Edit Profile Ciarlet, Philippe Gaston Compute Distance To: Compute Author ID: ciarlet.philippe-g Published as: Ciarlet, Philippe G.; Ciarlet, P. G.; Ciarlet, Philippe; Ciarlet, P.-G.; Ciarlet, P.; Ciarlet Homepage: http://www6.cityu.edu.hk/ma/people/ciarlet/ciarlet.html External Links: IdRef · MGP · theses.fr · Wikidata · ORCID · dblp · GND Documents Indexed: 271 Publications since 1967, including 39 Books Biographic References: 4 Publications all top 5 Co-Authors 70 single-authored 57 Mardare, Cristinel 26 Gratie, Liliana 11 Iosifescu, Oana 10 Ciarlet, Patrick jun. 10 Lods, Véronique 9 Lions, Jacques-Louis 9 Miara, Bernadette 8 Mardare, Sorin 7 Amrouche, Chérif 7 Bernadou, Michel 7 Geymonat, Giuseppe 7 Kesavan, Srinivasan 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 A. 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 Babuška, Ivo 1 Bony, Jean-Michel 1 Bunoiu, Renata 1 Françoise, Krasucki 1 Lax, Peter David 1 Maday, Yvon 1 Miyoshi, Tetsuhiko 1 Mumford, David Bryant 1 Natterer, Frank 1 Nguyen Minh Chuong 1 Phong, Duong Hong 1 Raoult, Annie 1 Roseau, Maurice 1 Shen, Xiaoqin 1 Simian, Corina 1 Trabucho, Luis 1 Yor, Marc 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 4 Mathematics and Mechanics of Solids 3 Aequationes Mathematicae 2 Journal of Computational and Applied Mathematics 2 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 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 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 Universităţii din Craiova. Seria Matematică Informatică 1 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. 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 Classics in Applied Mathematics 1 Lecture Notes in Mathematics 1 Lecture Notes in Physics 1 Lecture Notes in Computational Science and Engineering 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 Other Titles in Applied Mathematics 1 Cambridge Texts in Applied Mathematics all top 5 Fields 197 Mechanics of deformable solids (74-XX) 88 Partial differential equations (35-XX) 45 Differential geometry (53-XX) 44 Numerical analysis (65-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 18 Functional analysis (46-XX) 16 General and overarching topics; collections (00-XX) 14 Approximations and expansions (41-XX) 6 History and biography (01-XX) 6 Fluid mechanics (76-XX) 5 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 229 Publications have been cited 8,655 times in 6,522 Documents Cited by ▼ Year ▼ The finite element method for elliptic problems. Zbl 0383.65058Ciarlet, Philippe G. 2,370 1978 Derivation of the von Kármán equations from three-dimensional elasticity. Zbl 0445.73043Ciarlet, P. G. 810 1978 Mathematical elasticity. Volume I: Three-dimensional elasticity. Zbl 0648.73014Ciarlet, Philippe G. 589 1988 Basic error estimates for elliptic problems. Zbl 0875.65086Ciarlet, P. G. 325 1991 The finite element methods for elliptic problems. Repr., unabridged republ. of the orig. 1978. Zbl 0999.65129Ciarlet, Philippe G. 319 2002 Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069Ciarlet, P. G.; Raviart, P.-A. 205 1973 General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004Ciarlet, P. G.; Raviart, P. A. 196 1972 A justification of the two-dimensional linear plate model. Zbl 0415.73072Ciarlet, P. G.; Destuynder, P. 184 1979 Mathematical elasticity. Vol. 2: Theory of plates. Zbl 0888.73001Ciarlet, Philippe G. 160 1997 Plates and junctions in elastic multi-structures. An asymptotic analysis. Zbl 0706.73046Ciarlet, P. G. 123 1990 Discrete maximum principle for finite-difference operators. Zbl 0198.14601Ciarlet, P. G. 117 1970 Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem. Zbl 0155.20403Ciarlet, P. G.; Schultz, M. H.; Varga, R. S. 111 1967 Mathematical elasticity. Vol. 3: Theory of shells. Zbl 0953.74004Ciarlet, Philippe G. 108 2000 Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079Ciarlet, P. G.; Raviart, P.-A. 105 1972 Linear and nonlinear functional analysis with applications. With 401 problems and 52 figures. Zbl 1293.46001Ciarlet, Philippe G. 102 2013 Finite element methods (Part 1). Zbl 0712.65091Ciarlet, P. G. (ed.); Lions, J. L. (ed.) 87 1991 A justification of a nonlinear model in plate theory. Zbl 0405.73050Ciarlet, Philippe G.; Destuynder, Phillipe 86 1979 An introduction to differential geometry with applications to elasticity. Reprinted from the Journal of Elasticity 78–79, No. 1-3 (2005). Zbl 1100.53004Ciarlet, Philippe G. 85 2005 The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070Ciarlet, P. G.; Raviart, P.-A. 83 1972 A mixed finite element method for the biharmonic equation. Zbl 0337.65058Ciarlet, P. G.; Raviart, P. A. 82 1974 A justification of the von Kármán equations. Zbl 0443.73034Ciarlet, Philippe G. 81 1980 Injectivity and self-contact in nonlinear elasticity. Zbl 0628.73043Ciarlet, Philippe G.; Nečas, Jindřich 80 1987 Les equations de von Kármán. Zbl 0433.73019Ciarlet, Philippe G.; Rabier, Patrick 80 1980 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun. 64 2005 Existence theorems for two-dimensional linear shell theories. Zbl 0808.73045Bernadou, M.; Ciarlet, P. G.; Miara, B. 64 1994 Introduction à l’analyse numérique matricielle et à l’optimisation. Zbl 0488.65001Ciarlet, P. G. 62 1982 Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations. Zbl 0887.73038Ciarlet, Philippe G.; Lods, Véronique 61 1996 The finite element method for elliptic problems. 1st repr. (paperback). Zbl 0511.65078Ciarlet, Philippe G. 53 1980 Numerical methods of high-order accuracy for nonlinear boundary value problems. V: Monotone operator theory. Zbl 0181.18603Ciarlet, P. G.; Schultz, M. H.; Varga, R. S. 50 1969 Sur l’ellipticite du modèle linéaire de coques de W. T. Koiter. Zbl 0356.73066Bernadou, M.; Ciarlet, P. G. 50 1976 Sur les lois de comportement en élasticité non linéaire compressible. Zbl 0497.73017Ciarlet, Philippe G.; Geymonat, Giuseppe 49 1982 Junctions between three-dimensional and two-dimensional linear elastic structures. Zbl 0661.73013Ciarlet, Philippe G.; Le Dret, Hervé; Nzengwa, Robert 44 1989 Numerical methods of high-order accuracy for singular nonlinear boundary value problems. Zbl 0211.19103Ciarlet, P. G.; Natterer, F.; Varga, R. S. 44 1970 Asymptotic analysis of linearly elastic shells. III: Justification of Koiter’s shell equations. Zbl 0887.73040Ciarlet, Philippe G.; Lods, Véronique 44 1996 Asymptotic analysis of linearly elastic shells. II: Justification of flexural shell equations. Zbl 0887.73039Ciarlet, Philippe G.; Lods, Véronique; Miara, Bernadette 43 1996 Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory. Zbl 0489.73057Ciarlet, P. G.; Kesavan, S. 42 1981 A justification of the Marguerre-von Kármán equations. Zbl 0633.73069Ciarlet, P. G.; Paumier, J.-C. 40 1986 An introduction to differential geometry with applications to elasticity. Zbl 1086.74001Ciarlet, Philippe G. 40 2005 On the characterizations of matrix fields as linearized strain tensor fields. Zbl 1115.35131Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 40 2006 Introduction to linear shell theory. Zbl 0912.73001Ciarlet, Philippe G. 36 1998 On the recovery of a surface with prescribed first and second fundamental forms. Zbl 1044.53004Ciarlet, Philippe G.; Larsonneur, François 30 2002 Numerical methods of high-order accuracy for nonlinear boundary value problems. III: Eigenvalue problems, IV: Periodic boundary conditions. Zbl 0181.18303Ciarlet, P. G.; Schultz, M. H.; Varga, R. S. 29 1968 Conforming and nonconforming finite element methods for solving the plate problem. Zbl 0285.65072Ciarlet, P. G. 29 1974 Unilateral problems in nonlinear three-dimensional elasticity. Zbl 0557.73009Ciarlet, Philippe G.; Nečas, Jindřich 27 1985 Asymptotic analysis of linearly elastic shells: ‘Generalized membrane shells’. Zbl 0891.73044Ciarlet, Philippe G.; Lods, Véronique 27 1996 On Korn’s inequality. Zbl 1200.49039Ciarlet, Philippe G. 27 2010 Elasticité tridimensionnelle. Zbl 0572.73027Ciarlet, P. G. 26 1986 Recovery of a manifold with boundary and its continuity as a function of its metric tensor. Zbl 1088.74014Ciarlet, Philippe G.; Mardare, Cristinel 25 2004 Lectures on three-dimensional elasticity. Notes by S. Kesavan. Zbl 0542.73046Ciarlet, P. G. 25 1983 Dual iterative techniques for solving a finite element approximation of the biharmonic equation. Zbl 0305.65068Ciarlet, P. G.; Glowinski, R. 25 1975 Justification of the two-dimensional equations of a linearly elastic shallow shell. Zbl 0769.73050Ciarlet, P. G.; Miara, B. 24 1992 Some results in the theory of nonnegative matrices. Zbl 0167.03101Ciarlet, P. G. 22 1968 Continuity of a deformation in \(H^{1}\) as a function of its Cauchy-Green tensor in \(L^{1}\). Zbl 1084.53063Ciarlet, P. G.; Mardare, C. 20 2004 On the ellipticity of linear membrane shell equations. Zbl 0870.73037Ciarlet, P.-G.; Lods, V. 20 1996 Numerical analysis of the finite element method. Zbl 0363.65083Ciarlet, Philippe G. 20 1976 Multipoint Taylor formulas and applications to the finite element method. Zbl 0199.50104Ciarlet, P. G.; Wagschal, C. 18 1971 Existence theorems in intrinsic nonlinear elasticity. Zbl 1273.74101Ciarlet, Philippe G.; Mardare, Cristinel 18 2010 Continuity of a deformation as a function of its Cauchy-Green tensor. Zbl 1030.74003Ciarlet, Philippe G.; Laurent, Florian 17 2003 Sur l’élément de Clough et Tocher. Zbl 0306.65070Ciarlet, P. G. 17 1974 Intrinsic formulation of the displacement-traction problem in linearized elasticity. Zbl 1291.74076Ciarlet, Philippe G.; Mardare, Cristinel 16 2014 Nonlinear Korn inequalities. Zbl 1337.35144Ciarlet, Philippe G.; Mardare, Cristinel 16 2015 On rigid and infinitesimal rigid displacements in shell theory. Zbl 1050.74030Ciarlet, Philippe G.; Mardare, Cristinel 16 2004 On questions of existence in shell theory. Zbl 0436.73081Ciarlet, P. G. 16 1976 \(\Gamma\)-convergence and asymptotic analysis of thin plates. (\(\Gamma\)-convergence et analyse asymptotique des plaques minces.) Zbl 0769.73043Bourquin, Frédéric; Ciarlet, Philippe G.; Geymonat, Giuseppe; Raoult, Annie 15 1992 On Korn’s inequalities in curvilinear coordinates. Zbl 1036.74036Ciarlet, Philippe G.; Mardare, Sorin 15 2001 Recovery of a surface with boundary and its continuity as a function of its two fundamental forms. Zbl 1083.53007Ciarlet, Philippe G.; Mardare, Christinel 14 2005 Interpolation error estimates for the reduced Hsieh-Clough-Tocher triangle. Zbl 0378.65010Ciarlet, Philippe G. 14 1978 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 0632.73015Ciarlet, Philippe G.; Le Dret, Hervé; Nzengwa, Robert 14 1987 An existence and uniqueness theorem for the two-dimensional linear membrane shell equations. Zbl 0856.73038Ciarlet, P. G.; Sanchez-Palencia, E. 14 1996 The continuity of a surface as a function of its two fundamental forms. Zbl 1042.53003Ciarlet, Philippe G. 14 2003 A nonlinear Korn inequality on a surface. Zbl 1094.53001Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 13 2006 On rigid and infinitesimal rigid displacements in three-dimensional elasticity. Zbl 1055.74006Ciarlet, Philippe G.; Mardare, Cristinel 13 2003 Justification of a two-dimensional nonlinear shell model of Koiter’s type. Zbl 0980.35159Ciarlet, P. G.; Roquefort, A. 13 2001 Recent progress in the two-dimensional approximation of three-dimensional plate models in nonlinear elasticity. Zbl 0612.73060Ciarlet, Philippe G. 13 1987 Intrinsic methods in elasticity: a mathematical survey. Zbl 1156.74007Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 13 2009 Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035Ciarlet, Philippe G.; Ciarlet, Patrick jun. 13 2009 On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 13 2015 Modeling and justification of eigenvalue problems for junctions between elastic structures. Zbl 0699.73010Bourquin, F.; Ciarlet, P. G. 12 1989 Finite difference methods (Part 1). Solution of equations in \(R^ n\) (Part 1). Zbl 0689.65001Ciarlet, P. G. (ed.); Lions, J. L. (ed.) 12 1990 A new duality approach to elasticity. Zbl 1242.49072Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 12 2012 Lectures on the finite element method. Notes by S. Kesavan, Akhil Ranjan, M. Vanninathan. Zbl 0353.73067Ciarlet, Philippe G. 12 1975 Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki 11 2007 An \(O(h^ 2)\) method for a non-smooth boundary value problem. Zbl 0159.11703Ciarlet, P. G. 11 1968 Discrete variational Green’s function. Zbl 0245.34012Ciarlet, P. G.; Varga, R. S. 11 1970 Weak vector and scalar potentials: applications to Poincaré’s theorem and Korn’s inequality in Sobolev spaces with negative exponents. Zbl 1190.49004Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 11 2010 Saint Venant compatibility equations on a surface application to intrinsic shell theory. Zbl 1172.53002Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel; Shen, Ming 11 2008 On the ellipticity of linear shell models. Zbl 0765.73046Ciarlet, P. G.; Miara, B. 10 1992 Numerical methods of high-order accuracy for nonlinear boundary value problems. II: Nonlinear boundary conditions. Zbl 0176.14901Ciarlet, P. G.; Schultz, M. H.; Varga, R. S. 10 1968 An existence theorem for nonlinearly elastic ‘flexural’ shells. Zbl 0929.74067Ciarlet, Philippe G.; Coutand, Daniel 10 1998 A new approach to linear shell theory. Zbl 1135.74027Ciarlet, Philippe G.; Gratie, Liliana 9 2005 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 0672.65001Ciarlet, Philippe G. 9 1988 Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1286.49053Ciarlet, Philippe G.; Mardare, Sorin 9 2013 New nonlinear estimates for surfaces in terms of their fundamental forms. (Nouvelles estimations pour des surfaces en fonction de leurs formes fondamentales.) Zbl 1361.53004Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel 9 2017 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 0876.73044Busse, Stéphane; Ciarlet, Philippe G.; Miara, Bernadette 9 1997 Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 9 2007 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 1337.53009Ciarlet, Philippe G.; Mardare, Sorin 8 2016 From the classical to the generalized von Kármán and Marguerre–von Kármán equations. Zbl 1085.74031Ciarlet, Philippe G.; Gratie, Liliana 8 2006 On the existence of solutions to the generalized Marguerre-von Kármán equations. Zbl 1092.74025Ciarlet, Philippe G.; Gratie, Liliana 8 2006 On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 8 2006 Discrete variational Green’s function. I. Zbl 0194.12703Ciarlet, Philippe G. 8 1970 A confinement problem for a linearly elastic Koiter’s shell. (Un problème de confinement pour une coque de Koiter linéairement élastique.) Zbl 1409.74029Ciarlet, Philippe G.; Piersanti, Paolo 6 2019 An obstacle problem for elliptic membrane shells. Zbl 1440.74205Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo 5 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 1405.74024Ciarlet, Philippe G.; Mardare, Cristinel 2 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 1411.53008Ciarlet, Philippe G.; Mardare, Cristinel 2 2019 An obstacle problem for Koiter’s shells. Zbl 07273353Ciarlet, Philippe G.; Piersanti, Paolo 1 2019 New estimates of the distance between two surfaces in terms of the distance between their fundamental forms. Zbl 07077613Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel 1 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 1402.74067Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo 8 2018 A nonlinear shell model of Koiter’s type. (Un modèle non linéaire de coques de type Koiter.) Zbl 1387.74075Ciarlet, Philippe G.; Mardare, Cristinel 7 2018 On a vector version of a fundamental lemma of J. L. Lions. Zbl 1398.46028Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel 5 2018 An intrinsic formulation of the Kirchhoff-love theory of linearly elastic plates. Zbl 1394.53004Ciarlet, Philippe G.; Mardare, Cristinel 4 2018 An existence theorem for a two-dimensional nonlinear shell model of Koiter’s type. Zbl 1411.74017Ciarlet, Philippe G.; Mardare, Cristinel 4 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 1390.53007Ciarlet, Philippe G.; Mardare, Cristinel 2 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 1404.74095Ciarlet, Philippe G.; Mardare, Cristinel 1 2018 New nonlinear estimates for surfaces in terms of their fundamental forms. (Nouvelles estimations pour des surfaces en fonction de leurs formes fondamentales.) Zbl 1361.53004Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel 9 2017 Recovery of immersions from their metric tensors and nonlinear Korn inequalities: a brief survey. Zbl 1362.53051Ciarlet, 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 1358.74030Ciarlet, 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 1356.74128Ciarlet, 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 1337.53009Ciarlet, Philippe G.; Mardare, Sorin 8 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 1349.74250Ciarlet, Philippe G.; Mardare, Cristinel 4 2016 Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Zbl 1335.65091Ciarlet, P. G.; Ciarlet, P. jun.; Sauter, S. A.; Simian, C. 3 2016 On Korn’s inequalities on a surface. Zbl 1356.46025Ciarlet, Philippe G.; Hou, Yifeng; Mardare, Cristinel 3 2016 Nonlinear Korn inequalities. Zbl 1337.35144Ciarlet, Philippe G.; Mardare, Cristinel 16 2015 On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 13 2015 Existence theorem for a nonlinear elliptic shell model. Zbl 1386.74022Bunoiu, Renata; Ciarlet, Philippe G.; Mardare, Cristinel 7 2015 Nonlinear donati compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1305.74054Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 5 2015 Donati compatibility conditions for membrane and flexural shells. Zbl 1344.49056Ciarlet, Philippe G.; Mardare, Cristinel; Shen, Xiaoqin 4 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 1320.35011Ciarlet, 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 1329.35018Ciarlet, Philippe G.; Mardare, Sorin 2 2015 Intrinsic formulation of the displacement-traction problem in linearized elasticity. Zbl 1291.74076Ciarlet, Philippe G.; Mardare, Cristinel 16 2014 Donati compatibility conditions on a surface – application to shell theory. Zbl 1425.74289Ciarlet, Philippe G.; Iosifescu, Oana 4 2014 Boundary conditions in intrinsic nonlinear elasticity. Zbl 1457.74027Ciarlet, Philippe G.; Mardare, Cristinel 3 2014 Remarks on a lemma by Jacques-Louis Lions. (Ramarques sur un lemme de Jacques-Louis Lions.) Zbl 1304.35025Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 3 2014 Linear and nonlinear functional analysis with applications. With 401 problems and 52 figures. Zbl 1293.46001Ciarlet, Philippe G. 102 2013 Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1286.49053Ciarlet, Philippe G.; Mardare, Sorin 9 2013 Orientation-preserving condition and polyconvexity on a surface: application to nonlinear shell theory. Zbl 1288.74049Ciarlet, Philippe; Gogu, Radu; Mardare, Cristinel 6 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 1335.74036Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 3 2013 Expression of Dirichlet boundary conditions in terms of the strain tensor in linearized elasticity. Zbl 1335.74012Ciarlet, Philippe; Mardare, Cristinel 3 2013 Fréchet differentiability of the norm in a Sobolev space with a variable exponent. Zbl 1285.46009Ciarlet, 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 1335.53016Ciarlet, Philippe G.; Iosifescu, Oana 2 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 1293.46019Ciarlet, Philippe G.; Iosifescu, Oana 1 2013 Expression of Dirichlet boundary conditions in terms of the Cauchy-Green tensor field. Zbl 1465.74024Ciarlet, Philippe G.; Mardare, Cristinel 1 2013 A new duality approach to elasticity. Zbl 1242.49072Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 12 2012 On the Newton-Kantorovich theorem. Zbl 1308.65079Ciarlet, Philippe G.; Mardare, Cristinel 8 2012 An intrinsic approach and a notion of polyconvexity for nonlinearly elastic plates. Zbl 1337.74031Ciarlet, Philippe G.; Mardare, Sorin 4 2012 Korn’s inequalities: the linear vs. the nonlinear case. Zbl 1242.74009Ciarlet, Philippe G. 4 2012 Legendre-Fenchel duality in elasticity. Zbl 1331.74027Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 6 2011 Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun 4 2011 A Poincaré inequality in a Sobolev space with a variable exponent. Zbl 1305.46026Ciarlet, Philippe G.; Dinca, George 4 2011 A notion of polyconvex function on a surface suggested by nonlinear shell theory. Zbl 1385.74010Ciarlet, Philippe G.; Gogu, Radu; Mardare, Cristinel 3 2011 Nonlinear Saint-Venant compatibility conditions for nonlinearly elastic plates. Zbl 1378.74042Ciarlet, Philippe G.; Mardare, Sorin 2 2011 On Korn’s inequality. Zbl 1200.49039Ciarlet, Philippe G. 27 2010 Existence theorems in intrinsic nonlinear elasticity. Zbl 1273.74101Ciarlet, Philippe G.; Mardare, Cristinel 18 2010 Weak vector and scalar potentials: applications to Poincaré’s theorem and Korn’s inequality in Sobolev spaces with negative exponents. Zbl 1190.49004Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 11 2010 A Cesàro-Volterra formula with little regularity. Zbl 1182.35213Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 3 2010 A Lagrangian approach to intrinsic linearized elasticity. Zbl 1266.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun 1 2010 Intrinsic methods in elasticity: a mathematical survey. Zbl 1156.74007Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 13 2009 Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035Ciarlet, Philippe G.; Ciarlet, Patrick jun. 13 2009 A generalization of the classical Cesàro-Volterra path integral formula. Zbl 1177.35051Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 4 2009 The pure displacement problem in nonlinear three-dimensional elasticity: Intrinsic formulation and existence theorems. Zbl 1163.74006Ciarlet, Philippe G.; Mardare, Cristinel 4 2009 Cesàro-Volterra path integral formula on a surface. Zbl 1173.53004Ciarlet, Philippe G.; Gratie, Liliana; Serpilli, Michele 3 2009 A new approach to the fundamental theorem of surface theory, by means of the Darboux-Vallée-Fortuné compatibility relation. Zbl 1170.53002Ciarlet, Philippe G.; Iosifescu, Oana 2 2009 Saint Venant compatibility equations on a surface application to intrinsic shell theory. Zbl 1172.53002Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel; Shen, Ming 11 2008 A new approach to the fundamental theorem of surface theory. Zbl 1142.53007Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 5 2008 A new approach for approximating linear elasticity problems. Zbl 1134.74049Ciarlet, Philippe G.; Ciarlet jun., Patrick 2 2008 Justification of the Darboux-Vallée-Fortuné compatibility relation in the theory of surfaces. Zbl 1153.53005Ciarlet, Philippe G.; Iosifescu, Oana 2 2008 Explicit reconstruction of a displacement field on a surface by means of its linearized change of metric and change of curvature tensors. Zbl 1151.74007Ciarlet, Philippe G.; Gratie, Liliana; Serpilli, Michele 1 2008 Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki 11 2007 Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007Amrouche, 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 1114.53033Ciarlet, 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 1115.35008Nguyen Minh Chuong; Ciarlet, P. G.; Lax, P.; Mumford, D.; Phong, D. H. 6 2007 Saint Venant compatibility equations in curvilinear coordinates. Zbl 1116.49023Ciarlet, Philippe G.; Mardare, Cristinel; Shen, Ming 5 2007 On the generalized von Kármán equations and their approximation. Zbl 1121.65118Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 3 2007 New compatibility conditions for the fundamental theorem of surface theory. Zbl 1129.53003Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 1 2007 Recovery of a displacement field from its linearized strain tensor field in curvilinear coordinates. Zbl 1112.74005Ciarlet, Philippe G.; Mardare, Cristinel; Shen, Ming 1 2007 On the characterizations of matrix fields as linearized strain tensor fields. Zbl 1115.35131Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 40 2006 A nonlinear Korn inequality on a surface. Zbl 1094.53001Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 13 2006 From the classical to the generalized von Kármán and Marguerre–von Kármán equations. Zbl 1085.74031Ciarlet, Philippe G.; Gratie, Liliana 8 2006 On the existence of solutions to the generalized Marguerre-von Kármán equations. Zbl 1092.74025Ciarlet, Philippe G.; Gratie, Liliana 8 2006 On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 8 2006 New formulations of linearized elasticity problems, based on extensions of Donati’s theorem. Zbl 1090.74007Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 3 2006 Rotation fields and the fundamental theorem of Riemannian geometry in \(\mathbb R^3\). Zbl 1107.53011Ciarlet, 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 1100.53004Ciarlet, Philippe G. 85 2005 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun. 64 2005 An introduction to differential geometry with applications to elasticity. Zbl 1086.74001Ciarlet, Philippe G. 40 2005 Recovery of a surface with boundary and its continuity as a function of its two fundamental forms. Zbl 1083.53007Ciarlet, Philippe G.; Mardare, Christinel 14 2005 A new approach to linear shell theory. Zbl 1135.74027Ciarlet, Philippe G.; Gratie, Liliana 9 2005 Another approach to linear shell theory and a new proof of Korn’s inequality on a surface. Zbl 1329.74176Ciarlet, Philippe G.; Gratie, Liliana 6 2005 Numerical analysis of the generalized von Kármán equations. Zbl 1081.74041Ciarlet, 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 1073.74009Ciarlet, 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 1088.74014Ciarlet, Philippe G.; Mardare, Cristinel 25 2004 Continuity of a deformation in \(H^{1}\) as a function of its Cauchy-Green tensor in \(L^{1}\). Zbl 1084.53063Ciarlet, P. G.; Mardare, C. 20 2004 On rigid and infinitesimal rigid displacements in shell theory. Zbl 1050.74030Ciarlet, Philippe G.; Mardare, Cristinel 16 2004 Another approach to linearized elasticity and Korn’s inequality. Zbl 1063.74009Ciarlet, Philippe G.; Ciarlet, Patrick jun. 6 2004 An estimate of the \(H^1\)-norm of deformations in terms of the \(L^1\)-norm of their Cauchy-Green tensors. Zbl 1183.74008Ciarlet, Philippe G.; Mardare, Cristinel 4 2004 On the recovery of a manifold with boundary in \(\mathbb R^n\). Zbl 1057.53013Ciarlet, Philippe G.; Mardare, Cristinel 3 2004 Extension of a Riemannian metric with vanishing curvature. Zbl 1066.53080Ciarlet, Philippe G.; Mardare, Cristinel 2 2004 Continuity of a deformation as a function of its Cauchy-Green tensor. Zbl 1030.74003Ciarlet, Philippe G.; Laurent, Florian 17 2003 The continuity of a surface as a function of its two fundamental forms. Zbl 1042.53003Ciarlet, Philippe G. 14 2003 On rigid and infinitesimal rigid displacements in three-dimensional elasticity. Zbl 1055.74006Ciarlet, Philippe G.; Mardare, Cristinel 13 2003 Handbook of Numerical Analysis IX. Numerical methods for fluids (Part 3). Zbl 1020.00003Ciarlet, P. G.; Lions, J. L. 7 2003 ...and 129 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,781 Authors 137 Ciarlet, Philippe Gaston 67 Mardare, Cristinel 53 Brenner, Susanne Cecelia 49 He, Yinnian 45 Shi, Dongyang 40 Gatica, Gabriel N. 40 Nicaise, Serge 39 Han, Weimin 38 Fernández, Jose Ramon 38 Shi, Zhongci 35 Carstensen, Carsten 34 Chen, Shaochun 33 Li, Jian 32 Luo, Zhendong 32 Nochetto, Ricardo Horacio 31 Neff, Patrizio 30 Křížek, Michal 29 Korotov, Sergey 27 Babuška, Ivo 26 Gratie, Liliana 26 Shu, Chi-Wang 26 Xu, Jinchao 25 Abdulle, Assyr 25 Brezzi, Franco 25 Chen, Zhangxin 25 Girault, Vivette 25 Xie, Hehu 25 Zhang, Zhimin 24 Baccouch, Mahboub 24 Huang, Jianguo 24 Mao, Shipeng 24 Neilan, Michael 24 Yan, Ningning 23 Duan, Huoyuan 23 Nazarov, Sergeĭ Aleksandrovich 23 Yang, Yidu 23 Zhou, Aihui 22 Beirão da Veiga, Lourenço 22 Gunzburger, Max D. 22 Li, Hong 22 Quarteroni, Alfio M. 22 Viaño, Juan Manuel 21 Gudi, Thirupathi 21 Hlaváček, Ivan 21 Hughes, Thomas J. R. 21 Li, Zi-Cai 21 Tambača, Josip 21 Xu, Xuejun 20 Bernadou, Michel 20 Ciarlet, Patrick jun. 20 Feng, Xiaobing 20 John, Volker 20 Oden, John Tinsley 20 Zhang, Shangyou 19 Glowinski, Roland 19 Nataraj, Neela 19 Rui, Hongxing 18 Hu, Jun 18 Liu, Steve Wenbin 18 Neittaanmäki, Pekka J. 18 Salgado, Abner J. 17 Destuynder, Philippe 17 Feistauer, Miloslav 17 Feng, Xinlong 17 Novo, Julia 17 Schwab, Christoph 17 Steigmann, David J. 16 Bramble, James H. 16 Gaudiello, Antonio 16 Geymonat, Giuseppe 16 Griso, Georges 16 Haslinger, Jaroslav 16 Huang, Xuehai 16 Li, Zhiping 16 Lin, Qun 16 Lin, Yanping 16 Lovadina, Carlo 16 Marini, Luisa Donatella 16 Nakao, Mitsuhiro T. 16 Ženíšek, Alexander 16 Zou, Jun 15 Barrett, John W. 15 Bi, Hai 15 Chen, Jinru 15 Chen, Yanping 15 Hild, Patrick 15 Ishihara, Kazuo 15 Li, Likang 15 Maday, Yvon 15 Miara, Bernadette 15 Ming, Pingbing 15 Oh, Hae-Soo 15 Rodríguez-Arós, Ángel D. 15 Ruas, Vitoriano 15 Sofonea, Mircea 15 Stenberg, Rolf 15 Wang, Cheng 15 Wang, Junping 15 Yang, Danping 14 Boulbrachene, Messaoud ...and 5,681 more Authors all top 5 Cited in 425 Serials 578 Computer Methods in Applied Mechanics and Engineering 430 Numerische Mathematik 337 Journal of Computational and Applied Mathematics 310 Mathematics of Computation 206 Journal of Scientific Computing 195 Computers & Mathematics with Applications 178 Applied Mathematics and Computation 176 Applied Numerical Mathematics 132 Journal of Elasticity 130 Comptes Rendus. 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Mathematics 18 Mathematical Problems in Engineering 17 Abstract and Applied Analysis 16 Journal of Nonlinear Science 16 Applied Mathematics. Series B (English Edition) 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Lobachevskii Journal of Mathematics 15 Discrete and Continuous Dynamical Systems. Series B 15 Journal of Numerical Mathematics 14 International Journal of Solids and Structures 14 SIAM Journal on Control and Optimization 14 Acta Applicandae Mathematicae 14 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 14 Nonlinear Analysis. Real World Applications 14 Journal of Systems Science and Complexity 14 Journal of Applied Mathematics and Computing 14 Multiscale Modeling & Simulation 14 Discrete and Continuous Dynamical Systems. Series S 14 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 13 Journal of Functional Analysis 13 Cybernetics and Systems Analysis 12 Computers and Fluids 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Computer Aided Geometric Design 12 Journal of Mathematical Fluid Mechanics 11 International Journal for Numerical Methods in Fluids 11 Meccanica 11 Quarterly of Applied Mathematics 11 Journal of Inequalities and Applications 11 Archives of Computational Methods in Engineering 11 Inverse Problems and Imaging 10 Journal of Engineering Mathematics 10 Journal of Integral Equations and Applications 10 Discrete and Continuous Dynamical Systems ...and 325 more Serials all top 5 Cited in 58 Fields 4,051 Numerical analysis (65-XX) 2,782 Partial differential equations (35-XX) 2,191 Mechanics of deformable solids (74-XX) 1,048 Fluid mechanics (76-XX) 648 Calculus of variations and optimal control; optimization (49-XX) 216 Optics, electromagnetic theory (78-XX) 204 Approximations and expansions (41-XX) 174 Ordinary differential equations (34-XX) 127 Operator theory (47-XX) 120 Biology and other natural sciences (92-XX) 114 Differential geometry (53-XX) 102 Classical thermodynamics, heat transfer (80-XX) 100 Functional analysis (46-XX) 89 Statistical mechanics, structure of matter (82-XX) 89 Operations research, mathematical programming (90-XX) 88 Integral equations (45-XX) 78 Global analysis, analysis on manifolds (58-XX) 71 Probability theory and stochastic processes (60-XX) 62 Potential theory (31-XX) 60 Computer science (68-XX) 51 Systems theory; control (93-XX) 45 Dynamical systems and ergodic theory (37-XX) 38 Geophysics (86-XX) 36 Real functions (26-XX) 35 Mechanics of particles and systems (70-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 30 Functions of a complex variable (30-XX) 24 Quantum theory (81-XX) 23 Information and communication theory, circuits (94-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 20 Statistics (62-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Convex and discrete geometry (52-XX) 10 Combinatorics (05-XX) 10 Measure and integration (28-XX) 10 Difference and functional equations (39-XX) 7 General and overarching topics; collections (00-XX) 7 Special functions (33-XX) 7 Manifolds and cell complexes (57-XX) 7 Relativity and gravitational theory (83-XX) 5 History and biography (01-XX) 5 Astronomy and astrophysics (85-XX) 4 Topological groups, Lie groups (22-XX) 4 Integral transforms, operational calculus (44-XX) 3 Algebraic geometry (14-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 3 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-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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