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 2,448 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 238 Publications have been cited 10,264 times in 7,819 Documents Cited by ▼ Year ▼ The finite element method for elliptic problems. Zbl 0383.65058Ciarlet, Philippe G. 2,848 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. 742 1988 The finite element methods for elliptic problems. Repr., unabridged republ. of the orig. 1978. Zbl 0999.65129Ciarlet, Philippe G. 608 2002 Basic error estimates for elliptic problems. Zbl 0875.65086Ciarlet, P. G. 401 1991 Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069Ciarlet, P. G.; Raviart, P.-A. 241 1973 General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004Ciarlet, P. G.; Raviart, P. A. 209 1972 Mathematical elasticity. Vol. 2: Theory of plates. Zbl 0888.73001Ciarlet, Philippe G. 206 1997 A justification of the two-dimensional linear plate model. Zbl 0415.73072Ciarlet, P. G.; Destuynder, P. 203 1979 Linear and nonlinear functional analysis with applications. With 401 problems and 52 figures. Zbl 1293.46001Ciarlet, Philippe G. 154 2013 Mathematical elasticity. Vol. 3: Theory of shells. Zbl 0953.74004Ciarlet, Philippe G. 141 2000 Plates and junctions in elastic multi-structures. An asymptotic analysis. Zbl 0706.73046Ciarlet, P. G. 138 1990 Discrete maximum principle for finite-difference operators. Zbl 0198.14601Ciarlet, P. G. 125 1970 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. 119 2005 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. 117 1967 Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079Ciarlet, P. G.; Raviart, P.-A. 114 1972 A mixed finite element method for the biharmonic equation. Zbl 0337.65058Ciarlet, P. G.; Raviart, P. A. 110 1974 Finite element methods (Part 1). Zbl 0712.65091 103 1991 Injectivity and self-contact in nonlinear elasticity. Zbl 0628.73043Ciarlet, Philippe G.; Nečas, Jindřich 102 1987 Les equations de von Kármán. Zbl 0433.73019Ciarlet, Philippe G.; Rabier, Patrick 91 1980 A justification of a nonlinear model in plate theory. Zbl 0405.73050Ciarlet, Philippe G.; Destuynder, Phillipe 90 1979 The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070Ciarlet, P. G.; Raviart, P.-A. 90 1972 A justification of the von Kármán equations. Zbl 0443.73034Ciarlet, Philippe G. 89 1980 Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations. Zbl 0887.73038Ciarlet, Philippe G.; Lods, Véronique 73 1996 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun. 70 2005 Introduction à l’analyse numérique matricielle et à l’optimisation. Zbl 0488.65001Ciarlet, P. G. 67 1982 Existence theorems for two-dimensional linear shell theories. Zbl 0808.73045Bernadou, M.; Ciarlet, P. G.; Miara, B. 66 1994 Sur les lois de comportement en élasticité non linéaire compressible. Zbl 0497.73017Ciarlet, Philippe G.; Geymonat, Giuseppe 53 1982 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. 51 1969 Asymptotic analysis of linearly elastic shells. III: Justification of Koiter’s shell equations. Zbl 0887.73040Ciarlet, Philippe G.; Lods, Véronique 51 1996 Sur l’ellipticite du modèle linéaire de coques de W. T. Koiter. Zbl 0356.73066Bernadou, M.; Ciarlet, P. G. 51 1976 Junctions between three-dimensional and two-dimensional linear elastic structures. Zbl 0661.73013Ciarlet, Philippe G.; Le Dret, Hervé; Nzengwa, Robert 47 1989 An introduction to differential geometry with applications to elasticity. Zbl 1086.74001Ciarlet, Philippe G. 46 2005 Numerical methods of high-order accuracy for singular nonlinear boundary value problems. Zbl 0211.19103Ciarlet, P. G.; Natterer, F.; Varga, R. S. 46 1970 Asymptotic analysis of linearly elastic shells. II: Justification of flexural shell equations. Zbl 0887.73039Ciarlet, Philippe G.; Lods, Véronique; Miara, Bernadette 46 1996 Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory. Zbl 0489.73057Ciarlet, P. G.; Kesavan, S. 44 1981 Introduction to linear shell theory. Zbl 0912.73001Ciarlet, Philippe G. 43 1998 A justification of the Marguerre-von Kármán equations. Zbl 0633.73069Ciarlet, P. G.; Paumier, J.-C. 42 1986 On the characterizations of matrix fields as linearized strain tensor fields. Zbl 1115.35131Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 42 2006 On Korn’s inequality. Zbl 1200.49039Ciarlet, Philippe G. 35 2010 Asymptotic analysis of linearly elastic shells: ‘Generalized membrane shells’. Zbl 0891.73044Ciarlet, Philippe G.; Lods, Véronique 33 1996 Unilateral problems in nonlinear three-dimensional elasticity. Zbl 0557.73009Ciarlet, Philippe G.; Nečas, Jindřich 32 1985 Conforming and nonconforming finite element methods for solving the plate problem. Zbl 0285.65072Ciarlet, P. G. 32 1974 On the recovery of a surface with prescribed first and second fundamental forms. Zbl 1044.53004Ciarlet, Philippe G.; Larsonneur, François 32 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 Elasticité tridimensionnelle. Zbl 0572.73027Ciarlet, P. G. 27 1986 On the ellipticity of linear membrane shell equations. Zbl 0870.73037Ciarlet, P.-G.; Lods, V. 27 1996 Justification of the two-dimensional equations of a linearly elastic shallow shell. Zbl 0769.73050Ciarlet, P. G.; Miara, B. 27 1992 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 Dual iterative techniques for solving a finite element approximation of the biharmonic equation. Zbl 0305.65068Ciarlet, P. G.; Glowinski, R. 25 1975 Some results in the theory of nonnegative matrices. Zbl 0167.03101Ciarlet, P. G. 22 1968 Existence theorems in intrinsic nonlinear elasticity. Zbl 1273.74101Ciarlet, Philippe G.; Mardare, Cristinel 21 2010 Numerical analysis of the finite element method. Zbl 0363.65083Ciarlet, Philippe G. 21 1976 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 Multipoint Taylor formulas and applications to the finite element method. Zbl 0199.50104Ciarlet, P. G.; Wagschal, C. 20 1971 Nonlinear Korn inequalities. Zbl 1337.35144Ciarlet, Philippe G.; Mardare, Cristinel 18 2015 On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 18 2015 Intrinsic methods in elasticity: a mathematical survey. Zbl 1156.74007Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 18 2009 \(\Gamma\)-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 18 1992 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. 18 1974 An existence and uniqueness theorem for the two-dimensional linear membrane shell equations. Zbl 0856.73038Ciarlet, P. G.; Sanchez-Palencia, E. 17 1996 On questions of existence in shell theory. Zbl 0436.73081Ciarlet, P. G. 16 1976 Justification of a two-dimensional nonlinear shell model of Koiter’s type. Zbl 0980.35159Ciarlet, P. G.; Roquefort, A. 16 2001 Intrinsic formulation of the displacement-traction problem in linearized elasticity. Zbl 1291.74076Ciarlet, Philippe G.; Mardare, Cristinel 16 2014 The continuity of a surface as a function of its two fundamental forms. Zbl 1042.53003Ciarlet, Philippe G. 16 2003 On rigid and infinitesimal rigid displacements in shell theory. Zbl 1050.74030Ciarlet, Philippe G.; Mardare, Cristinel 16 2004 Interpolation error estimates for the reduced Hsieh-Clough-Tocher triangle. Zbl 0378.65010Ciarlet, Philippe G. 16 1978 An obstacle problem for elliptic membrane shells. Zbl 1440.74205Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo 15 2019 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 On Korn’s inequalities in curvilinear coordinates. Zbl 1036.74036Ciarlet, Philippe G.; Mardare, Sorin 15 2001 A new duality approach to elasticity. Zbl 1242.49072Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise 14 2012 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 A nonlinear Korn inequality on a surface. Zbl 1094.53001Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel 14 2006 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 14 2018 Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki 14 2007 Recent progress in the two-dimensional approximation of three-dimensional plate models in nonlinear elasticity. Zbl 0612.73060Ciarlet, Philippe G. 13 1987 Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035Ciarlet, Philippe G.; Ciarlet, Patrick jun. 13 2009 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 13 2019 Finite difference methods (Part 1). Solution of equations in \(R^ n\) (Part 1). Zbl 0689.65001 13 1990 On rigid and infinitesimal rigid displacements in three-dimensional elasticity. Zbl 1055.74006Ciarlet, Philippe G.; Mardare, Cristinel 13 2003 Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1286.49053Ciarlet, Philippe G.; Mardare, Sorin 13 2013 Lectures on the finite element method. Notes by S. Kesavan, Akhil Ranjan, M. Vanninathan. Zbl 0353.73067Ciarlet, Philippe G. 13 1975 Modeling and justification of eigenvalue problems for junctions between elastic structures. Zbl 0699.73010Bourquin, F.; Ciarlet, P. G. 12 1989 An existence theorem for nonlinearly elastic ‘flexural’ shells. Zbl 0929.74067Ciarlet, Philippe G.; Coutand, Daniel 12 1998 Discrete variational Green’s function. Zbl 0245.34012Ciarlet, P. G.; Varga, R. S. 12 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 An \(O(h^ 2)\) method for a non-smooth boundary value problem. Zbl 0159.11703Ciarlet, P. G. 11 1968 An obstacle problem for Koiter’s shells. Zbl 07273353Ciarlet, Philippe G.; Piersanti, Paolo 10 2019 On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan 10 2006 From the classical to the generalized von Kármán and Marguerre–von Kármán equations. Zbl 1085.74031Ciarlet, Philippe G.; Gratie, Liliana 10 2006 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 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 9 2016 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 Discrete variational Green’s function. I. Zbl 0194.12703Ciarlet, Philippe G. 9 1970 Intrinsic formulation of the Kirchhoff-Love theory of nonlinearly elastic shallow shells. Zbl 07730363Ciarlet, Philippe G.; Mardare, Cristinel 1 2022 Mathematical elasticity. Volume I. Three-dimensional elasticity. Reprint of the 1998 edition. Zbl 1482.74034Ciarlet, Philippe G. 1 2022 Locally convex spaces and harmonic analysis. An introduction with 93 problems. Zbl 1482.46001Ciarlet, Philippe G. 1 2021 Continuity in Fréchet topologies of a surface as a function of its fundamental forms. Zbl 1447.53011Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel 3 2020 An obstacle problem for elliptic membrane shells. Zbl 1440.74205Ciarlet, Philippe G.; Mardare, Cristinel; 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 1409.74029Ciarlet, Philippe G.; Piersanti, Paolo 13 2019 An obstacle problem for Koiter’s shells. Zbl 07273353Ciarlet, Philippe G.; Piersanti, Paolo 10 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 4 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 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 The intrinsic theory of linearly elastic plates. Zbl 1442.74114Ciarlet, 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 1402.74067Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo 14 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 8 2018 An intrinsic formulation of the Kirchhoff-love theory of linearly elastic plates. Zbl 1394.53004Ciarlet, Philippe G.; Mardare, Cristinel 8 2018 On a vector version of a fundamental lemma of J. L. Lions. Zbl 1398.46028Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel 7 2018 An existence theorem for a two-dimensional nonlinear shell model of Koiter’s type. Zbl 1411.74017Ciarlet, 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 1404.74095Ciarlet, 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 1390.53007Ciarlet, 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 1361.53004Ciarlet, 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. 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 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 18 2015 On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel 18 2015 Existence theorem for a nonlinear elliptic shell model. Zbl 1386.74022Bunoiu, Renata; Ciarlet, Philippe G.; Mardare, Cristinel 8 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 6 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. 154 2013 Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1286.49053Ciarlet, Philippe G.; Mardare, Sorin 13 2013 Orientation-preserving condition and polyconvexity on a surface: application to nonlinear shell theory. Zbl 1288.74049Ciarlet, Philippe; Gogu, Radu; Mardare, Cristinel 8 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 4 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 2 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 14 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 7 2011 A Poincaré inequality in a Sobolev space with a variable exponent. Zbl 1305.46026Ciarlet, Philippe G.; Dinca, George 6 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 4 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. 35 2010 Existence theorems in intrinsic nonlinear elasticity. Zbl 1273.74101Ciarlet, Philippe G.; Mardare, Cristinel 21 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 4 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 18 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 5 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 Justification of the Darboux-Vallée-Fortuné compatibility relation in the theory of surfaces. Zbl 1153.53005Ciarlet, Philippe G.; Iosifescu, Oana 2 2008 A new approach for approximating linear elasticity problems. Zbl 1134.74049Ciarlet, Philippe G.; Ciarlet jun., Patrick 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 14 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 7 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 42 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 10 2006 From the classical to the generalized von Kármán and Marguerre–von Kármán equations. Zbl 1085.74031Ciarlet, Philippe G.; Gratie, Liliana 10 2006 On the existence of solutions to the generalized Marguerre-von Kármán equations. Zbl 1092.74025Ciarlet, Philippe G.; Gratie, Liliana 8 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 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 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. 119 2005 Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006Ciarlet, Philippe G.; Ciarlet, Patrick jun. 70 2005 An introduction to differential geometry with applications to elasticity. Zbl 1086.74001Ciarlet, Philippe G. 46 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. 7 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 ...and 138 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,089 Authors 140 Ciarlet, Philippe Gaston 71 Mardare, Cristinel 60 Brenner, Susanne Cecelia 54 He, Yinnian 51 Fernández, Jose Ramon 50 Gatica, Gabriel N. 48 Han, Weimin 48 Shi, Dongyang 46 Carstensen, Carsten 44 Nicaise, Serge 41 Li, Jian 40 Neff, Patrizio 37 Korotov, Sergey 37 Shi, Zhongci 35 Luo, Zhendong 34 Chen, Shaochun 34 Křížek, Michal 33 Nochetto, Ricardo Horacio 32 Girault, Vivette 31 Shu, Chi-Wang 31 Zhang, Zhimin 30 Huang, Jianguo 30 Yang, Yidu 29 Chen, Zhangxin 29 Mao, Shipeng 28 Baccouch, Mahboub 28 Brezzi, Franco 28 Neilan, Michael 28 Xie, Hehu 28 Xu, Jinchao 27 Babuška, Ivo 27 Duan, Huoyuan 27 John, Volker 27 Nataraj, Neela 26 Abdulle, Assyr 26 Beirão da Veiga, Lourenço 26 Gratie, Liliana 26 Hu, Jun 26 Nazarov, Sergeĭ Aleksandrovich 26 Zhou, Aihui 25 Gunzburger, Max D. 25 Yan, Ningning 24 Li, Zi-Cai 24 Otárola, Enrique 24 Xu, Xuejun 23 Gudi, Thirupathi 23 Li, Hong 23 Quarteroni, Alfio M. 23 Salgado, Abner J. 23 Tambača, Josip 23 Viaño, Juan Manuel 22 Ciarlet, Patrick jun. 22 Feng, Xiaobing 22 Hughes, Thomas J. R. 22 Kružík, Martin 22 Novo, Julia 22 Zhang, Shangyou 21 Bi, Hai 21 Feng, Xinlong 21 Hlaváček, Ivan 21 Marini, Luisa Donatella 21 Rui, Hongxing 20 Bernadou, Michel 20 Feistauer, Miloslav 20 Huang, Xuehai 20 Huang, Yunqing 20 Liu, Steve Wenbin 20 Oden, John Tinsley 20 Steigmann, David J. 20 Yang, Danping 20 Zhang, Tong 20 Zou, Jun 19 Chen, Yanping 19 Gaudiello, Antonio 19 Glowinski, Roland 19 Knobloch, Petr 19 Manzini, Gianmarco 19 Quintanilla de Latorre, Ramón 19 Rumpf, Martin 19 Schwab, Christoph 18 Herbin, Raphaèle 18 Lin, Qun 18 Mora, David 18 Neittaanmäki, Pekka J. 18 Onninen, Jani 18 Ruiz-Baier, Ricardo 18 Wang, Junping 17 Ben Belgacem, Faker 17 Chen, Jinru 17 Destuynder, Philippe 17 Geymonat, Giuseppe 17 Haslinger, Jaroslav 17 Li, Zhiping 17 Lovadina, Carlo 17 Ming, Pingbing 17 Nakao, Mitsuhiro T. 17 Pani, Amiya Kumar 17 Park, Eun-Jae 17 Piersanti, Paolo 17 Rodríguez-Arós, Ángel D. ...and 6,989 more Authors all top 5 Cited in 496 Serials 650 Computer Methods in Applied Mechanics and Engineering 449 Numerische Mathematik 404 Journal of Computational and Applied Mathematics 324 Mathematics of Computation 264 Journal of Scientific Computing 258 Computers & Mathematics with Applications 206 Applied Numerical Mathematics 199 Applied Mathematics and Computation 164 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 148 Journal of Elasticity 138 Journal of Computational Physics 135 SIAM Journal on Numerical Analysis 132 Comptes Rendus. 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Analyse Non Linéaire 15 Computing and Visualization in Science 15 Journal of Mathematical Fluid Mechanics 15 Foundations of Computational Mathematics 14 Computers and Fluids 14 International Journal of Solids and Structures 14 Journal of Engineering Mathematics 14 Computer Aided Geometric Design 14 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 14 Journal of Systems Science and Complexity 14 Boundary Value Problems 14 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. 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