Edit Profile (opens in new tab) Ciarlet, Philippe Gaston Co-Author Distance Author ID: ciarlet.philippe-g Published as: Ciarlet, Philippe G.; Ciarlet, P. G.; Ciarlet, Philippe; Ciarlet, P.-G.; Ciarlet, P. more...less Homepage: http://www6.cityu.edu.hk/ma/people/ciarlet/ciarlet.html External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 261 Publications since 1967, including 25 Books 18 Contributions as Editor · 2 Further Contributions Biographic References: 4 Publications Co-Authors: 65 Co-Authors with 208 Joint Publications 2,451 Co-Co-Authors all top 5 Co-Authors 71 single-authored 60 Mardare, Cristinel 26 Gratie, Liliana 11 Iosifescu, Oana 10 Ciarlet, Patrick jun. 10 Lions, Jacques-Louis 10 Lods, Véronique 10 Miara, Bernadette 9 Kesavan, Srinivasan 8 Mardare, Sorin 7 Amrouche, Chérif 7 Bernadou, Michel 7 Geymonat, Giuseppe 7 Raviart, Pierre-Arnaud 7 Varga, Richard Steven 5 Destuynder, Philippe 5 Malin, Maria 5 Schultz, Martin H. 4 Krasucki, Françoise 4 Le Dret, Hervé 4 Nečas, Jindřich 4 Piersanti, Paolo 4 Sanchez-Palencia, Évariste 4 Shen, Ming 3 Bourquin, Frédéric 3 Coutand, Daniel 3 Dinca, George 3 Hu, Jianwei 3 Sauter, Stefan 2 Babuška, Ivo 2 Busse, Stéphane 2 Glowinski, Roland 2 Gogu, Radu 2 Hou, Yifeng 2 Larsonneur, François 2 Laurent, Florian 2 Li, Tatsien 2 Matei, Pavel 2 Nzengwa, Robert 2 Paumier, Jean-Claude 2 Rabier, Patrick J. 2 Roquefort, Anne 2 Sabu, Nicholas 2 Serpilli, Michele 2 Vallee, Claude 2 Viaño, Juan Manuel 2 Wagschal, Claude 2 Zou, Jun 1 Bony, Jean-Michel 1 Brezinski, Claude 1 Bunoiu, Renata 1 Clough, Ray W. 1 Françoise, Krasucki 1 Gallagher, Richard Hugo 1 Hood, P. 1 Lax, Peter David 1 Maday, Yvon 1 Miyoshi, Tetsuhiko 1 Mumford, David Bryant 1 Natterer, Frank 1 Nguyen Minh Chuong 1 Oden, John Tinsley 1 Peterson, M. R. 1 Phong, Duong Hong 1 Ranjan, Akhil 1 Raoult, Annie 1 Rheinboldt, Werner C. 1 Roseau, Maurice 1 Shen, Xiaoqin 1 Simian, Corina 1 Thomas, Jean-Marie 1 Trabucho, Luis 1 Vanninathan, Muthusamy 1 Wellford, Landon Carter jun. 1 Whiteman, John Robert 1 Yor, Marc 1 Young, Brian W. 1 Zhang, Qiang 1 Zienkiewicz, Olgierd Cecil 1 Zlámal, Miloš A. all top 5 Serials 49 Comptes Rendus. Mathématique. Académie des Sciences, Paris 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 19 Comptes Rendus de l’Académie des Sciences. Série I 14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 9 Archive for Rational Mechanics and Analysis 9 Numerische Mathematik 9 Analysis and Applications (Singapore) 9 Handbook of Numerical Analysis 7 Chinese Annals of Mathematics. Series B 7 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 6 Computer Methods in Applied Mechanics and Engineering 6 Journal of Elasticity 5 Studies in Mathematics and its Applications 4 Mathematics and Mechanics of Solids 4 Classics in Applied Mathematics 3 Aequationes Mathematicae 3 Communications in Mathematical Analysis and Applications 3 Recherches en Mathématiques Appliquées 2 Journal of Computational and Applied Mathematics 2 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 2 Other Titles in Applied Mathematics 1 Communications on Pure and Applied Mathematics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Journal of Functional Analysis 1 The Journal of the Indian Mathematical Society. New Series 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Computational Mechanics 1 Asymptotic Analysis 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Journal of Nonlinear Science 1 Computational and Applied Mathematics 1 Analele Universității din Craiova. Seria Matematică Informatică 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 La Gaceta de la Real Sociedad Matemática Española 1 Acta Numerica 1 Journal de Mécanique 1 Lecture Notes in Mathematics 1 Lecture Notes in Physics 1 Lecture Notes in Computational Science and Engineering 1 Series in Applied Mathematics (Paris) 1 Series in Contemporary Applied Mathematics CAM 1 Discrete and Continuous Dynamical Systems. Series S 1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 Journal of Elliptic and Parabolic Equations 1 Cambridge Texts in Applied Mathematics 1 Séminaire de Mathématiques Supérieures all top 5 Fields 204 Mechanics of deformable solids (74-XX) 91 Partial differential equations (35-XX) 47 Differential geometry (53-XX) 46 Numerical analysis (65-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 19 Functional analysis (46-XX) 17 General and overarching topics; collections (00-XX) 14 Approximations and expansions (41-XX) 8 History and biography (01-XX) 7 Fluid mechanics (76-XX) 5 Operator theory (47-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operations research, mathematical programming (90-XX) 2 Real functions (26-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 240 Publications have been cited 12,961 times in 10,015 Documents Cited by ▼ Year ▼ The finite element method for elliptic problems. Zbl 0383.65058 Ciarlet, Philippe G. 3,652 1978 The finite element methods for elliptic problems. Repr., unabridged republ. of the orig. 1978. Zbl 0999.65129 Ciarlet, Philippe G. 1,042 2002 Mathematical elasticity. Volume I: Three-dimensional elasticity. Zbl 0648.73014 Ciarlet, Philippe G. 1,016 1988 Derivation of the von Kármán equations from three-dimensional elasticity. Zbl 0445.73043 Ciarlet, P. G. 809 1978 Basic error estimates for elliptic problems. Zbl 0875.65086 Ciarlet, P. G. 460 1991 Linear and nonlinear functional analysis with applications. With 401 problems and 52 figures. Zbl 1293.46001 Ciarlet, Philippe G. 344 2013 Mathematical elasticity. Vol. 2: Theory of plates. Zbl 0888.73001 Ciarlet, Philippe G. 333 1997 Mathematical elasticity. Vol. 3: Theory of shells. Zbl 0953.74004 Ciarlet, Philippe G. 276 2000 Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069 Ciarlet, P. G.; Raviart, P.-A. 255 1973 Finite element methods (Part 1). Zbl 0712.65091 230 1991 A justification of the two-dimensional linear plate model. Zbl 0415.73072 Ciarlet, P. G.; Destuynder, P. 220 1979 General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004 Ciarlet, P. G.; Raviart, P. A. 219 1972 Plates and junctions in elastic multi-structures. An asymptotic analysis. Zbl 0706.73046 Ciarlet, P. G. 154 1990 An introduction to differential geometry with applications to elasticity. Reprinted from the Journal of Elasticity 78–79, No. 1-3 (2005). Zbl 1100.53004 Ciarlet, Philippe G. 143 2005 A mixed finite element method for the biharmonic equation. Zbl 0337.65058 Ciarlet, P. G.; Raviart, P. A. 139 1974 Discrete maximum principle for finite-difference operators. Zbl 0198.14601 Ciarlet, P. G. 137 1970 Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079 Ciarlet, P. G.; Raviart, P.-A. 124 1972 Injectivity and self-contact in nonlinear elasticity. Zbl 0628.73043 Ciarlet, Philippe G.; Nečas, Jindřich 121 1987 Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem. Zbl 0155.20403 Ciarlet, P. G.; Schultz, M. H.; Varga, R. S. 118 1967 A justification of the von Kármán equations. Zbl 0443.73034 Ciarlet, Philippe G. 108 1980 Les equations de von Kármán. Zbl 0433.73019 Ciarlet, Philippe G.; Rabier, Patrick 105 1980 The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070 Ciarlet, P. G.; Raviart, P.-A. 101 1972 A justification of a nonlinear model in plate theory. Zbl 0405.73050 Ciarlet, Philippe G.; Destuynder, Phillipe 97 1979 Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations. Zbl 0887.73038 Ciarlet, Philippe G.; Lods, Véronique 78 1996 Introduction à l’analyse numérique matricielle et à l’optimisation. Zbl 0488.65001 Ciarlet, P. G. 74 1982 The finite element method for elliptic problems. 1st repr. (paperback). Zbl 0511.65078 Ciarlet, Philippe G. 73 1980 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006 Ciarlet, Philippe G.; Ciarlet, Patrick jun. 70 2005 Existence theorems for two-dimensional linear shell theories. Zbl 0808.73045 Bernadou, M.; Ciarlet, P. G.; Miara, B. 67 1994 Sur l’ellipticite du modèle linéaire de coques de W. T. Koiter. Zbl 0356.73066 Bernadou, M.; Ciarlet, P. G. 63 1976 An introduction to differential geometry with applications to elasticity. Zbl 1086.74001 Ciarlet, Philippe G. 59 2005 Sur les lois de comportement en élasticité non linéaire compressible. Zbl 0497.73017 Ciarlet, Philippe G.; Geymonat, Giuseppe 58 1982 Techniques of scientific computing (Part 2). Zbl 0884.65001 58 1997 Introduction to linear shell theory. Zbl 0912.73001 Ciarlet, Philippe G. 54 1998 Asymptotic analysis of linearly elastic shells. III: Justification of Koiter’s shell equations. Zbl 0887.73040 Ciarlet, Philippe G.; Lods, Véronique 52 1996 Junctions between three-dimensional and two-dimensional linear elastic structures. Zbl 0661.73013 Ciarlet, Philippe G.; Le Dret, Hervé; Nzengwa, Robert 52 1989 Numerical methods of high-order accuracy for nonlinear boundary value problems. V: Monotone operator theory. Zbl 0181.18603 Ciarlet, P. G.; Schultz, M. H.; Varga, R. S. 51 1969 Asymptotic analysis of linearly elastic shells. II: Justification of flexural shell equations. Zbl 0887.73039 Ciarlet, Philippe G.; Lods, Véronique; Miara, Bernadette 48 1996 A justification of the Marguerre-von Kármán equations. Zbl 0633.73069 Ciarlet, P. G.; Paumier, J.-C. 46 1986 Numerical methods of high-order accuracy for singular nonlinear boundary value problems. Zbl 0211.19103 Ciarlet, P. G.; Natterer, F.; Varga, R. S. 46 1970 Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory. Zbl 0489.73057 Ciarlet, P. G.; Kesavan, S. 46 1981 On the characterizations of matrix fields as linearized strain tensor fields. Zbl 1115.35131 Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 44 2006 On Korn’s inequality. Zbl 1200.49039 Ciarlet, Philippe G. 43 2010 Conforming and nonconforming finite element methods for solving the plate problem. Zbl 0285.65072 Ciarlet, P. G. 40 1974 Handbook of Numerical Analysis IX. Numerical methods for fluids (Part 3). Zbl 1020.00003 39 2003 Asymptotic analysis of linearly elastic shells: ‘Generalized membrane shells’. Zbl 0891.73044 Ciarlet, Philippe G.; Lods, Véronique 35 1996 Unilateral problems in nonlinear three-dimensional elasticity. Zbl 0557.73009 Ciarlet, Philippe G.; Nečas, Jindřich 34 1985 On the recovery of a surface with prescribed first and second fundamental forms. Zbl 1044.53004 Ciarlet, Philippe G.; Larsonneur, François 32 2002 Elasticité tridimensionnelle. Zbl 0572.73027 Ciarlet, P. G. 32 1986 Justification of the two-dimensional equations of a linearly elastic shallow shell. Zbl 0769.73050 Ciarlet, P. G.; Miara, B. 31 1992 Numerical methods of high-order accuracy for nonlinear boundary value problems. III: Eigenvalue problems, IV: Periodic boundary conditions. Zbl 0181.18303 Ciarlet, P. G.; Schultz, M. H.; Varga, R. S. 30 1968 On the ellipticity of linear membrane shell equations. Zbl 0870.73037 Ciarlet, P.-G.; Lods, V. 29 1996 Lectures on three-dimensional elasticity. Notes by S. Kesavan. Zbl 0542.73046 Ciarlet, P. G. 28 1983 Finite difference methods (Part 1). Solution of equations in \(R^ n\) (Part 1). Zbl 0689.65001 27 1990 Dual iterative techniques for solving a finite element approximation of the biharmonic equation. Zbl 0305.65068 Ciarlet, P. G.; Glowinski, R. 26 1975 Recovery of a manifold with boundary and its continuity as a function of its metric tensor. Zbl 1088.74014 Ciarlet, Philippe G.; Mardare, Cristinel 26 2004 On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027 Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 26 2015 Numerical analysis of the finite element method. Zbl 0363.65083 Ciarlet, Philippe G. 23 1976 Intrinsic methods in elasticity: a mathematical survey. Zbl 1156.74007 Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 23 2009 Existence theorems in intrinsic nonlinear elasticity. Zbl 1273.74101 Ciarlet, Philippe G.; Mardare, Cristinel 23 2010 Some results in the theory of nonnegative matrices. Zbl 0167.03101 Ciarlet, P. G. 22 1968 Multipoint Taylor formulas and applications to the finite element method. Zbl 0199.50104 Ciarlet, P. G.; Wagschal, C. 21 1971 Sur l’élément de Clough et Tocher. Zbl 0306.65070 Ciarlet, P. G. 21 1974 Continuity of a deformation in \(H^{1}\) as a function of its Cauchy-Green tensor in \(L^{1}\). Zbl 1084.53063 Ciarlet, P. G.; Mardare, C. 20 2004 Nonlinear Korn inequalities. Zbl 1337.35144 Ciarlet, Philippe G.; Mardare, Cristinel 19 2015 \(\Gamma\)-convergence and asymptotic analysis of thin plates. (\(\Gamma\)-convergence et analyse asymptotique des plaques minces.) Zbl 0769.73043 Bourquin, Frédéric; Ciarlet, Philippe G.; Geymonat, Giuseppe; Raoult, Annie 19 1992 Continuity of a deformation as a function of its Cauchy-Green tensor. Zbl 1030.74003 Ciarlet, Philippe G.; Laurent, Florian 18 2003 Solution of equations in \(\mathbb{R}^n\) (Part 3). Techniques of scientific computing (Part 3). Zbl 0953.00016 18 2000 An existence and uniqueness theorem for the two-dimensional linear membrane shell equations. Zbl 0856.73038 Ciarlet, P. G.; Sanchez-Palencia, E. 18 1996 Lectures on the finite element method. Notes by S. Kesavan, Akhil Ranjan, M. Vanninathan. Zbl 0353.73067 Ciarlet, Philippe G. 18 1975 Interpolation error estimates for the reduced Hsieh-Clough-Tocher triangle. Zbl 0378.65010 Ciarlet, Philippe G. 18 1978 On rigid and infinitesimal rigid displacements in shell theory. Zbl 1050.74030 Ciarlet, Philippe G.; Mardare, Cristinel 17 2004 Justification of a two-dimensional nonlinear shell model of Koiter’s type. Zbl 0980.35159 Ciarlet, P. G.; Roquefort, A. 17 2001 Intrinsic formulation of the displacement-traction problem in linearized elasticity. Zbl 1291.74076 Ciarlet, Philippe G.; Mardare, Cristinel 17 2014 An obstacle problem for elliptic membrane shells. Zbl 1440.74205 Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo 17 2019 Introduction to numerical linear algebra and optimization. With the assistance of Bernadette Miara and Jean-Marie Thomas for the exercises. Transl. by A. Buttigieg. Zbl 0672.65001 Ciarlet, Philippe G. 17 1988 The continuity of a surface as a function of its two fundamental forms. Zbl 1042.53003 Ciarlet, Philippe G. 16 2003 On questions of existence in shell theory. Zbl 0436.73081 Ciarlet, P. G. 16 1976 A new duality approach to elasticity. Zbl 1242.49072 Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 16 2012 A confinement problem for a linearly elastic membrane shell of elliptic type. (Un problème de confinement pour une coque membranaire linéairement élastique de type elliptique.) Zbl 1402.74067 Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo 16 2018 On Korn’s inequalities in curvilinear coordinates. Zbl 1036.74036 Ciarlet, Philippe G.; Mardare, Sorin 15 2001 Modélisation de la jonction entre un corps élastique tridimensionnel et une plaque. (Modeling of the junction between a three-dimensional elastic body and a plate). Zbl 0632.73015 Ciarlet, Philippe G.; Le Dret, Hervé; Nzengwa, Robert 15 1987 Recovery of a surface with boundary and its continuity as a function of its two fundamental forms. Zbl 1083.53007 Ciarlet, Philippe G.; Mardare, Christinel 15 2005 Recent progress in the two-dimensional approximation of three-dimensional plate models in nonlinear elasticity. Zbl 0612.73060 Ciarlet, Philippe G. 15 1987 An obstacle problem for Koiter’s shells. Zbl 07273353 Ciarlet, Philippe G.; Piersanti, Paolo 15 2019 A nonlinear Korn inequality on a surface. Zbl 1094.53001 Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 14 2006 Modeling and justification of eigenvalue problems for junctions between elastic structures. Zbl 0699.73010 Bourquin, F.; Ciarlet, P. G. 14 1989 A confinement problem for a linearly elastic Koiter’s shell. (Un problème de confinement pour une coque de Koiter linéairement élastique.) Zbl 1409.74029 Ciarlet, Philippe G.; Piersanti, Paolo 14 2019 The finite element method for elliptic problems. (Metod konechnykh ehlementov dlya ehllipticheskikh zadach). Transl. from the English by B. I. Kvasov. Zbl 0547.65072 Ciarlet, Philippe G. 13 1980 On rigid and infinitesimal rigid displacements in three-dimensional elasticity. Zbl 1055.74006 Ciarlet, Philippe G.; Mardare, Cristinel 13 2003 Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035 Ciarlet, Philippe G.; Ciarlet, Patrick jun. 13 2009 Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044 Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki 13 2007 Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1286.49053 Ciarlet, Philippe G.; Mardare, Sorin 13 2013 On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005 Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 12 2006 Discrete variational Green’s function. Zbl 0245.34012 Ciarlet, P. G.; Varga, R. S. 12 1970 An existence theorem for nonlinearly elastic ‘flexural’ shells. Zbl 0929.74067 Ciarlet, Philippe G.; Coutand, Daniel 12 1998 From the classical to the generalized von Kármán and Marguerre–von Kármán equations. Zbl 1085.74031 Ciarlet, Philippe G.; Gratie, Liliana 12 2006 An \(O(h^ 2)\) method for a non-smooth boundary value problem. Zbl 0159.11703 Ciarlet, P. G. 11 1968 Another approach to linearized elasticity and Korn’s inequality. Zbl 1063.74009 Ciarlet, Philippe G.; Ciarlet, Patrick jun. 11 2004 Justification of a linear two-dimensional ‘shallow’ shell model in curvilinear coordinates. (Justification d’un modèle linéaire bi-dimensionnel de coques “faiblement courbées” en coordonnées curvilignes.) Zbl 0876.73044 Busse, Stéphane; Ciarlet, Philippe G.; Miara, Bernadette 10 1997 Numerical methods of high-order accuracy for nonlinear boundary value problems. II: Nonlinear boundary conditions. Zbl 0176.14901 Ciarlet, P. G.; Schultz, M. H.; Varga, R. S. 10 1968 Mathematical elasticity. Volume I. Three-dimensional elasticity. Reprint of the 1998 edition. Zbl 1482.74034 Ciarlet, Philippe G. 8 2022 Mathematical elasticity. Volume III. Theory of shells. Zbl 1482.74002 Ciarlet, Philippe G. 4 2022 Intrinsic formulation of the Kirchhoff-Love theory of nonlinearly elastic shallow shells. Zbl 1538.74099 Ciarlet, Philippe G.; Mardare, Cristinel 1 2022 Mathematical elasticity. Volume II. Theory of plates. Reprint of the 1997 edition. Zbl 1482.74001 Ciarlet, Philippe G. 1 2022 Locally convex spaces and harmonic analysis. An introduction with 93 problems. Zbl 1482.46001 Ciarlet, Philippe G. 1 2021 Continuity in Fréchet topologies of a surface as a function of its fundamental forms. Zbl 1447.53011 Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel 4 2020 An obstacle problem for elliptic membrane shells. Zbl 1440.74205 Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo 17 2019 An obstacle problem for Koiter’s shells. Zbl 07273353 Ciarlet, Philippe G.; Piersanti, Paolo 15 2019 A confinement problem for a linearly elastic Koiter’s shell. (Un problème de confinement pour une coque de Koiter linéairement élastique.) Zbl 1409.74029 Ciarlet, Philippe G.; Piersanti, Paolo 14 2019 A surface in \(W^{2,p}\) is a locally Lipschitz-continuous function of its fundamental forms in \(W^{1,p}\) and \(L^p\), \(p>2\). (Une surface dans \(W^{2,p}\) est une fonction localement Lipschitz-continue de ses formes fondamentales dans \(W^{1,p}\) and \(L^p\), \(p>2\).) Zbl 1411.53008 Ciarlet, Philippe G.; Mardare, Cristinel 5 2019 New estimates of the distance between two surfaces in terms of the distance between their fundamental forms. Zbl 1475.53014 Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel 4 2019 Asymptotic justification of the intrinsic equations of Koiter’s model of a linearly elastic shell. (Justification asymptotique des équations intrinsèques du modèle de coques linéairement élastiques de Koiter.) Zbl 1405.74024 Ciarlet, Philippe G.; Mardare, Cristinel 2 2019 The intrinsic theory of linearly elastic plates. Zbl 1442.74114 Ciarlet, Philippe G.; Mardare, Cristinel 2 2019 A confinement problem for a linearly elastic membrane shell of elliptic type. (Un problème de confinement pour une coque membranaire linéairement élastique de type elliptique.) Zbl 1402.74067 Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo 16 2018 On a vector version of a fundamental lemma of J. L. Lions. Zbl 1398.46028 Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel 9 2018 A nonlinear shell model of Koiter’s type. (Un modèle non linéaire de coques de type Koiter.) Zbl 1387.74075 Ciarlet, Philippe G.; Mardare, Cristinel 8 2018 An intrinsic formulation of the Kirchhoff-love theory of linearly elastic plates. Zbl 1394.53004 Ciarlet, Philippe G.; Mardare, Cristinel 8 2018 An existence theorem for a two-dimensional nonlinear shell model of Koiter’s type. Zbl 1411.74017 Ciarlet, Philippe G.; Mardare, Cristinel 4 2018 Intrinsic formulation of the displacement-traction problem in linear shell theory. (Formulation intrinsèque du problème en déplacement-traction en théorie linéaire des coques.) Zbl 1404.74095 Ciarlet, Philippe G.; Mardare, Cristinel 3 2018 \(W^{2,p}\)-estimates for surfaces in terms of their two fundamental forms. (Estimations dans \(W^{2,p}\) pour des surfaces à partir de leurs deux formes fondamentales.) Zbl 1390.53007 Ciarlet, Philippe G.; Mardare, Cristinel 2 2018 New nonlinear estimates for surfaces in terms of their fundamental forms. (Nouvelles estimations pour des surfaces en fonction de leurs formes fondamentales.) Zbl 1361.53004 Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel 9 2017 Recovery of immersions from their metric tensors and nonlinear Korn inequalities: a brief survey. Zbl 1362.53051 Ciarlet, Philippe G.; Mardare, Cristinel; Mardare, Sorin 3 2017 Nonlinear Donati compatibility conditions on a surface-application to the intrinsic approach for Koiter’s model of a nonlinearly elastic shallow shell. Zbl 1358.74030 Ciarlet, Philippe G.; Iosifescu, Oana 2 2017 An intrinsic approach to a nonlinear model in shell theory. (Une approche intrinsèque d’un modèle non linéaire de la théorie des coques.) Zbl 1356.74128 Ciarlet, Philippe G.; Iosifescu, Oana 1 2017 Nonlinear Korn inequalities in \(\mathbb R^n\) and immersions in \(W^{2,p}\), \(p>n\), considered as functions of their metric tensors in \(W^{1,p}\). Zbl 1337.53009 Ciarlet, Philippe G.; Mardare, Sorin 10 2016 Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Zbl 1335.65091 Ciarlet, P. G.; Ciarlet, P. jun.; Sauter, S. A.; Simian, C. 9 2016 On Korn’s inequalities on a surface. Zbl 1356.46025 Ciarlet, Philippe G.; Hou, Yifeng; Mardare, Cristinel 5 2016 A mathematical model of Koiter’s type for a nonlinearly elastic “almost spherical” shell. (Un modèle mathématique du type de Koiter pour une coque non linéairement élastique “presque sphérique”.) Zbl 1349.74250 Ciarlet, Philippe G.; Mardare, Cristinel 4 2016 On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027 Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 26 2015 Nonlinear Korn inequalities. Zbl 1337.35144 Ciarlet, Philippe G.; Mardare, Cristinel 19 2015 Existence theorem for a nonlinear elliptic shell model. Zbl 1386.74022 Bunoiu, Renata; Ciarlet, Philippe G.; Mardare, Cristinel 8 2015 Donati compatibility conditions for membrane and flexural shells. Zbl 1344.49056 Ciarlet, Philippe G.; Mardare, Cristinel; Shen, Xiaoqin 6 2015 Nonlinear donati compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1305.74054 Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 5 2015 Nonlinear Korn inequalities in \(\mathbb R^n\), with or without boundary conditions. (Inégalités de Korn non linéaires dans \(\mathbb R^n\), avec ou sans conditions aux limites.) Zbl 1320.35011 Ciarlet, Philippe G.; Mardare, Cristinel 4 2015 A nonlinear Korn inequality in \(W^{2,p}\), \(p>n\). (Une inégalité de Korn non linéaire dans \(W^{2,p}\), \(p>n\).) Zbl 1329.35018 Ciarlet, Philippe G.; Mardare, Sorin 2 2015 Intrinsic formulation of the displacement-traction problem in linearized elasticity. Zbl 1291.74076 Ciarlet, Philippe G.; Mardare, Cristinel 17 2014 Boundary conditions in intrinsic nonlinear elasticity. Zbl 1457.74027 Ciarlet, Philippe G.; Mardare, Cristinel 6 2014 Donati compatibility conditions on a surface – application to shell theory. Zbl 1425.74289 Ciarlet, Philippe G.; Iosifescu, Oana 4 2014 Remarks on a lemma by Jacques-Louis Lions. (Ramarques sur un lemme de Jacques-Louis Lions.) Zbl 1304.35025 Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 3 2014 Linear and nonlinear functional analysis with applications. With 401 problems and 52 figures. Zbl 1293.46001 Ciarlet, Philippe G. 344 2013 Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1286.49053 Ciarlet, Philippe G.; Mardare, Sorin 13 2013 Orientation-preserving condition and polyconvexity on a surface: application to nonlinear shell theory. Zbl 1288.74049 Ciarlet, Philippe; Gogu, Radu; Mardare, Cristinel 9 2013 Nonlinear Donati compatibility conditions for the nonlinear Kirchhoff-von Kármán-Love plate theory. (Conditions de compatibilité non linéaires de Donati pour la théorie non linéaire des plaques de Kirchhoff-von Kármán-Love.) Zbl 1335.74036 Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 5 2013 The space \(\mathbf H(\mathop{div},\cdot)\) on a surface – application to Donati-like compatibility conditions on a surface. (L’espace \(\mathbf H(\mathop{div},\cdot)\) sur une surface – application à des conditions de compatibilité du type de Donati sur une surface.) Zbl 1293.46019 Ciarlet, Philippe G.; Iosifescu, Oana 2 2013 Fréchet differentiability of the norm in a Sobolev space with a variable exponent. Zbl 1285.46009 Ciarlet, Philippe G.; Dinca, George; Matei, Pavel 2 2013 Green’s formulas with little regularity on a surface – application to Donati-like compatibility conditions on a surface. (Formules de Green avec peu de régularité sur une surface – application à des conditions de compatibilité du type de Donati sur une surface.) Zbl 1335.53016 Ciarlet, Philippe G.; Iosifescu, Oana 2 2013 Expression of Dirichlet boundary conditions in terms of the strain tensor in linearized elasticity. Zbl 1335.74012 Ciarlet, Philippe; Mardare, Cristinel 2 2013 Operator equations and duality mappings in Sobolev spaces with variable exponents. Zbl 1287.46028 Ciarlet, Philippe G.; Dinca, George; Matei, Pavel 1 2013 Expression of Dirichlet boundary conditions in terms of the Cauchy-Green tensor field. Zbl 1465.74024 Ciarlet, Philippe G.; Mardare, Cristinel 1 2013 A new duality approach to elasticity. Zbl 1242.49072 Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 16 2012 On the Newton-Kantorovich theorem. Zbl 1308.65079 Ciarlet, Philippe G.; Mardare, Cristinel 10 2012 An intrinsic approach and a notion of polyconvexity for nonlinearly elastic plates. Zbl 1337.74031 Ciarlet, Philippe G.; Mardare, Sorin 4 2012 Korn’s inequalities: the linear vs. the nonlinear case. Zbl 1242.74009 Ciarlet, Philippe G. 4 2012 A Poincaré inequality in a Sobolev space with a variable exponent. Zbl 1305.46026 Ciarlet, Philippe G.; Dinca, George 8 2011 Legendre-Fenchel duality in elasticity. Zbl 1331.74027 Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 7 2011 A notion of polyconvex function on a surface suggested by nonlinear shell theory. Zbl 1385.74010 Ciarlet, Philippe G.; Gogu, Radu; Mardare, Cristinel 4 2011 Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030 Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun 3 2011 Nonlinear Saint-Venant compatibility conditions for nonlinearly elastic plates. Zbl 1378.74042 Ciarlet, Philippe G.; Mardare, Sorin 2 2011 On Korn’s inequality. Zbl 1200.49039 Ciarlet, Philippe G. 43 2010 Existence theorems in intrinsic nonlinear elasticity. Zbl 1273.74101 Ciarlet, Philippe G.; Mardare, Cristinel 23 2010 Weak vector and scalar potentials: applications to Poincaré’s theorem and Korn’s inequality in Sobolev spaces with negative exponents. Zbl 1190.49004 Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 8 2010 A Cesàro-Volterra formula with little regularity. Zbl 1182.35213 Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 4 2010 Intrinsic methods in elasticity: a mathematical survey. Zbl 1156.74007 Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 23 2009 Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035 Ciarlet, Philippe G.; Ciarlet, Patrick jun. 13 2009 Cesàro-Volterra path integral formula on a surface. Zbl 1173.53004 Ciarlet, Philippe G.; Gratie, Liliana; Serpilli, Michele 6 2009 A generalization of the classical Cesàro-Volterra path integral formula. Zbl 1177.35051 Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 4 2009 The pure displacement problem in nonlinear three-dimensional elasticity: Intrinsic formulation and existence theorems. Zbl 1163.74006 Ciarlet, Philippe G.; Mardare, Cristinel 3 2009 A new approach to the fundamental theorem of surface theory, by means of the Darboux-Vallée-Fortuné compatibility relation. Zbl 1170.53002 Ciarlet, Philippe G.; Iosifescu, Oana 2 2009 Saint Venant compatibility equations on a surface application to intrinsic shell theory. Zbl 1172.53002 Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel; Shen, Ming 9 2008 A new approach to the fundamental theorem of surface theory. Zbl 1142.53007 Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 6 2008 A new approach for approximating linear elasticity problems. Zbl 1134.74049 Ciarlet, Philippe G.; Ciarlet jun., Patrick 2 2008 Justification of the Darboux-Vallée-Fortuné compatibility relation in the theory of surfaces. Zbl 1153.53005 Ciarlet, Philippe G.; Iosifescu, Oana 2 2008 Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044 Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki 13 2007 Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007 Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 9 2007 Another approach to the fundamental theorem of Riemannian geometry in \(\mathbb R^{3}\), by way of rotation fields. Zbl 1114.53033 Ciarlet, Philippe G.; Gratie, Liliana; Iosifescu, Oana; Mardare, Cristinel; Vallée, Claude 8 2007 Advances in deterministic and stochastic analysis. Proceedings of the 2nd international conference on abstract and applied analysis, Quy Nhon, Vietnam, June 4–9. 2005. Zbl 1115.35008 7 2007 Saint Venant compatibility equations in curvilinear coordinates. Zbl 1116.49023 Ciarlet, Philippe G.; Mardare, Cristinel; Shen, Ming 4 2007 On the generalized von Kármán equations and their approximation. Zbl 1121.65118 Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 4 2007 Recovery of a displacement field from its linearized strain tensor field in curvilinear coordinates. Zbl 1112.74005 Ciarlet, Philippe G.; Mardare, Cristinel; Shen, Ming 1 2007 Recovery of a displacement field on a surface from its linearized change of metric and change of curvature tensors. Zbl 1112.74004 Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel; Shen, Ming 1 2007 New compatibility conditions for the fundamental theorem of surface theory. Zbl 1129.53003 Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 1 2007 On the characterizations of matrix fields as linearized strain tensor fields. Zbl 1115.35131 Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 44 2006 A nonlinear Korn inequality on a surface. Zbl 1094.53001 Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 14 2006 On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005 Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 12 2006 From the classical to the generalized von Kármán and Marguerre–von Kármán equations. Zbl 1085.74031 Ciarlet, Philippe G.; Gratie, Liliana 12 2006 On the existence of solutions to the generalized Marguerre-von Kármán equations. Zbl 1092.74025 Ciarlet, Philippe G.; Gratie, Liliana 8 2006 New formulations of linearized elasticity problems, based on extensions of Donati’s theorem. Zbl 1090.74007 Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 3 2006 Rotation fields and the fundamental theorem of Riemannian geometry in \(\mathbb R^3\). Zbl 1107.53011 Ciarlet, Philippe G.; Gratie, Liliana; Iosifescu, Oana; Mardare, Cristinel; Vallée, Claude 3 2006 An introduction to differential geometry with applications to elasticity. Reprinted from the Journal of Elasticity 78–79, No. 1-3 (2005). Zbl 1100.53004 Ciarlet, Philippe G. 143 2005 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006 Ciarlet, Philippe G.; Ciarlet, Patrick jun. 70 2005 An introduction to differential geometry with applications to elasticity. Zbl 1086.74001 Ciarlet, Philippe G. 59 2005 Recovery of a surface with boundary and its continuity as a function of its two fundamental forms. Zbl 1083.53007 Ciarlet, Philippe G.; Mardare, Christinel 15 2005 A new approach to linear shell theory. Zbl 1135.74027 Ciarlet, Philippe G.; Gratie, Liliana 7 2005 Another approach to linear shell theory and a new proof of Korn’s inequality on a surface. Zbl 1329.74176 Ciarlet, Philippe G.; Gratie, Liliana 5 2005 Numerical analysis of the generalized von Kármán equations. Zbl 1081.74041 Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 3 2005 Continuity in \(H^1\)-norms of surfaces in terms of the \(L^1\)-norms of their fundamental forms. Zbl 1073.74009 Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 1 2005 Recovery of a manifold with boundary and its continuity as a function of its metric tensor. Zbl 1088.74014 Ciarlet, Philippe G.; Mardare, Cristinel 26 2004 Continuity of a deformation in \(H^{1}\) as a function of its Cauchy-Green tensor in \(L^{1}\). Zbl 1084.53063 Ciarlet, P. G.; Mardare, C. 20 2004 On rigid and infinitesimal rigid displacements in shell theory. Zbl 1050.74030 Ciarlet, Philippe G.; Mardare, Cristinel 17 2004 Another approach to linearized elasticity and Korn’s inequality. Zbl 1063.74009 Ciarlet, Philippe G.; Ciarlet, Patrick jun. 11 2004 ...and 140 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,893 Authors 140 Ciarlet, Philippe Gaston 79 Fernández, Jose Ramon 71 Mardare, Cristinel 70 Brenner, Susanne Cecelia 68 He, Yinnian 67 Gatica, Gabriel N. 63 Shi, Dongyang 56 Han, Weimin 54 Carstensen, Carsten 52 Sung, Li-Yeng 51 Nicaise, Serge 47 Neff, Patrizio 46 Li, Jian 45 Yang, Yidu 41 Luo, Zhendong 40 Chen, Shaochun 40 Gunzburger, Max Donald 40 Korotov, Sergey 40 Li, Zi-Cai 40 Zhang, Zhimin 39 Chen, Zhangxin 39 Shi, Zhongci 38 Nochetto, Ricardo Horacio 38 Xie, Hehu 37 Girault, Vivette 37 Quintanilla de Latorre, Ramón 36 Huang, Jianguo 36 Mao, Shipeng 36 Rui, Hongxing 36 Shu, Chi-Wang 34 Duan, Huoyuan 34 Křížek, Michal 34 Nazarov, Sergeĭ Aleksandrovich 33 Baccouch, Mahboub 33 Nataraj, Neela 32 Bi, Hai 32 Zhang, Shangyou 31 Beirão da Veiga, Lourenço 31 Hu, Jun 31 John, Volker 31 Otárola, Enrique 30 Abdulle, Assyr 30 Brezzi, Franco 30 Xu, Jinchao 30 Zhang, Jin 29 Babuška, Ivo 29 Bazarra, Noelia 29 Feng, Xinlong 29 Neilan, Michael 29 Zhang, Tong 28 Salgado, Abner J. 28 Zhou, Aihui 27 Kružík, Martin 27 Rumpf, Martin 27 Xu, Fei 27 Xu, Xuejun 27 Yan, Ningning 27 Yang, Danping 26 Ciarlet, Patrick jun. 26 Gratie, Liliana 26 Griso, Georges 26 Gudi, Thirupathi 26 Huang, Xuehai 26 Tambača, Josip 26 Zhao, Jikun 25 Chen, Yanping 25 Hughes, Thomas J. R. 25 Li, Hong 25 Onninen, Jani 25 Quarteroni, Alfio M. 24 Knobloch, Petr 24 Manzini, Gianmarco 24 Novo, Julia 24 Oden, John Tinsley 24 Zhang, Jiansong 23 Feng, Xiaobing 23 Liu, Steve Wenbin 23 Liu, Xiaowei 23 Marini, Luisa Donatella 23 Viaño, Juan Manuel 22 Gaudiello, Antonio 22 Glowinski, Roland 22 Huang, Yunqing 22 Park, Eun-Jae 22 Ruiz-Baier, Ricardo 22 Sun, Tongjun 22 Wang, Junping 21 Cheng, Xiaoliang 21 Feistauer, Miloslav 21 Hlaváček, Ivan 21 Li, Hengguang 21 Ming, Pingbing 21 Mohan, Manil Thankamani 21 Mora, David 21 Porwal, Kamana 21 Renard, Yves 21 Sinha, Rajen Kumar 21 Yotov, Ivan 20 Bernadou, Michel 20 Herbin, Raphaèle ...and 8,793 more Authors all top 5 Cited in 557 Serials 816 Computer Methods in Applied Mechanics and Engineering 532 Journal of Computational and Applied Mathematics 466 Numerische Mathematik 395 Computers & Mathematics with Applications 337 Journal of Scientific Computing 335 Mathematics of Computation 298 Applied Numerical Mathematics 270 Applied Mathematics and Computation 224 Journal of Computational Physics 194 Numerical Methods for Partial Differential Equations 180 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 166 SIAM Journal on Numerical Analysis 158 Journal of Elasticity 155 Comptes Rendus. 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Series B (English Edition) 18 Boundary Value Problems 18 Evolution Equations and Control Theory 17 Abstract and Applied Analysis 16 International Journal for Numerical Methods in Fluids 16 Journal of Engineering Mathematics 16 Journal of Functional Analysis ...and 457 more Serials all top 5 Cited in 58 Fields 6,460 Numerical analysis (65-XX) 4,450 Partial differential equations (35-XX) 3,227 Mechanics of deformable solids (74-XX) 1,720 Fluid mechanics (76-XX) 1,004 Calculus of variations and optimal control; optimization (49-XX) 337 Optics, electromagnetic theory (78-XX) 285 Approximations and expansions (41-XX) 224 Biology and other natural sciences (92-XX) 203 Ordinary differential equations (34-XX) 203 Operator theory (47-XX) 157 Differential geometry (53-XX) 157 Statistical mechanics, structure of matter (82-XX) 155 Classical thermodynamics, heat transfer (80-XX) 151 Functional analysis (46-XX) 131 Operations research, mathematical programming (90-XX) 125 Computer science (68-XX) 120 Probability theory and stochastic processes (60-XX) 117 Integral equations (45-XX) 115 Global analysis, analysis on manifolds (58-XX) 104 Systems theory; control (93-XX) 101 Potential theory (31-XX) 91 Real functions (26-XX) 71 Geophysics (86-XX) 70 Dynamical systems and ergodic theory (37-XX) 55 Linear and multilinear algebra; matrix theory (15-XX) 51 Statistics (62-XX) 50 Mechanics of particles and systems (70-XX) 48 Functions of a complex variable (30-XX) 41 Quantum theory (81-XX) 40 Information and communication theory, circuits (94-XX) 38 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 23 Special functions (33-XX) 18 Measure and integration (28-XX) 17 Convex and discrete geometry (52-XX) 11 General and overarching topics; collections (00-XX) 11 Combinatorics (05-XX) 11 Relativity and gravitational theory (83-XX) 10 Difference and functional equations (39-XX) 8 Algebraic geometry (14-XX) 8 Manifolds and cell complexes (57-XX) 8 Astronomy and astrophysics (85-XX) 7 History and biography (01-XX) 7 Topological groups, Lie groups (22-XX) 5 Integral transforms, operational calculus (44-XX) 5 Geometry (51-XX) 4 General topology (54-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 3 Algebraic topology (55-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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