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: 116 Publications since 2000, including 1 Book 3 Contributions as Editor Co-Authors: 81 Co-Authors with 114 Joint Publications 2,151 Co-Co-Authors all top 5 Co-Authors 5 single-authored 23 Dolzmann, Georg 18 Ortiz, Michael 17 Müller, Stefan 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 O. 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 Kohn, Robert Vita 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 Gmeineder, Franz 1 Goldman, Michael 1 Hauret, Patrice 1 Heyden, S. 1 Hoffmann, Franca 1 Hönig, Andreas 1 Hoppe, Ulrich 1 Kochmann, Dennis M. 1 Koser, Melanie 1 Leoni, Giovanni 1 Li, Bo 1 Luckhaus, Stephan 1 Lüthen, Nora 1 Massaccesi, Annalisa 1 Melching, David 1 Misiats, Oleksandr 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 19 Archive for Rational Mechanics and Analysis 13 Journal of the Mechanics and Physics of Solids 8 Calculus of Variations and Partial Differential Equations 7 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 95 Mechanics of deformable solids (74-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 29 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 103 Publications have been cited 1,478 times in 763 Documents Cited by ▼ Year ▼ Dislocation microstructures and the effective behavior of single crystals. Zbl 1064.74144Conti, Sergio; Ortiz, Michael 55 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 52 2005 Single-slip elastoplastic microstructures. Zbl 1076.74017Conti, Sergio; Theil, Florian 52 2005 Soft elastic response of stretched sheets of nematic elastomers: A numerical study. Zbl 1030.76006Conti, S.; DeSimone, A.; Dolzmann, G. 48 2002 Branched microstructures: Scaling and asymptotic self-similarity. Zbl 1032.74044Conti, Sergio 47 2000 Rigidity and Gamma convergence for solid-solid phase transitions with \(\text{SO}(2)\) invariance. Zbl 1146.74018Conti, Sergio; Schweizer, Ben 47 2006 Confining thin elastic sheets and folding paper. Zbl 1127.74005Conti, Sergio; Maggi, Francesco 42 2008 \(h\)-principle and rigidity for \(C^{1,\alpha}\) isometric embeddings. Zbl 1255.53038Conti, Sergio; De Lellis, Camillo; Székelyhidi, László 42 2012 Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan 36 2002 Some remarks on the theory of elasticity for compressible Neohookean materials. Zbl 1114.74004Conti, Sergio; De Lellis, Camillo 36 2003 A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040Conti, Sergio; Fonseca, Irene; Leoni, Giovanni 33 2002 Phase field approximation of cohesive fracture models. Zbl 1345.49012Conti, S.; Focardi, M.; Iurlano, F. 33 2016 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. 31 2014 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 29 2008 Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S. 29 2000 Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 27 2009 Data-driven problems in elasticity. Zbl 1402.35276Conti, S.; Müller, S.; Ortiz, M. 27 2018 Korn-Poincarè inequalities for functions with a small jump set. Zbl 1357.49151Chambolle, Antonin; Conti, Sergio; Francfort, Gilles 26 2016 Sharp upper bounds for a variational problem with singular perturbation. Zbl 1186.49004Conti, Sergio; De Lellis, Camillo 25 2007 On the theory of relaxation in nonlinear elasticity with constraints on the determinant. Zbl 1323.49010Conti, Sergio; Dolzmann, Georg 24 2015 The line-tension approximation as the dilute limit of linear-elastic dislocations. Zbl 1457.35079Conti, Sergio; Garroni, Adriana; Ortiz, Michael 23 2015 Integral representation for functionals defined on \(SBD^p\) in dimension two. Zbl 1398.49007Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 23 2017 Relaxation of a model in finite plasticity with two slip systems. Zbl 1281.49006Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin 23 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 22 2006 Approximation of a brittle fracture energy with a constraint of non-interpenetration. Zbl 1391.35366Chambolle, Antonin; Conti, Sergio; Francfort, Gilles A. 22 2018 Existence of strong minimizers for the Griffith static fracture model in dimension two. Zbl 1458.74126Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 21 2019 Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity. Zbl 1328.49009Conti, Sergio; Garroni, Adriana; Massaccesi, Annalisa 21 2015 Minimum principles for the trajectories of systems governed by rate problems. Zbl 1162.74369Conti, S.; Ortiz, M. 21 2008 Which special functions of bounded deformation have bounded variation? Zbl 1381.26017Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 21 2017 Quasiconvex functions incorporating volumetric constraints are rank-one convex. Zbl 1146.49009Conti, Sergio 20 2008 \(\Gamma \)-convergence for incompressible elastic plates. Zbl 1161.74038Conti, Sergio; Dolzmann, Georg 18 2009 Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006Conti, Sergio; Garroni, Adriana; Müller, Stefan 18 2011 Density of polyhedral partitions. Zbl 1366.49051Braides, Andrea; Conti, Sergio; Garroni, Adriana 17 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 16 2011 Risk averse shape optimization. Zbl 1230.49039Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 16 2011 Asymptotic behavior of crystal plasticity with one slip system in the limit of rigid elasticity. Zbl 1233.35187Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin 16 2011 Energy scaling and branched microstructures in a model for shape-memory alloys with SO(2) invariance. Zbl 1311.49030Chan, Allan; Conti, Sergio 16 2015 Approximation of functions with small jump sets and existence of strong minimizers of Griffith’s energy. Zbl 1419.49054Chambolle, Antonin; Conti, Sergio; Iurlano, Flaviana 16 2019 Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369Conti, Sergio; Dolzmann, Georg; Müller, Stefan 15 2014 Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions. Zbl 1131.74037Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd 14 2007 A lower bound for a variational model for pattern formation in shape-memory alloys. Zbl 1113.74020Conti, Sergio 14 2006 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 A sharp-interface limit for a two-well problem in geometrically linear elasticity. Zbl 1083.74022Conti, Sergio; Schweizer, Ben 13 2006 Derivation of elastic theories for thin sheets and the constraint of incompressibility. Zbl 1366.74043Conti, Sergio; Dolzmann, Georg 13 2006 Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025Conti, Sergio; Maggi, Francesco; Müller, Stefan 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 12 2007 Mixed analytical-numerical relaxation in finite single-slip crystal plasticity. Zbl 1160.74326Carstensen, Carsten; Conti, Sergio; Orlando, Antonio 12 2008 Low volume-fraction microstructures in martensites and crystal plasticity. Zbl 1347.49016Conti, Sergio; Zwicknagl, Barbara 11 2016 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. 11 2005 Infinite-order laminates in a model in crystal plasticity. Zbl 1167.74010Albin, Nathan; Conti, Sergio; Dolzmann, Georg 10 2009 Energy scaling and domain branching in solid-solid phase transitions. Zbl 1326.35373Chan, Allan; Conti, Sergio 10 2014 Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116Conti, Sergio; Otto, Felix; Serfaty, Sylvia 10 2016 Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Zbl 1404.74015Conti, S.; Klar, M.; Zwicknagl, B. 9 2017 Data-driven finite elasticity. Zbl 1437.35654Conti, S.; Müller, S.; Ortiz, M. 9 2020 A variational model for reconstructive phase transformations in crystals, and their relation to dislocations and plasticity. Zbl 1083.74039Conti, Sergio; Zanzotto, Giovanni 8 2004 Multiwell rigidity in nonlinear elasticity. Zbl 1254.74013Chermisi, Milena; Conti, Sergio 8 2010 Relaxation of a model energy for the cubic to tetragonal phase transformation in two dimensions. Zbl 1304.49027Conti, Sergio; Dolzmann, Georg 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 A recursive-faulting model of distributed damage in confined brittle materials. Zbl 1120.74735Pandolfi, A.; Conti, S.; Ortiz, M. 7 2006 Deformation concentration for martensitic microstructures in the limit of low volume fraction. Zbl 1362.49008Conti, Sergio; Diermeier, Johannes; Zwicknagl, Barbara 7 2017 Derivation of a plate theory for incompressible materials. Zbl 1112.74037Conti, Sergio; Dolzmann, Georg 7 2007 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 Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069Bourne, David P.; Conti, Sergio; Müller, Stefan 7 2017 Optimal scaling in solids undergoing ductile fracture by void sheet formation. Zbl 1294.35161Fokoua, Landry; Conti, Sergio; Ortiz, Michael 6 2014 Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. Zbl 1323.74074Fokoua, Landry; Conti, Sergio; Ortiz, Michael 6 2014 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 Energetics and switching of quasi-uniform states in small ferromagnetic particles. Zbl 1085.82015Alouges, François; Conti, Sergio; DeSimone, Antonio; Pokern, Yvo 5 2004 Soft elasticity and microstructure in smectic C elastomers. Zbl 1170.76303Adams, James; Conti, Sergio; DeSimone, Antonio 5 2007 Coarsening rates in off-critical mixtures. Zbl 1141.82010Conti, Sergio; Niethammer, Barbara; Otto, Felix 5 2006 A \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019Conti, Sergio; Ginster, Janusz; Rumpf, Martin 5 2015 Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys. Zbl 1459.49004Conti, Sergio; Diermeier, Johannes; Melching, David; Zwicknagl, Barbara 4 2020 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 Multiscale modeling of materials – the role of analysis. Zbl 1065.74056Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg; Müller, Stefan; Otto, Felix 4 2003 Self-similar folding patterns and energy scaling in compressed elastic sheets. Zbl 1082.74030Conti, Sergio; DeSimone, Antonio; Müller, Stefan 4 2005 Symmetry breaking in indented elastic cones. Zbl 1359.74263Conti, Sergio; Olbermann, Heiner; Tobasco, Ian 4 2017 A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems. Zbl 1432.35079Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 4 2019 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 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 Optimal scaling in solids undergoing ductile fracture by crazing. Zbl 1343.35226Conti, Sergio; Ortiz, Michael 3 2016 Gamma convergence for phase transitions in impenetrable elastic materials. Zbl 1383.74074Conti, Sergio; Schweizer, Ben 3 2006 Variational modeling of slip: from crystal plasticity to geological strata. Zbl 1364.74023Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin 3 2015 Nonuniversality in low-volume-fraction Ostwald ripening. Zbl 1101.82024Conti, Sergio; Hönig, Andreas; Niethammer, Barbara; Otto, Felix 3 2006 Approximation of fracture energies with \(p\)-growth via piecewise affine finite elements. Zbl 1437.65182Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 3 2019 Symmetric div-quasiconvexity and the relaxation of static problems. Zbl 1434.74010Conti, S.; Müller, S.; Ortiz, M. 3 2020 Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha 3 2018 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 An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. Zbl 1441.74145Conti, Sergio; Dolzmann, Georg 2 2018 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 2 2017 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 2 2003 Numerical study of microstructures in single-slip finite elastoplasticity. Zbl 1433.49061Conti, Sergio; Dolzmann, Georg 2 2020 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 A \(\Gamma\)-convergence analysis of the quasicontinuum method. Zbl 1355.70007Espanõl, Malena I.; Kochmann, Dennis M.; Conti, Sergio; Ortiz, Michael 2 2013 Kinematics of elasto-plasticity: validity and limits of applicability of \(\mathbf{F}=\mathbf{F}^{\mathrm{e}}\mathbf{F}^{\mathrm{p}}\) for general three-dimensional deformations. Zbl 1479.74016Reina, Celia; Fokoua Djodom, Landry; Ortiz, Michael; Conti, Sergio 2 2018 Variational modeling of dislocations in crystals in the line-tension limit. Zbl 1402.82018Ariza, Pilar; Conti, Sergio; Garroni, Adriana; Ortiz, Michael 1 2018 Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger 1 2014 On scalar metrics that maximize geodesic distances in the plane. Zbl 1216.49037Conti, Sergio; Schweizer, Ben 1 2011 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 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. 9 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 4 2020 Symmetric div-quasiconvexity and the relaxation of static problems. Zbl 1434.74010Conti, S.; Müller, S.; Ortiz, M. 3 2020 Numerical study of microstructures in single-slip finite elastoplasticity. Zbl 1433.49061Conti, Sergio; Dolzmann, Georg 2 2020 Existence of strong minimizers for the Griffith static fracture model in dimension two. Zbl 1458.74126Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 21 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 16 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 4 2019 Approximation of fracture energies with \(p\)-growth via piecewise affine finite elements. Zbl 1437.65182Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 3 2019 Data-driven problems in elasticity. Zbl 1402.35276Conti, S.; Müller, S.; Ortiz, M. 27 2018 Approximation of a brittle fracture energy with a constraint of non-interpenetration. Zbl 1391.35366Chambolle, Antonin; Conti, Sergio; Francfort, Gilles A. 22 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 Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha 3 2018 An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. Zbl 1441.74145Conti, Sergio; Dolzmann, Georg 2 2018 Kinematics of elasto-plasticity: validity and limits of applicability of \(\mathbf{F}=\mathbf{F}^{\mathrm{e}}\mathbf{F}^{\mathrm{p}}\) for general three-dimensional deformations. Zbl 1479.74016Reina, Celia; Fokoua Djodom, Landry; Ortiz, Michael; Conti, Sergio 2 2018 Variational modeling of dislocations in crystals in the line-tension limit. Zbl 1402.82018Ariza, Pilar; Conti, Sergio; Garroni, Adriana; Ortiz, Michael 1 2018 Integral representation for functionals defined on \(SBD^p\) in dimension two. Zbl 1398.49007Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 23 2017 Which special functions of bounded deformation have bounded variation? Zbl 1381.26017Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana 21 2017 Density of polyhedral partitions. Zbl 1366.49051Braides, Andrea; Conti, Sergio; Garroni, Adriana 17 2017 Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Zbl 1404.74015Conti, S.; Klar, M.; Zwicknagl, B. 9 2017 Deformation concentration for martensitic microstructures in the limit of low volume fraction. Zbl 1362.49008Conti, Sergio; Diermeier, Johannes; Zwicknagl, Barbara 7 2017 Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069Bourne, David P.; Conti, Sergio; Müller, Stefan 7 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 2 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. 33 2016 Korn-Poincarè inequalities for functions with a small jump set. Zbl 1357.49151Chambolle, Antonin; Conti, Sergio; Francfort, Gilles 26 2016 Low volume-fraction microstructures in martensites and crystal plasticity. Zbl 1347.49016Conti, Sergio; Zwicknagl, Barbara 11 2016 Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116Conti, Sergio; Otto, Felix; Serfaty, Sylvia 10 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 3 2016 Relaxation in crystal plasticity with three active slip systems. Zbl 1355.74060Conti, Sergio; Dolzmann, Georg 2 2016 Derivation of \(\mathbf{F} = \mathbf{F}^{\operatorname{e}} \mathbf{F}^{\operatorname{p}}\) as the continuum limit of crystalline slip. Zbl 1478.74019Reina, Celia; Schlömerkemper, Anja; Conti, Sergio 1 2016 On the theory of relaxation in nonlinear elasticity with constraints on the determinant. Zbl 1323.49010Conti, Sergio; Dolzmann, Georg 24 2015 The line-tension approximation as the dilute limit of linear-elastic dislocations. Zbl 1457.35079Conti, Sergio; Garroni, Adriana; Ortiz, Michael 23 2015 Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity. Zbl 1328.49009Conti, Sergio; Garroni, Adriana; Massaccesi, Annalisa 21 2015 Energy scaling and branched microstructures in a model for shape-memory alloys with SO(2) invariance. Zbl 1311.49030Chan, Allan; Conti, Sergio 16 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 3 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. 31 2014 Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369Conti, Sergio; Dolzmann, Georg; Müller, Stefan 15 2014 Energy scaling and domain branching in solid-solid phase transitions. Zbl 1326.35373Chan, Allan; Conti, Sergio 10 2014 Relaxation of a model energy for the cubic to tetragonal phase transformation in two dimensions. Zbl 1304.49027Conti, Sergio; Dolzmann, Georg 8 2014 Optimal scaling in solids undergoing ductile fracture by void sheet formation. Zbl 1294.35161Fokoua, Landry; Conti, Sergio; Ortiz, Michael 6 2014 Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. Zbl 1323.74074Fokoua, 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 23 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 42 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 16 2011 Risk averse shape optimization. Zbl 1230.49039Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger 16 2011 Asymptotic behavior of crystal plasticity with one slip system in the limit of rigid elasticity. Zbl 1233.35187Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin 16 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 27 2009 \(\Gamma \)-convergence for incompressible elastic plates. Zbl 1161.74038Conti, Sergio; Dolzmann, Georg 18 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 42 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 29 2008 Minimum principles for the trajectories of systems governed by rate problems. Zbl 1162.74369Conti, S.; Ortiz, M. 21 2008 Quasiconvex functions incorporating volumetric constraints are rank-one convex. Zbl 1146.49009Conti, Sergio 20 2008 Mixed analytical-numerical relaxation in finite single-slip crystal plasticity. Zbl 1160.74326Carstensen, Carsten; Conti, Sergio; Orlando, Antonio 12 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 25 2007 Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions. Zbl 1131.74037Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd 14 2007 Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025Conti, Sergio; Maggi, Francesco; Müller, Stefan 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 12 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 47 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 22 2006 A lower bound for a variational model for pattern formation in shape-memory alloys. Zbl 1113.74020Conti, Sergio 14 2006 A sharp-interface limit for a two-well problem in geometrically linear elasticity. Zbl 1083.74022Conti, Sergio; Schweizer, Ben 13 2006 Derivation of elastic theories for thin sheets and the constraint of incompressibility. Zbl 1366.74043Conti, Sergio; Dolzmann, Georg 13 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 Gamma convergence for phase transitions in impenetrable elastic materials. Zbl 1383.74074Conti, Sergio; Schweizer, Ben 3 2006 Nonuniversality in low-volume-fraction Ostwald ripening. Zbl 1101.82024Conti, Sergio; Hönig, Andreas; Niethammer, Barbara; Otto, Felix 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 55 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 52 2005 Single-slip elastoplastic microstructures. Zbl 1076.74017Conti, Sergio; Theil, Florian 52 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. 11 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 5 2004 Some remarks on the theory of elasticity for compressible Neohookean materials. Zbl 1114.74004Conti, Sergio; De Lellis, Camillo 36 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 2 2003 Soft elastic response of stretched sheets of nematic elastomers: A numerical study. Zbl 1030.76006Conti, S.; DeSimone, A.; Dolzmann, G. 48 2002 Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan 36 2002 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 849 Authors 75 Conti, Sergio 32 Ortiz, Michael 22 Müller, Stefan 21 Stefanelli, Ulisse 18 Garroni, Adriana 17 Dolzmann, Georg 14 DeSimone, Antonio 14 Friedrich, Manuel 13 Rüland, Angkana 12 Kružík, Martin 12 Lewicka, Marta 12 Mielke, Alexander 12 Zwicknagl, Barbara Maria 11 Chambolle, Antonin 11 Crismale, Vito 11 Kohn, Robert Vita 10 Olbermann, Heiner 10 Otto, Felix 10 Székelyhidi, László jun. 9 Fonseca, Irene 9 Gmeineder, Franz 9 Henao, Duvan A. 9 Iurlano, Flaviana 9 Kreisbeck, Carolin 9 Mora-Corral, Carlos 9 Neff, Patrizio 9 Rumpf, Martin 8 Cesana, Pierluigi 8 Cicalese, Marco 8 De Lellis, Camillo 8 Focardi, Matteo 8 Mardare, Cristinel 7 Bella, Peter 7 Hackl, Klaus 7 Hornung, Peter 7 Kochmann, Dennis M. 7 Lorent, Andrew 7 Palombaro, Mariapia 7 Rindler, Filip 7 Stainier, Laurent 6 Ciarlet, Philippe Gaston 6 Della Porta, Francesco 6 Dondl, Patrick Werner 6 Ginster, Janusz 6 Goldman, Michael 6 Knüpfer, Hans 6 Onninen, Jani 6 Orlando, Gianluca 6 Poliakovsky, Arkady 6 Ponsiglione, Marcello 6 Scardia, Lucia 6 Schmidt, Bernd 6 Schweizer, Ben 6 Solombrino, Francesco 6 Wirth, Benedikt 5 Agostiniani, Virginia 5 Alicandro, Roberto 5 Bartels, Sören 5 Braides, Andrea 5 Davoli, Elisa 5 de Lorenzis, Laura 5 De Philippis, Guido 5 Hencl, Stanislav 5 Ignat, Radu 5 Iwaniec, Tadeusz 5 James, Richard D. 5 Kauranen, Aapo 5 Kirchheim, Bernd 5 Kristensen, Jan 5 Lazzaroni, Giuliano 5 Leoni, Giovanni 5 Malin, Maria 5 Malý, Jan 5 Merlet, Benoît 5 Muratov, Cyrill B. 5 Osękowski, Adam 5 Raită, Bogdan 5 Reina, Celia 5 Schlömerkemper, Anja 5 Schultz, Rüdiger 5 Serfaty, Sylvia 5 Weinberg, Kerstin 5 Zillinger, Christian 4 Acharya, Amit 4 Babadjian, Jean-François 4 Benešová, Barbora 4 Bhattacharya, Kaushik 4 Dal Maso, Gianni 4 De Luca, Lucia 4 Diermeier, Johannes 4 Faraco, Daniel 4 Guo, Xu 4 Li, Hui 4 Martin, Robert J. 4 Martínez-Frutos, Jesús 4 Mora, Maria Giovanna 4 Novack, Michael R. 4 Oliva, Marcos 4 Pakzad, Mohammad Reza 4 Scala, Riccardo ...and 749 more Authors all top 5 Cited in 142 Serials 92 Archive for Rational Mechanics and Analysis 54 Computer Methods in Applied Mechanics and Engineering 48 Calculus of Variations and Partial Differential Equations 37 Journal of the Mechanics and Physics of Solids 32 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 26 SIAM Journal on Mathematical Analysis 24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 23 Journal of Nonlinear Science 20 Journal of Elasticity 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Journal of Functional Analysis 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Continuum Mechanics and Thermodynamics 9 Communications on Pure and Applied Mathematics 9 Mathematics and Mechanics of Solids 9 Advances in Calculus of Variations 8 Journal of Mathematical Analysis and Applications 8 Computational Mechanics 8 Journal of the European Mathematical Society (JEMS) 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Communications in Mathematical Physics 6 Bulletin of the American Mathematical Society. New Series 6 Discrete and Continuous Dynamical Systems. Series S 6 Analysis & PDE 5 Nonlinearity 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Differential Equations 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 International Journal of Engineering Science 4 International Journal for Numerical Methods in Engineering 4 Meccanica 4 Quarterly of Applied Mathematics 4 SIAM Journal on Control and Optimization 4 Applied Mathematical Modelling 4 SIAM Journal on Optimization 4 Journal of Convex Analysis 4 Annals of Mathematics. Second Series 3 Journal of Computational Physics 3 Journal of Statistical Physics 3 Mathematische Annalen 3 Chinese Annals of Mathematics. Series B 3 Revista Matemática Iberoamericana 3 NoDEA. Nonlinear Differential Equations and Applications 3 Proceedings of the Royal Society of London. 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Matematica e Applicazioni 2 Japan Journal of Industrial and Applied Mathematics 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 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 Computational Methods in Applied Mathematics 2 Communications on Pure and Applied Analysis 2 Analysis and Applications (Singapore) 2 Networks and Heterogeneous Media 2 Set-Valued and Variational Analysis 2 Mathematics and Mechanics of Complex Systems 2 SIAM/ASA Journal on Uncertainty Quantification 1 Acta Mechanica 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Geophysical and Astrophysical Fluid Dynamics 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 Journal of Computational and Applied Mathematics 1 Kybernetika 1 Mathematische Zeitschrift 1 SIAM Journal on Numerical Analysis ...and 42 more Serials all top 5 Cited in 43 Fields 484 Mechanics of deformable solids (74-XX) 262 Calculus of variations and optimal control; optimization (49-XX) 246 Partial differential equations (35-XX) 68 Statistical mechanics, structure of matter (82-XX) 58 Fluid mechanics (76-XX) 54 Real functions (26-XX) 49 Numerical analysis (65-XX) 42 Functional analysis (46-XX) 42 Differential geometry (53-XX) 24 Operations research, mathematical programming (90-XX) 16 Probability theory and stochastic processes (60-XX) 15 Functions of a complex variable (30-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Mechanics of particles and systems (70-XX) 11 Measure and integration (28-XX) 11 Optics, electromagnetic theory (78-XX) 10 Operator theory (47-XX) 10 Computer science (68-XX) 10 Systems theory; control (93-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Biology and other natural sciences (92-XX) 6 Statistics (62-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 4 Quantum theory (81-XX) 4 Geophysics (86-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Convex and discrete geometry (52-XX) 3 Classical thermodynamics, heat transfer (80-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) 2 Relativity and gravitational theory (83-XX) 1 Nonassociative rings and algebras (17-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) Citations by Year