Edit Profile (opens in new tab) 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: MGP · ORCID · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 258 Publications since 1967, including 25 Books 18 Contributions as Editor · 2 Further Contributions Biographic References: 4 Publications Co-Authors: 64 Co-Authors with 204 Joint Publications 2,100 Co-Co-Authors all top 5 Co-Authors 71 single-authored 57 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 A. 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 Françoise, Krasucki 1 Gallagher, Richard Hugo 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 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 Ziekiewicz 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 4 Mathematics and Mechanics of Solids 4 Classics in Applied Mathematics 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 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 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 202 Mechanics of deformable solids (74-XX) 89 Partial differential equations (35-XX) 46 Numerical analysis (65-XX) 45 Differential geometry (53-XX) 28 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 233 Publications have been cited 9,090 times in 6,868 Documents Cited by ▼ Year ▼ The finite element method for elliptic problems. Zbl 0383.65058Ciarlet, Philippe G. 2,503 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. 630 1988 The finite element methods for elliptic problems. Repr., unabridged republ. of the orig. 1978. Zbl 0999.65129Ciarlet, Philippe G. 370 2002 Basic error estimates for elliptic problems. Zbl 0875.65086Ciarlet, P. G. 351 1991 Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069Ciarlet, P. G.; Raviart, P.-A. 220 1973 General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004Ciarlet, P. G.; Raviart, P. A. 200 1972 A justification of the two-dimensional linear plate model. Zbl 0415.73072Ciarlet, P. G.; Destuynder, P. 192 1979 Mathematical elasticity. Vol. 2: Theory of plates. Zbl 0888.73001Ciarlet, Philippe G. 168 1997 Plates and junctions in elastic multi-structures. An asymptotic analysis. Zbl 0706.73046Ciarlet, P. G. 126 1990 Linear and nonlinear functional analysis with applications. With 401 problems and 52 figures. Zbl 1293.46001Ciarlet, Philippe G. 122 2013 Discrete maximum principle for finite-difference operators. Zbl 0198.14601Ciarlet, P. G. 118 1970 Mathematical elasticity. Vol. 3: Theory of shells. Zbl 0953.74004Ciarlet, Philippe G. 117 2000 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. 113 1967 Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079Ciarlet, P. G.; Raviart, P.-A. 109 1972 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. 94 2005 Finite element methods (Part 1). Zbl 0712.65091 91 1991 A justification of a nonlinear model in plate theory. Zbl 0405.73050Ciarlet, Philippe G.; Destuynder, Phillipe 88 1979 A mixed finite element method for the biharmonic equation. Zbl 0337.65058Ciarlet, P. G.; Raviart, P. A. 88 1974 A justification of the von Kármán equations. Zbl 0443.73034Ciarlet, Philippe G. 86 1980 Injectivity and self-contact in nonlinear elasticity. Zbl 0628.73043Ciarlet, Philippe G.; Nečas, Jindřich 84 1987 The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070Ciarlet, P. G.; Raviart, P.-A. 83 1972 Les equations de von Kármán. Zbl 0433.73019Ciarlet, Philippe G.; Rabier, Patrick 82 1980 Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations. Zbl 0887.73038Ciarlet, Philippe G.; Lods, Véronique 69 1996 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. 64 1982 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun. 64 2005 The finite element method for elliptic problems. 1st repr. (paperback). Zbl 0511.65078Ciarlet, Philippe G. 54 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. 51 1969 Sur les lois de comportement en élasticité non linéaire compressible. Zbl 0497.73017Ciarlet, Philippe G.; Geymonat, Giuseppe 50 1982 Sur l’ellipticite du modèle linéaire de coques de W. T. Koiter. Zbl 0356.73066Bernadou, M.; Ciarlet, P. G. 50 1976 Asymptotic analysis of linearly elastic shells. III: Justification of Koiter’s shell equations. Zbl 0887.73040Ciarlet, Philippe G.; Lods, Véronique 48 1996 Asymptotic analysis of linearly elastic shells. II: Justification of flexural shell equations. Zbl 0887.73039Ciarlet, Philippe G.; Lods, Véronique; Miara, Bernadette 45 1996 Numerical methods of high-order accuracy for singular nonlinear boundary value problems. Zbl 0211.19103Ciarlet, P. G.; Natterer, F.; Varga, R. S. 45 1970 Junctions between three-dimensional and two-dimensional linear elastic structures. Zbl 0661.73013Ciarlet, Philippe G.; Le Dret, Hervé; Nzengwa, Robert 44 1989 Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory. Zbl 0489.73057Ciarlet, P. G.; Kesavan, S. 42 1981 An introduction to differential geometry with applications to elasticity. Zbl 1086.74001Ciarlet, Philippe G. 41 2005 A justification of the Marguerre-von Kármán equations. Zbl 0633.73069Ciarlet, P. G.; Paumier, J.-C. 40 1986 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. 38 1998 Unilateral problems in nonlinear three-dimensional elasticity. Zbl 0557.73009Ciarlet, Philippe G.; Nečas, Jindřich 31 1985 Asymptotic analysis of linearly elastic shells: ‘Generalized membrane shells’. Zbl 0891.73044Ciarlet, Philippe G.; Lods, Véronique 30 1996 On the recovery of a surface with prescribed first and second fundamental forms. Zbl 1044.53004Ciarlet, Philippe G.; Larsonneur, François 30 2002 Conforming and nonconforming finite element methods for solving the plate problem. Zbl 0285.65072Ciarlet, P. G. 30 1974 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 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 26 2004 Lectures on three-dimensional elasticity. Notes by S. Kesavan. Zbl 0542.73046Ciarlet, P. G. 25 1983 Justification of the two-dimensional equations of a linearly elastic shallow shell. Zbl 0769.73050Ciarlet, P. G.; Miara, B. 25 1992 Dual iterative techniques for solving a finite element approximation of the biharmonic equation. Zbl 0305.65068Ciarlet, P. G.; Glowinski, R. 25 1975 On the ellipticity of linear membrane shell equations. Zbl 0870.73037Ciarlet, P.-G.; Lods, V. 23 1996 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 Numerical analysis of the finite element method. Zbl 0363.65083Ciarlet, Philippe G. 20 1976 Existence theorems in intrinsic nonlinear elasticity. Zbl 1273.74101Ciarlet, Philippe G.; Mardare, Cristinel 19 2010 Multipoint Taylor formulas and applications to the finite element method. Zbl 0199.50104Ciarlet, P. G.; Wagschal, C. 19 1971 Continuity of a deformation as a function of its Cauchy-Green tensor. Zbl 1030.74003Ciarlet, Philippe G.; Laurent, Florian 18 2003 Sur l’élément de Clough et Tocher. Zbl 0306.65070Ciarlet, P. G. 17 1974 Nonlinear Korn inequalities. Zbl 1337.35144Ciarlet, Philippe G.; Mardare, Cristinel 17 2015 An existence and uniqueness theorem for the two-dimensional linear membrane shell equations. Zbl 0856.73038Ciarlet, P. G.; Sanchez-Palencia, E. 16 1996 Intrinsic formulation of the displacement-traction problem in linearized elasticity. Zbl 1291.74076Ciarlet, Philippe G.; Mardare, Cristinel 16 2014 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 15 2005 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 On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 14 2015 A nonlinear Korn inequality on a surface. Zbl 1094.53001Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 14 2006 Intrinsic methods in elasticity: a mathematical survey. Zbl 1156.74007Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 14 2009 Interpolation error estimates for the reduced Hsieh-Clough-Tocher triangle. Zbl 0378.65010Ciarlet, Philippe G. 14 1978 The continuity of a surface as a function of its two fundamental forms. Zbl 1042.53003Ciarlet, Philippe G. 14 2003 Recent progress in the two-dimensional approximation of three-dimensional plate models in nonlinear elasticity. Zbl 0612.73060Ciarlet, Philippe G. 13 1987 Finite difference methods (Part 1). Solution of equations in \(R^ n\) (Part 1). Zbl 0689.65001 13 1990 Justification of a two-dimensional nonlinear shell model of Koiter’s type. Zbl 0980.35159Ciarlet, P. G.; Roquefort, A. 13 2001 On rigid and infinitesimal rigid displacements in three-dimensional elasticity. Zbl 1055.74006Ciarlet, Philippe G.; Mardare, Cristinel 13 2003 Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035Ciarlet, Philippe G.; Ciarlet, Patrick jun. 13 2009 Modeling and justification of eigenvalue problems for junctions between elastic structures. Zbl 0699.73010Bourquin, F.; Ciarlet, P. G. 12 1989 A new duality approach to elasticity. Zbl 1242.49072Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 12 2012 Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki 12 2007 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 12 2018 Lectures on the finite element method. Notes by S. Kesavan, Akhil Ranjan, M. Vanninathan. Zbl 0353.73067Ciarlet, Philippe G. 12 1975 An \(O(h^ 2)\) method for a non-smooth boundary value problem. Zbl 0159.11703Ciarlet, P. G. 11 1968 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 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 An existence theorem for nonlinearly elastic ‘flexural’ shells. Zbl 0929.74067Ciarlet, Philippe G.; Coutand, Daniel 10 1998 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 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 10 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 0672.65001Ciarlet, Philippe G. 9 1988 Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun. 9 2007 Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1286.49053Ciarlet, Philippe G.; Mardare, Sorin 9 2013 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 A new approach to linear shell theory. Zbl 1135.74027Ciarlet, Philippe G.; Gratie, Liliana 9 2005 On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 9 2006 An obstacle problem for elliptic membrane shells. Zbl 1440.74205Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo 9 2019 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 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 9 2016 Continuity in Fréchet topologies of a surface as a function of its fundamental forms. Zbl 1447.53011Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel 1 2020 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 10 2019 An obstacle problem for elliptic membrane shells. Zbl 1440.74205Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo 9 2019 An obstacle problem for Koiter’s shells. Zbl 07273353Ciarlet, Philippe G.; Piersanti, Paolo 5 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 3 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 New estimates of the distance between two surfaces in terms of the distance between their fundamental forms. Zbl 1475.53014Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel 2 2019 The intrinsic theory of linearly elastic plates. Zbl 1442.74114Ciarlet, Philippe G.; 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 12 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 9 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. 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 1349.74250Ciarlet, Philippe G.; Mardare, Cristinel 4 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 17 2015 On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 14 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 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 1320.35011Ciarlet, 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 Boundary conditions in intrinsic nonlinear elasticity. Zbl 1457.74027Ciarlet, Philippe G.; Mardare, Cristinel 4 2014 Donati compatibility conditions on a surface – application to shell theory. Zbl 1425.74289Ciarlet, Philippe G.; Iosifescu, Oana 4 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. 122 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 Expression of Dirichlet boundary conditions in terms of the strain tensor in linearized elasticity. Zbl 1335.74012Ciarlet, Philippe; Mardare, Cristinel 3 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 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 Korn’s inequalities: the linear vs. the nonlinear case. Zbl 1242.74009Ciarlet, Philippe G. 4 2012 An intrinsic approach and a notion of polyconvexity for nonlinearly elastic plates. Zbl 1337.74031Ciarlet, Philippe G.; Mardare, Sorin 4 2012 Legendre-Fenchel duality in elasticity. Zbl 1331.74027Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 6 2011 A Poincaré inequality in a Sobolev space with a variable exponent. Zbl 1305.46026Ciarlet, Philippe G.; Dinca, George 4 2011 Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun 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 19 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 14 2009 Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035Ciarlet, Philippe G.; Ciarlet, Patrick jun. 13 2009 Cesàro-Volterra path integral formula on a surface. Zbl 1173.53004Ciarlet, Philippe G.; Gratie, Liliana; Serpilli, Michele 4 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 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 6 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 12 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 1115.35008 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 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 New compatibility conditions for the fundamental theorem of surface theory. Zbl 1129.53003Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 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 14 2006 On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 9 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 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. 94 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. 41 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 15 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 26 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 18 2003 The continuity of a surface as a function of its two fundamental forms. Zbl 1042.53003Ciarlet, Philippe G. 14 2003 ...and 133 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,126 Authors 137 Ciarlet, Philippe Gaston 67 Mardare, Cristinel 56 Brenner, Susanne Cecelia 51 He, Yinnian 46 Shi, Dongyang 44 Fernández, Jose Ramon 43 Han, Weimin 42 Gatica, Gabriel N. 41 Carstensen, Carsten 41 Nicaise, Serge 38 Shi, Zhongci 34 Chen, Shaochun 34 Li, Jian 33 Luo, Zhendong 33 Nochetto, Ricardo Horacio 32 Korotov, Sergey 32 Neff, Patrizio 31 Křížek, Michal 28 Girault, Vivette 28 Xu, Jinchao 28 Zhang, Zhimin 27 Babuška, Ivo 27 Yang, Yidu 26 Abdulle, Assyr 26 Gratie, Liliana 26 Shu, Chi-Wang 25 Brezzi, Franco 25 Chen, Zhangxin 25 Duan, Huoyuan 25 Huang, Jianguo 25 Mao, Shipeng 25 Neilan, Michael 25 Xie, Hehu 25 Xu, Xuejun 24 Baccouch, Mahboub 24 Yan, Ningning 23 Gunzburger, Max D. 23 Li, Hong 23 Nataraj, Neela 23 Nazarov, Sergeĭ Aleksandrovich 23 Zhou, Aihui 22 Beirão da Veiga, Lourenço 22 Gudi, Thirupathi 22 Quarteroni, Alfio M. 22 Viaño, Juan Manuel 21 Hlaváček, Ivan 21 Hughes, Thomas J. R. 21 John, Volker 21 Li, Zi-Cai 21 Tambača, Josip 21 Zhang, Shangyou 20 Bernadou, Michel 20 Ciarlet, Patrick jun. 20 Feng, Xiaobing 20 Oden, John Tinsley 19 Glowinski, Roland 19 Hu, Jun 19 Novo, Julia 19 Rui, Hongxing 19 Salgado, Abner J. 18 Feistauer, Miloslav 18 Gaudiello, Antonio 18 Liu, Steve Wenbin 18 Marini, Luisa Donatella 18 Neittaanmäki, Pekka J. 18 Steigmann, David J. 18 Yang, Danping 18 Zou, Jun 17 Bi, Hai 17 Destuynder, Philippe 17 Feng, Xinlong 17 Herbin, Raphaèle 17 Huang, Xuehai 17 Otárola, Enrique 17 Rodríguez-Arós, Ángel D. 17 Schwab, Christoph 17 Wang, Cheng 16 Bramble, James H. 16 Chen, Jinru 16 Chen, Yanping 16 Geymonat, Giuseppe 16 Griso, Georges 16 Haslinger, Jaroslav 16 Huang, Yunqing 16 Li, Zhiping 16 Lin, Qun 16 Lin, Yanping 16 Lovadina, Carlo 16 Ming, Pingbing 16 Nakao, Mitsuhiro T. 16 Oh, Hae-Soo 16 Ženíšek, Alexander 15 Barrett, John W. 15 Hild, Patrick 15 Ishihara, Kazuo 15 Kružík, Martin 15 Li, Likang 15 Maday, Yvon 15 Miara, Bernadette 15 Pasadas, Miguel ...and 6,026 more Authors all top 5 Cited in 450 Serials 589 Computer Methods in Applied Mechanics and Engineering 435 Numerische Mathematik 344 Journal of Computational and Applied Mathematics 312 Mathematics of Computation 214 Journal of Scientific Computing 204 Computers & Mathematics with Applications 184 Applied Numerical Mathematics 183 Applied Mathematics and Computation 148 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 136 Journal of Elasticity 130 Comptes Rendus. 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Analyse Non Linéaire 12 Computer Aided Geometric Design 12 Computational and Applied Mathematics 12 Boundary Value Problems 12 SMAI Journal of Computational Mathematics 11 International Journal for Numerical Methods in Fluids ...and 350 more Serials all top 5 Cited in 58 Fields 4,303 Numerical analysis (65-XX) 2,942 Partial differential equations (35-XX) 2,290 Mechanics of deformable solids (74-XX) 1,117 Fluid mechanics (76-XX) 693 Calculus of variations and optimal control; optimization (49-XX) 232 Optics, electromagnetic theory (78-XX) 208 Approximations and expansions (41-XX) 176 Ordinary differential equations (34-XX) 135 Operator theory (47-XX) 128 Biology and other natural sciences (92-XX) 122 Differential geometry (53-XX) 109 Classical thermodynamics, heat transfer (80-XX) 100 Functional analysis (46-XX) 94 Integral equations (45-XX) 94 Statistical mechanics, structure of matter (82-XX) 94 Operations research, mathematical programming (90-XX) 82 Global analysis, analysis on manifolds (58-XX) 74 Probability theory and stochastic processes (60-XX) 70 Computer science (68-XX) 67 Potential theory (31-XX) 52 Systems theory; control (93-XX) 49 Dynamical systems and ergodic theory (37-XX) 40 Real functions (26-XX) 39 Geophysics (86-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 33 Mechanics of particles and systems (70-XX) 30 Functions of a complex variable (30-XX) 25 Statistics (62-XX) 25 Quantum theory (81-XX) 24 Information and communication theory, circuits (94-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Convex and discrete geometry (52-XX) 12 Combinatorics (05-XX) 12 Measure and integration (28-XX) 9 Difference and functional equations (39-XX) 8 Manifolds and cell complexes (57-XX) 7 General and overarching topics; collections (00-XX) 7 Special functions (33-XX) 7 Relativity and gravitational theory (83-XX) 6 Astronomy and astrophysics (85-XX) 5 History and biography (01-XX) 4 Topological groups, Lie groups (22-XX) 4 Integral transforms, operational calculus (44-XX) 4 General topology (54-XX) 3 Algebraic geometry (14-XX) 3 Geometry (51-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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