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Ciarlet, Philippe Gaston

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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
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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

Publications by Year

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 0383.65058
Ciarlet, Philippe G.
1978
Derivation of the von Kármán equations from three-dimensional elasticity. Zbl 0445.73043
Ciarlet, P. G.
810
1978
Mathematical elasticity. Volume I: Three-dimensional elasticity. Zbl 0648.73014
Ciarlet, Philippe G.
589
1988
Basic error estimates for elliptic problems. Zbl 0875.65086
Ciarlet, P. G.
325
1991
The finite element methods for elliptic problems. Repr., unabridged republ. of the orig. 1978. Zbl 0999.65129
Ciarlet, Philippe G.
319
2002
Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069
Ciarlet, P. G.; Raviart, P.-A.
205
1973
General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
196
1972
A justification of the two-dimensional linear plate model. Zbl 0415.73072
Ciarlet, P. G.; Destuynder, P.
184
1979
Mathematical elasticity. Vol. 2: Theory of plates. Zbl 0888.73001
Ciarlet, Philippe G.
160
1997
Plates and junctions in elastic multi-structures. An asymptotic analysis. Zbl 0706.73046
Ciarlet, P. G.
123
1990
Discrete maximum principle for finite-difference operators. Zbl 0198.14601
Ciarlet, P. G.
117
1970
Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem. Zbl 0155.20403
Ciarlet, P. G.; Schultz, M. H.; Varga, R. S.
111
1967
Mathematical elasticity. Vol. 3: Theory of shells. Zbl 0953.74004
Ciarlet, Philippe G.
108
2000
Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079
Ciarlet, P. G.; Raviart, P.-A.
105
1972
Linear and nonlinear functional analysis with applications. With 401 problems and 52 figures. Zbl 1293.46001
Ciarlet, Philippe G.
102
2013
Finite element methods (Part 1). Zbl 0712.65091
Ciarlet, P. G. (ed.); Lions, J. L. (ed.)
87
1991
A justification of a nonlinear model in plate theory. Zbl 0405.73050
Ciarlet, 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 1100.53004
Ciarlet, Philippe G.
85
2005
The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070
Ciarlet, P. G.; Raviart, P.-A.
83
1972
A mixed finite element method for the biharmonic equation. Zbl 0337.65058
Ciarlet, P. G.; Raviart, P. A.
82
1974
A justification of the von Kármán equations. Zbl 0443.73034
Ciarlet, Philippe G.
81
1980
Injectivity and self-contact in nonlinear elasticity. Zbl 0628.73043
Ciarlet, Philippe G.; Nečas, Jindřich
80
1987
Les equations de von Kármán. Zbl 0433.73019
Ciarlet, Philippe G.; Rabier, Patrick
80
1980
Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
64
2005
Existence theorems for two-dimensional linear shell theories. Zbl 0808.73045
Bernadou, M.; Ciarlet, P. G.; Miara, B.
64
1994
Introduction à l’analyse numérique matricielle et à l’optimisation. Zbl 0488.65001
Ciarlet, P. G.
62
1982
Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations. Zbl 0887.73038
Ciarlet, Philippe G.; Lods, Véronique
61
1996
The finite element method for elliptic problems. 1st repr. (paperback). Zbl 0511.65078
Ciarlet, Philippe G.
53
1980
Numerical methods of high-order accuracy for nonlinear boundary value problems. V: Monotone operator theory. Zbl 0181.18603
Ciarlet, P. G.; Schultz, M. H.; Varga, R. S.
50
1969
Sur l’ellipticite du modèle linéaire de coques de W. T. Koiter. Zbl 0356.73066
Bernadou, M.; Ciarlet, P. G.
50
1976
Sur les lois de comportement en élasticité non linéaire compressible. Zbl 0497.73017
Ciarlet, Philippe G.; Geymonat, Giuseppe
49
1982
Junctions between three-dimensional and two-dimensional linear elastic structures. Zbl 0661.73013
Ciarlet, Philippe G.; Le Dret, Hervé; Nzengwa, Robert
44
1989
Numerical methods of high-order accuracy for singular nonlinear boundary value problems. Zbl 0211.19103
Ciarlet, P. G.; Natterer, F.; Varga, R. S.
44
1970
Asymptotic analysis of linearly elastic shells. III: Justification of Koiter’s shell equations. Zbl 0887.73040
Ciarlet, Philippe G.; Lods, Véronique
44
1996
Asymptotic analysis of linearly elastic shells. II: Justification of flexural shell equations. Zbl 0887.73039
Ciarlet, Philippe G.; Lods, Véronique; Miara, Bernadette
43
1996
Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory. Zbl 0489.73057
Ciarlet, P. G.; Kesavan, S.
42
1981
A justification of the Marguerre-von Kármán equations. Zbl 0633.73069
Ciarlet, P. G.; Paumier, J.-C.
40
1986
An introduction to differential geometry with applications to elasticity. Zbl 1086.74001
Ciarlet, Philippe G.
40
2005
On the characterizations of matrix fields as linearized strain tensor fields. Zbl 1115.35131
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
40
2006
Introduction to linear shell theory. Zbl 0912.73001
Ciarlet, Philippe G.
36
1998
On the recovery of a surface with prescribed first and second fundamental forms. Zbl 1044.53004
Ciarlet, 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 0181.18303
Ciarlet, P. G.; Schultz, M. H.; Varga, R. S.
29
1968
Conforming and nonconforming finite element methods for solving the plate problem. Zbl 0285.65072
Ciarlet, P. G.
29
1974
Unilateral problems in nonlinear three-dimensional elasticity. Zbl 0557.73009
Ciarlet, Philippe G.; Nečas, Jindřich
27
1985
Asymptotic analysis of linearly elastic shells: ‘Generalized membrane shells’. Zbl 0891.73044
Ciarlet, Philippe G.; Lods, Véronique
27
1996
On Korn’s inequality. Zbl 1200.49039
Ciarlet, Philippe G.
27
2010
Elasticité tridimensionnelle. Zbl 0572.73027
Ciarlet, P. G.
26
1986
Recovery of a manifold with boundary and its continuity as a function of its metric tensor. Zbl 1088.74014
Ciarlet, Philippe G.; Mardare, Cristinel
25
2004
Lectures on three-dimensional elasticity. Notes by S. Kesavan. Zbl 0542.73046
Ciarlet, P. G.
25
1983
Dual iterative techniques for solving a finite element approximation of the biharmonic equation. Zbl 0305.65068
Ciarlet, P. G.; Glowinski, R.
25
1975
Justification of the two-dimensional equations of a linearly elastic shallow shell. Zbl 0769.73050
Ciarlet, P. G.; Miara, B.
24
1992
Some results in the theory of nonnegative matrices. Zbl 0167.03101
Ciarlet, P. G.
22
1968
Continuity of a deformation in \(H^{1}\) as a function of its Cauchy-Green tensor in \(L^{1}\). Zbl 1084.53063
Ciarlet, P. G.; Mardare, C.
20
2004
On the ellipticity of linear membrane shell equations. Zbl 0870.73037
Ciarlet, P.-G.; Lods, V.
20
1996
Numerical analysis of the finite element method. Zbl 0363.65083
Ciarlet, Philippe G.
20
1976
Multipoint Taylor formulas and applications to the finite element method. Zbl 0199.50104
Ciarlet, P. G.; Wagschal, C.
18
1971
Existence theorems in intrinsic nonlinear elasticity. Zbl 1273.74101
Ciarlet, Philippe G.; Mardare, Cristinel
18
2010
Continuity of a deformation as a function of its Cauchy-Green tensor. Zbl 1030.74003
Ciarlet, Philippe G.; Laurent, Florian
17
2003
Sur l’élément de Clough et Tocher. Zbl 0306.65070
Ciarlet, P. G.
17
1974
Intrinsic formulation of the displacement-traction problem in linearized elasticity. Zbl 1291.74076
Ciarlet, Philippe G.; Mardare, Cristinel
16
2014
Nonlinear Korn inequalities. Zbl 1337.35144
Ciarlet, Philippe G.; Mardare, Cristinel
16
2015
On rigid and infinitesimal rigid displacements in shell theory. Zbl 1050.74030
Ciarlet, Philippe G.; Mardare, Cristinel
16
2004
On questions of existence in shell theory. Zbl 0436.73081
Ciarlet, P. G.
16
1976
\(\Gamma\)-convergence and asymptotic analysis of thin plates. (\(\Gamma\)-convergence et analyse asymptotique des plaques minces.) Zbl 0769.73043
Bourquin, Frédéric; Ciarlet, Philippe G.; Geymonat, Giuseppe; Raoult, Annie
15
1992
On Korn’s inequalities in curvilinear coordinates. Zbl 1036.74036
Ciarlet, Philippe G.; Mardare, Sorin
15
2001
Recovery of a surface with boundary and its continuity as a function of its two fundamental forms. Zbl 1083.53007
Ciarlet, Philippe G.; Mardare, Christinel
14
2005
Interpolation error estimates for the reduced Hsieh-Clough-Tocher triangle. Zbl 0378.65010
Ciarlet, 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 0632.73015
Ciarlet, Philippe G.; Le Dret, Hervé; Nzengwa, Robert
14
1987
An existence and uniqueness theorem for the two-dimensional linear membrane shell equations. Zbl 0856.73038
Ciarlet, P. G.; Sanchez-Palencia, E.
14
1996
The continuity of a surface as a function of its two fundamental forms. Zbl 1042.53003
Ciarlet, Philippe G.
14
2003
A nonlinear Korn inequality on a surface. Zbl 1094.53001
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel
13
2006
On rigid and infinitesimal rigid displacements in three-dimensional elasticity. Zbl 1055.74006
Ciarlet, Philippe G.; Mardare, Cristinel
13
2003
Justification of a two-dimensional nonlinear shell model of Koiter’s type. Zbl 0980.35159
Ciarlet, P. G.; Roquefort, A.
13
2001
Recent progress in the two-dimensional approximation of three-dimensional plate models in nonlinear elasticity. Zbl 0612.73060
Ciarlet, Philippe G.
13
1987
Intrinsic methods in elasticity: a mathematical survey. Zbl 1156.74007
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel
13
2009
Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
13
2009
On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027
Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel
13
2015
Modeling and justification of eigenvalue problems for junctions between elastic structures. Zbl 0699.73010
Bourquin, F.; Ciarlet, P. G.
12
1989
Finite difference methods (Part 1). Solution of equations in \(R^ n\) (Part 1). Zbl 0689.65001
Ciarlet, P. G. (ed.); Lions, J. L. (ed.)
12
1990
A new duality approach to elasticity. Zbl 1242.49072
Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise
12
2012
Lectures on the finite element method. Notes by S. Kesavan, Akhil Ranjan, M. Vanninathan. Zbl 0353.73067
Ciarlet, Philippe G.
12
1975
Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki
11
2007
An \(O(h^ 2)\) method for a non-smooth boundary value problem. Zbl 0159.11703
Ciarlet, P. G.
11
1968
Discrete variational Green’s function. Zbl 0245.34012
Ciarlet, 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 1190.49004
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
11
2010
Saint Venant compatibility equations on a surface application to intrinsic shell theory. Zbl 1172.53002
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel; Shen, Ming
11
2008
On the ellipticity of linear shell models. Zbl 0765.73046
Ciarlet, P. G.; Miara, B.
10
1992
Numerical methods of high-order accuracy for nonlinear boundary value problems. II: Nonlinear boundary conditions. Zbl 0176.14901
Ciarlet, P. G.; Schultz, M. H.; Varga, R. S.
10
1968
An existence theorem for nonlinearly elastic ‘flexural’ shells. Zbl 0929.74067
Ciarlet, Philippe G.; Coutand, Daniel
10
1998
A new approach to linear shell theory. Zbl 1135.74027
Ciarlet, 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 0672.65001
Ciarlet, Philippe G.
9
1988
Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1286.49053
Ciarlet, 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 1361.53004
Ciarlet, 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 0876.73044
Busse, Stéphane; Ciarlet, Philippe G.; Miara, Bernadette
9
1997
Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007
Amrouche, 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 1337.53009
Ciarlet, Philippe G.; Mardare, Sorin
8
2016
From the classical to the generalized von Kármán and Marguerre–von Kármán equations. Zbl 1085.74031
Ciarlet, Philippe G.; Gratie, Liliana
8
2006
On the existence of solutions to the generalized Marguerre-von Kármán equations. Zbl 1092.74025
Ciarlet, Philippe G.; Gratie, Liliana
8
2006
On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
8
2006
Discrete variational Green’s function. I. Zbl 0194.12703
Ciarlet, 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 1409.74029
Ciarlet, Philippe G.; Piersanti, Paolo
6
2019
An obstacle problem for elliptic membrane shells. Zbl 1440.74205
Ciarlet, 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 1405.74024
Ciarlet, 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 1411.53008
Ciarlet, Philippe G.; Mardare, Cristinel
2
2019
An obstacle problem for Koiter’s shells. Zbl 07273353
Ciarlet, Philippe G.; Piersanti, Paolo
1
2019
New estimates of the distance between two surfaces in terms of the distance between their fundamental forms. Zbl 07077613
Ciarlet, 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 1402.74067
Ciarlet, 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 1387.74075
Ciarlet, Philippe G.; Mardare, Cristinel
7
2018
On a vector version of a fundamental lemma of J. L. Lions. Zbl 1398.46028
Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel
5
2018
An intrinsic formulation of the Kirchhoff-love theory of linearly elastic plates. Zbl 1394.53004
Ciarlet, Philippe G.; Mardare, Cristinel
4
2018
An existence theorem for a two-dimensional nonlinear shell model of Koiter’s type. Zbl 1411.74017
Ciarlet, Philippe G.; Mardare, Cristinel
4
2018
\(W^{2,p}\)-estimates for surfaces in terms of their two fundamental forms. (Estimations dans \(W^{2,p}\) pour des surfaces à partir de leurs deux formes fondamentales.) Zbl 1390.53007
Ciarlet, Philippe G.; Mardare, Cristinel
2
2018
Intrinsic formulation of the displacement-traction problem in linear shell theory. (Formulation intrinsèque du problème en déplacement-traction en théorie linéaire des coques.) Zbl 1404.74095
Ciarlet, Philippe G.; Mardare, Cristinel
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 1361.53004
Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel
9
2017
Recovery of immersions from their metric tensors and nonlinear Korn inequalities: a brief survey. Zbl 1362.53051
Ciarlet, Philippe G.; Mardare, Cristinel; Mardare, Sorin
3
2017
Nonlinear Donati compatibility conditions on a surface-application to the intrinsic approach for Koiter’s model of a nonlinearly elastic shallow shell. Zbl 1358.74030
Ciarlet, Philippe G.; Iosifescu, Oana
2
2017
An intrinsic approach to a nonlinear model in shell theory. (Une approche intrinsèque d’un modèle non linéaire de la théorie des coques.) Zbl 1356.74128
Ciarlet, Philippe G.; Iosifescu, Oana
1
2017
Nonlinear Korn inequalities in \(\mathbb R^n\) and immersions in \(W^{2,p}\), \(p>n\), considered as functions of their metric tensors in \(W^{1,p}\). Zbl 1337.53009
Ciarlet, Philippe G.; Mardare, Sorin
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 1349.74250
Ciarlet, Philippe G.; Mardare, Cristinel
4
2016
Intrinsic finite element methods for the computation of fluxes for Poisson’s equation. Zbl 1335.65091
Ciarlet, P. G.; Ciarlet, P. jun.; Sauter, S. A.; Simian, C.
3
2016
On Korn’s inequalities on a surface. Zbl 1356.46025
Ciarlet, Philippe G.; Hou, Yifeng; Mardare, Cristinel
3
2016
Nonlinear Korn inequalities. Zbl 1337.35144
Ciarlet, Philippe G.; Mardare, Cristinel
16
2015
On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027
Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel
13
2015
Existence theorem for a nonlinear elliptic shell model. Zbl 1386.74022
Bunoiu, Renata; Ciarlet, Philippe G.; Mardare, Cristinel
7
2015
Nonlinear donati compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1305.74054
Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise
5
2015
Donati compatibility conditions for membrane and flexural shells. Zbl 1344.49056
Ciarlet, 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 1320.35011
Ciarlet, Philippe G.; Mardare, Cristinel
4
2015
A nonlinear Korn inequality in \(W^{2,p}\), \(p>n\). (Une inégalité de Korn non linéaire dans \(W^{2,p}\), \(p>n\).) Zbl 1329.35018
Ciarlet, Philippe G.; Mardare, Sorin
2
2015
Intrinsic formulation of the displacement-traction problem in linearized elasticity. Zbl 1291.74076
Ciarlet, Philippe G.; Mardare, Cristinel
16
2014
Donati compatibility conditions on a surface – application to shell theory. Zbl 1425.74289
Ciarlet, Philippe G.; Iosifescu, Oana
4
2014
Boundary conditions in intrinsic nonlinear elasticity. Zbl 1457.74027
Ciarlet, Philippe G.; Mardare, Cristinel
3
2014
Remarks on a lemma by Jacques-Louis Lions. (Ramarques sur un lemme de Jacques-Louis Lions.) Zbl 1304.35025
Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel
3
2014
Linear and nonlinear functional analysis with applications. With 401 problems and 52 figures. Zbl 1293.46001
Ciarlet, Philippe G.
102
2013
Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1286.49053
Ciarlet, Philippe G.; Mardare, Sorin
9
2013
Orientation-preserving condition and polyconvexity on a surface: application to nonlinear shell theory. Zbl 1288.74049
Ciarlet, 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 1335.74036
Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise
3
2013
Expression of Dirichlet boundary conditions in terms of the strain tensor in linearized elasticity. Zbl 1335.74012
Ciarlet, Philippe; Mardare, Cristinel
3
2013
Fréchet differentiability of the norm in a Sobolev space with a variable exponent. Zbl 1285.46009
Ciarlet, Philippe G.; Dinca, George; Matei, Pavel
2
2013
Green’s formulas with little regularity on a surface – application to Donati-like compatibility conditions on a surface. (Formules de Green avec peu de régularité sur une surface – application à des conditions de compatibilité du type de Donati sur une surface.) Zbl 1335.53016
Ciarlet, Philippe G.; Iosifescu, Oana
2
2013
The space \(\mathbf H(\mathop{div},\cdot)\) on a surface – application to Donati-like compatibility conditions on a surface. (L’espace \(\mathbf H(\mathop{div},\cdot)\) sur une surface – application à des conditions de compatibilité du type de Donati sur une surface.) Zbl 1293.46019
Ciarlet, Philippe G.; Iosifescu, Oana
1
2013
Expression of Dirichlet boundary conditions in terms of the Cauchy-Green tensor field. Zbl 1465.74024
Ciarlet, Philippe G.; Mardare, Cristinel
1
2013
A new duality approach to elasticity. Zbl 1242.49072
Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise
12
2012
On the Newton-Kantorovich theorem. Zbl 1308.65079
Ciarlet, Philippe G.; Mardare, Cristinel
8
2012
An intrinsic approach and a notion of polyconvexity for nonlinearly elastic plates. Zbl 1337.74031
Ciarlet, Philippe G.; Mardare, Sorin
4
2012
Korn’s inequalities: the linear vs. the nonlinear case. Zbl 1242.74009
Ciarlet, Philippe G.
4
2012
Legendre-Fenchel duality in elasticity. Zbl 1331.74027
Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise
6
2011
Lagrange multipliers in intrinsic elasticity. Zbl 1214.49030
Ciarlet, 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 1305.46026
Ciarlet, Philippe G.; Dinca, George
4
2011
A notion of polyconvex function on a surface suggested by nonlinear shell theory. Zbl 1385.74010
Ciarlet, Philippe G.; Gogu, Radu; Mardare, Cristinel
3
2011
Nonlinear Saint-Venant compatibility conditions for nonlinearly elastic plates. Zbl 1378.74042
Ciarlet, Philippe G.; Mardare, Sorin
2
2011
On Korn’s inequality. Zbl 1200.49039
Ciarlet, Philippe G.
27
2010
Existence theorems in intrinsic nonlinear elasticity. Zbl 1273.74101
Ciarlet, 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 1190.49004
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
11
2010
A Cesàro-Volterra formula with little regularity. Zbl 1182.35213
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel
3
2010
A Lagrangian approach to intrinsic linearized elasticity. Zbl 1266.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Iosifescu, Oana; Sauter, Stefan; Zou, Jun
1
2010
Intrinsic methods in elasticity: a mathematical survey. Zbl 1156.74007
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel
13
2009
Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
13
2009
A generalization of the classical Cesàro-Volterra path integral formula. Zbl 1177.35051
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel
4
2009
The pure displacement problem in nonlinear three-dimensional elasticity: Intrinsic formulation and existence theorems. Zbl 1163.74006
Ciarlet, Philippe G.; Mardare, Cristinel
4
2009
Cesàro-Volterra path integral formula on a surface. Zbl 1173.53004
Ciarlet, 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 1170.53002
Ciarlet, Philippe G.; Iosifescu, Oana
2
2009
Saint Venant compatibility equations on a surface application to intrinsic shell theory. Zbl 1172.53002
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel; Shen, Ming
11
2008
A new approach to the fundamental theorem of surface theory. Zbl 1142.53007
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel
5
2008
A new approach for approximating linear elasticity problems. Zbl 1134.74049
Ciarlet, Philippe G.; Ciarlet jun., Patrick
2
2008
Justification of the Darboux-Vallée-Fortuné compatibility relation in the theory of surfaces. Zbl 1153.53005
Ciarlet, Philippe G.; Iosifescu, Oana
2
2008
Explicit reconstruction of a displacement field on a surface by means of its linearized change of metric and change of curvature tensors. Zbl 1151.74007
Ciarlet, Philippe G.; Gratie, Liliana; Serpilli, Michele
1
2008
Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki
11
2007
Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
9
2007
Another approach to the fundamental theorem of Riemannian geometry in \(\mathbb R^{3}\), by way of rotation fields. Zbl 1114.53033
Ciarlet, Philippe G.; Gratie, Liliana; Iosifescu, Oana; Mardare, Cristinel; Vallée, Claude
8
2007
Advances in deterministic and stochastic analysis. Proceedings of the 2nd international conference on abstract and applied analysis, Quy Nhon, Vietnam, June 4–9. 2005. Zbl 1115.35008
Nguyen Minh Chuong; Ciarlet, P. G.; Lax, P.; Mumford, D.; Phong, D. H.
6
2007
Saint Venant compatibility equations in curvilinear coordinates. Zbl 1116.49023
Ciarlet, Philippe G.; Mardare, Cristinel; Shen, Ming
5
2007
On the generalized von Kármán equations and their approximation. Zbl 1121.65118
Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
3
2007
New compatibility conditions for the fundamental theorem of surface theory. Zbl 1129.53003
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel
1
2007
Recovery of a displacement field from its linearized strain tensor field in curvilinear coordinates. Zbl 1112.74005
Ciarlet, Philippe G.; Mardare, Cristinel; Shen, Ming
1
2007
On the characterizations of matrix fields as linearized strain tensor fields. Zbl 1115.35131
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
40
2006
A nonlinear Korn inequality on a surface. Zbl 1094.53001
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel
13
2006
From the classical to the generalized von Kármán and Marguerre–von Kármán equations. Zbl 1085.74031
Ciarlet, Philippe G.; Gratie, Liliana
8
2006
On the existence of solutions to the generalized Marguerre-von Kármán equations. Zbl 1092.74025
Ciarlet, Philippe G.; Gratie, Liliana
8
2006
On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
8
2006
New formulations of linearized elasticity problems, based on extensions of Donati’s theorem. Zbl 1090.74007
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
3
2006
Rotation fields and the fundamental theorem of Riemannian geometry in \(\mathbb R^3\). Zbl 1107.53011
Ciarlet, Philippe G.; Gratie, Liliana; Iosifescu, Oana; Mardare, Cristinel; Vallée, Claude
3
2006
An introduction to differential geometry with applications to elasticity. Reprinted from the Journal of Elasticity 78–79, No. 1-3 (2005). Zbl 1100.53004
Ciarlet, Philippe G.
85
2005
Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
64
2005
An introduction to differential geometry with applications to elasticity. Zbl 1086.74001
Ciarlet, Philippe G.
40
2005
Recovery of a surface with boundary and its continuity as a function of its two fundamental forms. Zbl 1083.53007
Ciarlet, Philippe G.; Mardare, Christinel
14
2005
A new approach to linear shell theory. Zbl 1135.74027
Ciarlet, Philippe G.; Gratie, Liliana
9
2005
Another approach to linear shell theory and a new proof of Korn’s inequality on a surface. Zbl 1329.74176
Ciarlet, Philippe G.; Gratie, Liliana
6
2005
Numerical analysis of the generalized von Kármán equations. Zbl 1081.74041
Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
3
2005
Continuity in \(H^1\)-norms of surfaces in terms of the \(L^1\)-norms of their fundamental forms. Zbl 1073.74009
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel
1
2005
Recovery of a manifold with boundary and its continuity as a function of its metric tensor. Zbl 1088.74014
Ciarlet, Philippe G.; Mardare, Cristinel
25
2004
Continuity of a deformation in \(H^{1}\) as a function of its Cauchy-Green tensor in \(L^{1}\). Zbl 1084.53063
Ciarlet, P. G.; Mardare, C.
20
2004
On rigid and infinitesimal rigid displacements in shell theory. Zbl 1050.74030
Ciarlet, Philippe G.; Mardare, Cristinel
16
2004
Another approach to linearized elasticity and Korn’s inequality. Zbl 1063.74009
Ciarlet, 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 1183.74008
Ciarlet, Philippe G.; Mardare, Cristinel
4
2004
On the recovery of a manifold with boundary in \(\mathbb R^n\). Zbl 1057.53013
Ciarlet, Philippe G.; Mardare, Cristinel
3
2004
Extension of a Riemannian metric with vanishing curvature. Zbl 1066.53080
Ciarlet, Philippe G.; Mardare, Cristinel
2
2004
Continuity of a deformation as a function of its Cauchy-Green tensor. Zbl 1030.74003
Ciarlet, Philippe G.; Laurent, Florian
17
2003
The continuity of a surface as a function of its two fundamental forms. Zbl 1042.53003
Ciarlet, Philippe G.
14
2003
On rigid and infinitesimal rigid displacements in three-dimensional elasticity. Zbl 1055.74006
Ciarlet, Philippe G.; Mardare, Cristinel
13
2003
Handbook of Numerical Analysis IX. Numerical methods for fluids (Part 3). Zbl 1020.00003
Ciarlet, P. G.; Lions, J. L.
7
2003
...and 129 more Documents
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
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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. Mathématique. Académie des Sciences, Paris
129 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
111 Journal of Computational Physics
111 RAIRO. Modélisation Mathématique et Analyse Numérique
109 SIAM Journal on Numerical Analysis
106 Journal of Mathematical Analysis and Applications
88 Archive for Rational Mechanics and Analysis
87 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
85 Numerical Functional Analysis and Optimization
74 Mathematics and Mechanics of Solids
73 Calcolo
66 RAIRO. Analyse Numérique
65 Advances in Computational Mathematics
59 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
54 Journal de Mathématiques Pures et Appliquées. Neuvième Série
52 SIAM Journal on Scientific Computing
50 Applications of Mathematics
47 Computing
44 Computational Mechanics
44 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
43 Mathematical Methods in the Applied Sciences
39 Aplikace Matematiky
38 Applicable Analysis
38 BIT
38 Applied Mathematical Modelling
37 Applied Mathematics and Mechanics. (English Edition)
37 International Journal of Computer Mathematics
34 Japan Journal of Industrial and Applied Mathematics
34 Numerical Algorithms
34 Analysis and Applications (Singapore)
33 Numerical Methods for Partial Differential Equations
32 Mathematical and Computer Modelling
31 ZAMP. Zeitschrift für angewandte Mathematik und Physik
30 Journal of Approximation Theory
30 Acta Mathematicae Applicatae Sinica. English Series
29 International Journal for Numerical Methods in Engineering
29 Mathematics and Computers in Simulation
29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
28 Journal of Differential Equations
27 Applied Mathematics Letters
26 Acta Mechanica
26 International Journal of Engineering Science
26 Journal of Mathematical Sciences (New York)
25 Linear Algebra and its Applications
24 Journal of Optimization Theory and Applications
24 Calculus of Variations and Partial Differential Equations
24 Computational Methods in Applied Mathematics
23 Journal of the Mechanics and Physics of Solids
23 Chinese Annals of Mathematics. Series B
22 Journal of Complexity
20 SIAM Journal on Mathematical Analysis
20 Continuum Mechanics and Thermodynamics
20 European Journal of Mechanics. A. Solids
20 Nonlinear Analysis. Theory, Methods & Applications
19 Applied Mathematics and Optimization
19 Science in China. Series A
19 Computational Optimization and Applications
19 Science China. 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
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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)
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89 Statistical mechanics, structure of matter (82-XX)
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71 Probability theory and stochastic processes (60-XX)
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3 Algebraic geometry (14-XX)
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3 General topology (54-XX)
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1 Mathematical logic and foundations (03-XX)
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1 Mathematics education (97-XX)

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