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Ciarlet, Philippe Gaston

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Author ID: ciarlet.philippe-g Recent zbMATH articles by "Ciarlet, Philippe Gaston"
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
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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 Bonnet-Ben Dhia, Anne-Sophie
1 Bony, Jean-Michel
1 Brezinski, Claude
1 Bunoiu, Renata
1 Chesnel, Lucas
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.
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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
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 Journal of Computational Physics
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

Publications by Year

Citations contained in zbMATH Open

234 Publications have been cited 9,377 times in 7,089 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.
660
1988
The finite element methods for elliptic problems. Repr., unabridged republ. of the orig. 1978. Zbl 0999.65129
Ciarlet, Philippe G.
408
2002
Basic error estimates for elliptic problems. Zbl 0875.65086
Ciarlet, P. G.
362
1991
Maximum principle and uniform convergence for the finite element method. Zbl 0251.65069
Ciarlet, P. G.; Raviart, P.-A.
224
1973
General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods. Zbl 0243.41004
Ciarlet, P. G.; Raviart, P. A.
205
1972
A justification of the two-dimensional linear plate model. Zbl 0415.73072
Ciarlet, P. G.; Destuynder, P.
197
1979
Mathematical elasticity. Vol. 2: Theory of plates. Zbl 0888.73001
Ciarlet, Philippe G.
174
1997
Linear and nonlinear functional analysis with applications. With 401 problems and 52 figures. Zbl 1293.46001
Ciarlet, Philippe G.
133
2013
Plates and junctions in elastic multi-structures. An asymptotic analysis. Zbl 0706.73046
Ciarlet, P. G.
129
1990
Mathematical elasticity. Vol. 3: Theory of shells. Zbl 0953.74004
Ciarlet, Philippe G.
120
2000
Discrete maximum principle for finite-difference operators. Zbl 0198.14601
Ciarlet, P. G.
119
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.
114
1967
Interpolation theory over curved elements, with applications to finite element methods. Zbl 0261.65079
Ciarlet, 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 1100.53004
Ciarlet, Philippe G.
97
2005
A mixed finite element method for the biharmonic equation. Zbl 0337.65058
Ciarlet, P. G.; Raviart, P. A.
94
1974
Finite element methods (Part 1). Zbl 0712.65091
92
1991
A justification of a nonlinear model in plate theory. Zbl 0405.73050
Ciarlet, Philippe G.; Destuynder, Phillipe
90
1979
Injectivity and self-contact in nonlinear elasticity. Zbl 0628.73043
Ciarlet, Philippe G.; Nečas, Jindřich
89
1987
A justification of the von Kármán equations. Zbl 0443.73034
Ciarlet, Philippe G.
87
1980
Les equations de von Kármán. Zbl 0433.73019
Ciarlet, Philippe G.; Rabier, Patrick
84
1980
The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. Zbl 0262.65070
Ciarlet, P. G.; Raviart, P.-A.
84
1972
Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations. Zbl 0887.73038
Ciarlet, Philippe G.; Lods, Véronique
70
1996
Introduction à l’analyse numérique matricielle et à l’optimisation. Zbl 0488.65001
Ciarlet, P. G.
66
1982
Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
65
2005
Existence theorems for two-dimensional linear shell theories. Zbl 0808.73045
Bernadou, M.; Ciarlet, P. G.; Miara, B.
64
1994
The finite element method for elliptic problems. 1st repr. (paperback). Zbl 0511.65078
Ciarlet, Philippe G.
52
1980
Sur les lois de comportement en élasticité non linéaire compressible. Zbl 0497.73017
Ciarlet, Philippe G.; Geymonat, Giuseppe
51
1982
Numerical methods of high-order accuracy for nonlinear boundary value problems. V: Monotone operator theory. Zbl 0181.18603
Ciarlet, P. G.; Schultz, M. H.; Varga, R. S.
51
1969
Sur l’ellipticite du modèle linéaire de coques de W. T. Koiter. Zbl 0356.73066
Bernadou, M.; Ciarlet, P. G.
49
1976
Asymptotic analysis of linearly elastic shells. III: Justification of Koiter’s shell equations. Zbl 0887.73040
Ciarlet, Philippe G.; Lods, Véronique
49
1996
Junctions between three-dimensional and two-dimensional linear elastic structures. Zbl 0661.73013
Ciarlet, Philippe G.; Le Dret, Hervé; Nzengwa, Robert
46
1989
Asymptotic analysis of linearly elastic shells. II: Justification of flexural shell equations. Zbl 0887.73039
Ciarlet, Philippe G.; Lods, Véronique; Miara, Bernadette
46
1996
Numerical methods of high-order accuracy for singular nonlinear boundary value problems. Zbl 0211.19103
Ciarlet, P. G.; Natterer, F.; Varga, R. S.
45
1970
Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory. Zbl 0489.73057
Ciarlet, P. G.; Kesavan, S.
42
1981
On the characterizations of matrix fields as linearized strain tensor fields. Zbl 1115.35131
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
42
2006
An introduction to differential geometry with applications to elasticity. Zbl 1086.74001
Ciarlet, Philippe G.
41
2005
A justification of the Marguerre-von Kármán equations. Zbl 0633.73069
Ciarlet, P. G.; Paumier, J.-C.
41
1986
Introduction to linear shell theory. Zbl 0912.73001
Ciarlet, Philippe G.
39
1998
Unilateral problems in nonlinear three-dimensional elasticity. Zbl 0557.73009
Ciarlet, Philippe G.; Nečas, Jindřich
32
1985
Conforming and nonconforming finite element methods for solving the plate problem. Zbl 0285.65072
Ciarlet, P. G.
31
1974
On Korn’s inequality. Zbl 1200.49039
Ciarlet, Philippe G.
31
2010
Asymptotic analysis of linearly elastic shells: ‘Generalized membrane shells’. Zbl 0891.73044
Ciarlet, Philippe G.; Lods, Véronique
31
1996
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
Justification of the two-dimensional equations of a linearly elastic shallow shell. Zbl 0769.73050
Ciarlet, P. G.; Miara, B.
26
1992
Recovery of a manifold with boundary and its continuity as a function of its metric tensor. Zbl 1088.74014
Ciarlet, Philippe G.; Mardare, Cristinel
26
2004
Lectures on three-dimensional elasticity. Notes by S. Kesavan. Zbl 0542.73046
Ciarlet, P. G.
25
1983
Elasticité tridimensionnelle. Zbl 0572.73027
Ciarlet, P. G.
25
1986
On the ellipticity of linear membrane shell equations. Zbl 0870.73037
Ciarlet, P.-G.; Lods, V.
25
1996
Dual iterative techniques for solving a finite element approximation of the biharmonic equation. Zbl 0305.65068
Ciarlet, P. G.; Glowinski, R.
25
1975
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
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.
20
1971
Existence theorems in intrinsic nonlinear elasticity. Zbl 1273.74101
Ciarlet, Philippe G.; Mardare, Cristinel
19
2010
On the use of perfectly matched layers at corners for scattering problems with sign-changing coefficients. Zbl 1351.78035
Bonnet-Ben Dhia, A.-S.; Carvalho, C.; Chesnel, L.; Ciarlet, P.
19
2016
Continuity of a deformation as a function of its Cauchy-Green tensor. Zbl 1030.74003
Ciarlet, Philippe G.; Laurent, Florian
18
2003
\(\Gamma\)-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
17
1992
An existence and uniqueness theorem for the two-dimensional linear membrane shell equations. Zbl 0856.73038
Ciarlet, P. G.; Sanchez-Palencia, E.
17
1996
Sur l’élément de Clough et Tocher. Zbl 0306.65070
Ciarlet, P. G.
17
1974
Nonlinear Korn inequalities. Zbl 1337.35144
Ciarlet, Philippe G.; Mardare, Cristinel
17
2015
On questions of existence in shell theory. Zbl 0436.73081
Ciarlet, P. G.
16
1976
Intrinsic methods in elasticity: a mathematical survey. Zbl 1156.74007
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel
16
2009
On rigid and infinitesimal rigid displacements in shell theory. Zbl 1050.74030
Ciarlet, Philippe G.; Mardare, Cristinel
16
2004
Intrinsic formulation of the displacement-traction problem in linearized elasticity. Zbl 1291.74076
Ciarlet, Philippe G.; Mardare, Cristinel
16
2014
On a lemma of Jacques-Louis Lions and its relation to other fundamental results. Zbl 1344.46027
Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel
16
2015
The continuity of a surface as a function of its two fundamental forms. Zbl 1042.53003
Ciarlet, Philippe G.
15
2003
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
15
2005
Interpolation error estimates for the reduced Hsieh-Clough-Tocher triangle. Zbl 0378.65010
Ciarlet, Philippe G.
15
1978
A nonlinear Korn inequality on a surface. Zbl 1094.53001
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel
14
2006
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
Characterization of the kernel of the operator CURL CURL. Zbl 1112.35044
Ciarlet, Philippe G.; Ciarlet, Patrick jun.; Geymonat, Giuseppe; Françoise, Krasucki
14
2007
A new duality approach to elasticity. Zbl 1242.49072
Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise
14
2012
Justification of a two-dimensional nonlinear shell model of Koiter’s type. Zbl 0980.35159
Ciarlet, P. G.; Roquefort, A.
14
2001
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
13
2018
Finite difference methods (Part 1). Solution of equations in \(R^ n\) (Part 1). Zbl 0689.65001
13
1990
Recent progress in the two-dimensional approximation of three-dimensional plate models in nonlinear elasticity. Zbl 0612.73060
Ciarlet, Philippe G.
13
1987
Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
13
2009
On rigid and infinitesimal rigid displacements in three-dimensional elasticity. Zbl 1055.74006
Ciarlet, Philippe G.; Mardare, Cristinel
13
2003
Modeling and justification of eigenvalue problems for junctions between elastic structures. Zbl 0699.73010
Bourquin, F.; Ciarlet, P. G.
12
1989
Discrete variational Green’s function. Zbl 0245.34012
Ciarlet, P. G.; Varga, R. S.
12
1970
Lectures on the finite element method. Notes by S. Kesavan, Akhil Ranjan, M. Vanninathan. Zbl 0353.73067
Ciarlet, Philippe G.
12
1975
An obstacle problem for elliptic membrane shells. Zbl 1440.74205
Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo
11
2019
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
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 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
11
2019
An \(O(h^ 2)\) method for a non-smooth boundary value problem. Zbl 0159.11703
Ciarlet, P. G.
11
1968
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
Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1286.49053
Ciarlet, Philippe G.; Mardare, Sorin
10
2013
An existence theorem for nonlinearly elastic ‘flexural’ shells. Zbl 0929.74067
Ciarlet, Philippe G.; Coutand, Daniel
10
1998
From the classical to the generalized von Kármán and Marguerre–von Kármán equations. Zbl 1085.74031
Ciarlet, Philippe G.; Gratie, Liliana
9
2006
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
9
2016
Vector and scalar potentials, Poincaré’s theorem and Korn’s inequality. Zbl 1135.35007
Amrouche, Chérif; Ciarlet, Philippe G.; Ciarlet, Patrick jun.
9
2007
On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
9
2006
A new approach to linear shell theory. Zbl 1135.74027
Ciarlet, Philippe G.; Gratie, Liliana
9
2005
Discrete variational Green’s function. I. Zbl 0194.12703
Ciarlet, Philippe G.
9
1970
Continuity in Fréchet topologies of a surface as a function of its fundamental forms. Zbl 1447.53011
Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel
2
2020
An obstacle problem for elliptic membrane shells. Zbl 1440.74205
Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo
11
2019
A confinement problem for a linearly elastic Koiter’s shell. (Un problème de confinement pour une coque de Koiter linéairement élastique.) Zbl 1409.74029
Ciarlet, Philippe G.; Piersanti, Paolo
11
2019
An obstacle problem for Koiter’s shells. Zbl 07273353
Ciarlet, Philippe G.; Piersanti, Paolo
6
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
4
2019
New estimates of the distance between two surfaces in terms of the distance between their fundamental forms. Zbl 1475.53014
Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel
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 1405.74024
Ciarlet, Philippe G.; Mardare, Cristinel
2
2019
The intrinsic theory of linearly elastic plates. Zbl 1442.74114
Ciarlet, 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 1402.74067
Ciarlet, Philippe G.; Mardare, Cristinel; Piersanti, Paolo
13
2018
A nonlinear shell model of Koiter’s type. (Un modèle non linéaire de coques de type Koiter.) Zbl 1387.74075
Ciarlet, Philippe G.; Mardare, Cristinel
8
2018
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 existence theorem for a two-dimensional nonlinear shell model of Koiter’s type. Zbl 1411.74017
Ciarlet, Philippe G.; Mardare, Cristinel
4
2018
An intrinsic formulation of the Kirchhoff-love theory of linearly elastic plates. Zbl 1394.53004
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
On the use of perfectly matched layers at corners for scattering problems with sign-changing coefficients. Zbl 1351.78035
Bonnet-Ben Dhia, A.-S.; Carvalho, C.; Chesnel, L.; Ciarlet, P.
19
2016
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
9
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.
6
2016
A mathematical model of Koiter’s type for a nonlinearly elastic “almost spherical” shell. (Un modèle mathématique du type de Koiter pour une coque non linéairement élastique “presque sphérique”.) Zbl 1349.74250
Ciarlet, Philippe G.; Mardare, Cristinel
4
2016
On 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
17
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
16
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
5
2015
Nonlinear Korn inequalities in \(\mathbb R^n\), with or without boundary conditions. (Inégalités de Korn non linéaires dans \(\mathbb R^n\), avec ou sans conditions aux limites.) Zbl 1320.35011
Ciarlet, Philippe G.; Mardare, Cristinel
4
2015
A nonlinear Korn inequality in \(W^{2,p}\), \(p>n\). (Une inégalité de Korn non linéaire dans \(W^{2,p}\), \(p>n\).) Zbl 1329.35018
Ciarlet, Philippe G.; Mardare, Sorin
2
2015
Intrinsic formulation of the displacement-traction problem in linearized elasticity. Zbl 1291.74076
Ciarlet, Philippe G.; Mardare, Cristinel
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
4
2014
Remarks on a lemma by Jacques-Louis Lions. (Ramarques sur un lemme de Jacques-Louis Lions.) Zbl 1304.35025
Amrouche, Chérif; Ciarlet, Philippe G.; Mardare, Cristinel
3
2014
Linear and nonlinear functional analysis with applications. With 401 problems and 52 figures. Zbl 1293.46001
Ciarlet, Philippe G.
133
2013
Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. Zbl 1286.49053
Ciarlet, Philippe G.; Mardare, Sorin
10
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
4
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
Expression of Dirichlet boundary conditions in terms of the Cauchy-Green tensor field. Zbl 1465.74024
Ciarlet, Philippe G.; Mardare, Cristinel
1
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
A new duality approach to elasticity. Zbl 1242.49072
Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise
14
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
7
2011
A Poincaré inequality in a Sobolev space with a variable exponent. Zbl 1305.46026
Ciarlet, Philippe G.; Dinca, George
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 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.
31
2010
Existence theorems in intrinsic nonlinear elasticity. Zbl 1273.74101
Ciarlet, 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 1190.49004
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
16
2009
Direct computation of stresses in planar linearized elasticity. Zbl 1169.49035
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
13
2009
Cesàro-Volterra path integral formula on a surface. Zbl 1173.53004
Ciarlet, Philippe G.; Gratie, Liliana; Serpilli, Michele
4
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
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
6
2008
A new approach for approximating linear elasticity problems. Zbl 1134.74049
Ciarlet, Philippe G.; Ciarlet jun., Patrick
2
2008
Justification of the Darboux-Vallée-Fortuné compatibility relation in the theory of surfaces. Zbl 1153.53005
Ciarlet, Philippe G.; Iosifescu, Oana
2
2008
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
14
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
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
42
2006
A nonlinear Korn inequality on a surface. Zbl 1094.53001
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel
14
2006
From the classical to the generalized von Kármán and Marguerre–von Kármán equations. Zbl 1085.74031
Ciarlet, Philippe G.; Gratie, Liliana
9
2006
On Saint Venant’s compatibility conditions and Poincaré’s lemma. Zbl 1138.74005
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan
9
2006
On the existence of solutions to the generalized Marguerre-von Kármán equations. Zbl 1092.74025
Ciarlet, Philippe G.; Gratie, Liliana
8
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
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
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.
97
2005
Another approach to linearized elasticity and a new proof of Korn’s inequality. Zbl 1084.74006
Ciarlet, Philippe G.; Ciarlet, Patrick jun.
65
2005
An introduction to differential geometry with applications to elasticity. Zbl 1086.74001
Ciarlet, Philippe G.
41
2005
Recovery of a surface with boundary and its continuity as a function of its two fundamental forms. Zbl 1083.53007
Ciarlet, Philippe G.; Mardare, Christinel
15
2005
A new approach to linear shell theory. Zbl 1135.74027
Ciarlet, Philippe G.; Gratie, Liliana
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
26
2004
Continuity of a deformation in \(H^{1}\) as a function of its Cauchy-Green tensor in \(L^{1}\). Zbl 1084.53063
Ciarlet, P. G.; Mardare, C.
20
2004
On rigid and infinitesimal rigid displacements in shell theory. Zbl 1050.74030
Ciarlet, Philippe G.; Mardare, Cristinel
16
2004
Another approach to linearized elasticity and Korn’s inequality. Zbl 1063.74009
Ciarlet, 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 1183.74008
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
18
2003
...and 134 more Documents
all top 5

Cited by 6,299 Authors

137 Ciarlet, Philippe Gaston
68 Mardare, Cristinel
57 Brenner, Susanne Cecelia
52 He, Yinnian
46 Fernández, Jose Ramon
46 Shi, Dongyang
44 Carstensen, Carsten
44 Gatica, Gabriel N.
44 Han, Weimin
41 Nicaise, Serge
38 Shi, Zhongci
35 Korotov, Sergey
35 Neff, Patrizio
34 Chen, Shaochun
34 Li, Jian
33 Křížek, Michal
33 Luo, Zhendong
32 Nochetto, Ricardo Horacio
29 Girault, Vivette
28 Shu, Chi-Wang
28 Xu, Jinchao
27 Babuška, Ivo
27 Mao, Shipeng
27 Yang, Yidu
26 Abdulle, Assyr
26 Baccouch, Mahboub
26 Chen, Zhangxin
26 Gratie, Liliana
26 Neilan, Michael
25 Brezzi, Franco
25 Duan, Huoyuan
25 Xu, Xuejun
25 Zhang, Zhimin
24 Huang, Jianguo
24 Nataraj, Neela
24 Xie, Hehu
24 Yan, Ningning
24 Zhou, Aihui
23 Gunzburger, Max D.
23 Li, Hong
23 Nazarov, Sergeĭ Aleksandrovich
23 Quarteroni, Alfio M.
23 Viaño, Juan Manuel
22 Beirão da Veiga, Lourenço
22 Gudi, Thirupathi
22 John, Volker
22 Tambača, Josip
22 Zhang, Shangyou
21 Ciarlet, Patrick jun.
21 Feng, Xiaobing
21 Hlaváček, Ivan
21 Hughes, Thomas J. R.
21 Novo, Julia
20 Bernadou, Michel
20 Oden, John Tinsley
20 Salgado, Abner J.
19 Gaudiello, Antonio
19 Glowinski, Roland
19 Otárola, Enrique
19 Rui, Hongxing
18 Feistauer, Miloslav
18 Feng, Xinlong
18 Huang, Xuehai
18 Liu, Steve Wenbin
18 Marini, Luisa Donatella
18 Neittaanmäki, Pekka J.
18 Schwab, Christoph
18 Steigmann, David J.
18 Yang, Danping
18 Zou, Jun
17 Bi, Hai
17 Chen, Jinru
17 Chen, Yanping
17 Destuynder, Philippe
17 Herbin, Raphaèle
17 Huang, Yunqing
17 Ming, Pingbing
17 Nakao, Mitsuhiro T.
17 Rodríguez-Arós, Ángel D.
16 Bramble, James H.
16 Geymonat, Giuseppe
16 Griso, Georges
16 Haslinger, Jaroslav
16 Kružík, Martin
16 Li, Zhiping
16 Lin, Qun
16 Lin, Yanping
16 Lovadina, Carlo
16 Oh, Hae-Soo
16 Onninen, Jani
16 Pani, Amiya Kumar
16 Wang, Junping
16 Ženíšek, Alexander
15 Barrett, John William
15 Ben Belgacem, Faker
15 Boulbrachene, Messaoud
15 Hild, Patrick
15 Li, Likang
15 Li, Zi-Cai
15 Maday, Yvon
...and 6,199 more Authors
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Cited in 465 Serials

595 Computer Methods in Applied Mechanics and Engineering
442 Numerische Mathematik
356 Journal of Computational and Applied Mathematics
317 Mathematics of Computation
231 Journal of Scientific Computing
216 Computers & Mathematics with Applications
187 Applied Mathematics and Computation
187 Applied Numerical Mathematics
151 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
143 Journal of Elasticity
130 Comptes Rendus. Mathématique. Académie des Sciences, Paris
125 SIAM Journal on Numerical Analysis
117 Journal of Computational Physics
111 RAIRO. Modélisation Mathématique et Analyse Numérique
109 Journal of Mathematical Analysis and Applications
97 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
92 Archive for Rational Mechanics and Analysis
86 Numerical Functional Analysis and Optimization
78 Calcolo
78 Mathematics and Mechanics of Solids
73 Advances in Computational Mathematics
66 RAIRO. Analyse Numérique
63 SIAM Journal on Scientific Computing
59 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
55 Journal de Mathématiques Pures et Appliquées. Neuvième Série
51 Applications of Mathematics
47 Computing
47 Computational Mechanics
46 International Journal of Computer Mathematics
45 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
43 Applicable Analysis
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40 Applied Mathematical Modelling
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35 Computational Methods in Applied Mathematics
34 Analysis and Applications (Singapore)
33 ZAMP. Zeitschrift für angewandte Mathematik und Physik
33 Numerical Methods for Partial Differential Equations
33 Mathematical and Computer Modelling
33 Japan Journal of Industrial and Applied Mathematics
32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
31 Journal of Differential Equations
30 Journal of Approximation Theory
30 Acta Mathematicae Applicatae Sinica. English Series
29 Applied Mathematics and Optimization
29 International Journal for Numerical Methods in Engineering
28 International Journal of Engineering Science
28 Applied Mathematics Letters
28 Calculus of Variations and Partial Differential Equations
27 Advances in Applied Mathematics and Mechanics
26 Acta Mechanica
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25 Journal of Optimization Theory and Applications
25 Linear Algebra and its Applications
24 SIAM Journal on Mathematical Analysis
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23 Chinese Annals of Mathematics. Series B
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20 Continuum Mechanics and Thermodynamics
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19 Science in China. Series A
19 Journal of Nonlinear Science
19 Computational and Applied Mathematics
18 Acta Applicandae Mathematicae
18 Mathematical Problems in Engineering
17 Applied Mathematics. Series B (English Edition)
17 Abstract and Applied Analysis
17 Journal of Applied Mathematics and Computing
17 Multiscale Modeling & Simulation
16 SIAM Journal on Control and Optimization
16 Lobachevskii Journal of Mathematics
16 Nonlinear Analysis. Real World Applications
16 Discrete and Continuous Dynamical Systems. Series B
16 Journal of Numerical Mathematics
16 Discrete and Continuous Dynamical Systems. Series S
15 Annali di Matematica Pura ed Applicata. Serie Quarta
15 Journal of Functional Analysis
14 International Journal of Solids and Structures
14 Journal of Engineering Mathematics
14 Journal of Inequalities and Applications
14 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
14 Journal of Mathematical Fluid Mechanics
14 Foundations of Computational Mathematics
14 Journal of Systems Science and Complexity
14 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
13 Quarterly of Applied Mathematics
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 Boundary Value Problems
12 SMAI Journal of Computational Mathematics
...and 365 more Serials
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Cited in 58 Fields

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146 Operator theory (47-XX)
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