 Journal of Functional Analysis 9 Communications on Pure and Applied Mathematics 8 Journal of Mathematical Analysis and Applications 8 Journal of the European Mathematical Society (JEMS) 8 Advances in Calculus of Variations 7 Mathematics and Mechanics of Solids 6 Communications in Mathematical Physics 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Computational Mechanics 5 Nonlinearity 5 Journal of Differential Equations 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Bulletin of the American Mathematical Society. New Series 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Discrete and Continuous Dynamical Systems. Series S 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 International Journal for Numerical Methods in Engineering 4 Meccanica 4 Applied Mathematical Modelling 4 SIAM Journal on Optimization 4 Annals of Mathematics. Second Series 4 Analysis & PDE 3 Journal of Computational Physics 3 Journal of Statistical Physics 3 Quarterly of Applied Mathematics 3 SIAM Journal on Control and Optimization 3 Chinese Annals of Mathematics. Series B 3 Revista Matemática Iberoamericana 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Convex Analysis 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Communications in Contemporary Mathematics 3 Structural and Multidisciplinary Optimization 3 Oberwolfach Reports 3 GAMM-Mitteilungen 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 International Journal of Engineering Science 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Advances in Mathematics 2 Indiana University Mathematics Journal 2 Journal of Optimization Theory and Applications 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Zeitschrift für Analysis und ihre Anwendungen 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Japan Journal of Industrial and Applied Mathematics 2 Mathematical Programming. Series A. Series B 2 Discrete and Continuous Dynamical Systems 2 European Journal of Mechanics. A. Solids 2 Interfaces and Free Boundaries 2 Optimization and Engineering 2 Journal of Evolution Equations 2 Communications on Pure and Applied Analysis 2 Analysis and Applications (Singapore) 2 Set-Valued and Variational Analysis 2 Annals of PDE 1 Acta Mechanica 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 Israel Journal of Mathematics 1 Journal of Fluid Mechanics 1 Reviews of Modern Physics 1 Mathematics of Computation 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Kybernetika 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 SIAM Journal on Numerical Analysis 1 Tohoku Mathematical Journal. Second Series 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis ...and 39 more Serials all top 5 Cited in 43 Fields 449 Mechanics of deformable solids (74-XX) 241 Calculus of variations and optimal control; optimization (49-XX) 217 Partial differential equations (35-XX) 63 Statistical mechanics, structure of matter (82-XX) 50 Fluid mechanics (76-XX) 48 Real functions (26-XX) 45 Numerical analysis (65-XX) 41 Differential geometry (53-XX) 38 Functional analysis (46-XX) 20 Operations research, mathematical programming (90-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Probability theory and stochastic processes (60-XX) 12 Functions of a complex variable (30-XX) 12 Mechanics of particles and systems (70-XX) 11 Measure and integration (28-XX) 10 Computer science (68-XX) 10 Systems theory; control (93-XX) 9 Operator theory (47-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Optics, electromagnetic theory (78-XX) 8 Biology and other natural sciences (92-XX) 7 Information and communication theory, circuits (94-XX) 6 Statistics (62-XX) 5 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 3 Convex and discrete geometry (52-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year