Compute Distance To:
 Documents Indexed: 62 Publications since 1973, including 2 Books 6 Contributions as Editor · 2 Further Contributions Reviewing Activity: 202 Reviews Co-Authors: 34 Co-Authors with 49 Joint Publications 546 Co-Co-Authors
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### Co-Authors

 20 single-authored 9 Trouvé, Pascal 7 Ciarlet, Philippe Gaston 6 Ducatel, Yves 5 Haenel, Christophe 5 Lene, Francoise 4 Boisserie, Jean-Marie 4 Lalanne, Bernard 3 Cornuault, Christian 3 Hu, Jianwei 3 Mato Eiroa, Pilar 3 Oden, John Tinsley 3 Stolz, Claude 2 Cubier, Annie 2 Laug, Patrick 2 Ohayon, Roger 2 Vidrascu, Marina 1 Artola, Michel 1 Bénilan, Philippe 1 Carey, Graham Francis 1 Cessenat, Michel 1 Christel, P. 1 Crolet, Jean-Marie 1 Dautray, Robert 1 De Roeck, Yann-Hervé 1 Delfour, Michel Claude 1 Fayolle, Séverine 1 George, Paul Louis 1 Glowinski, Roland 1 Gorez, J. P. 1 Hassan, Kamal-Eldin 1 Hassim, A. 1 He, Song 1 Kail, Renaud 1 Kikuchi, Noboru 1 Le Tallec, Patrick 1 Lions, Jacques-Louis 1 Miara, Bernadette 1 Nédélec, Jean-Claude 1 Needleman, Alan 1 Ortegón Gallego, Francisco 1 Phayon, R. 1 Pires, E. B. 1 Planchard, Jacques 1 Saltel, Eric 1 Scheurer, Bruno 1 Steer, Danièle A. 1 Touzot, Gilbert 1 Tvergaard, Viggo 1 Viaño, Juan Manuel
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### Serials

 10 Computer Methods in Applied Mechanics and Engineering 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Computational Mechanics 3 Comptes Rendus de l’Académie des Sciences. Série I 2 Numerische Mathematik 2 Journal of Elasticity 2 Bericht. Universität Jyväskylä. Mathematisches Institut 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 RAIRO. Analyse Numérique 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Matemática Aplicada e Computacional 1 Matapli 1 Boletín de la Sociedad Española de Matemática Aplicada. S$$\vec{\text{e}}$$MA
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### Fields

 65 Mechanics of deformable solids (74-XX) 27 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 5 General and overarching topics; collections (00-XX) 3 Fluid mechanics (76-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

44 Publications have been cited 355 times in 220 Documents Cited by Year
Existence theorems for two-dimensional linear shell theories. Zbl 0808.73045
Bernadou, M.; Ciarlet, P. G.; Miara, B.
1994
Sur l’ellipticite du modèle linéaire de coques de W. T. Koiter. Zbl 0356.73066
1976
Finite element methods for thin shell problems. Transl. from the French by Claude Andrew James. Zbl 0843.73002
1996
Numerical analysis of junctions between plates. Zbl 0687.73068
Bernadou, Michel; Fayolle, Séverine; Léné, Françoise
1989
The finite element method in thin shell theory: application to arch dam simulations. Zbl 0497.73069
1982
Approximation of general arch problems by straight beam elements. Zbl 0508.73069
1982
Basis functions for general Hsieh-Clough-Tocher triangles, complete or reduced. Zbl 0478.73050
1981
Finite elements. Special problems in solid mechanics. Zbl 0535.73050
Oden, J. Tinsley; Carey, Graham F.
1984
An existence theorem for a class of nonlinear shallow shell problems. Zbl 0424.35040
1981
Convergence of conforming finite element methods for general shell problems. Zbl 0429.73084
1980
$${\mathcal C}^ 1$$-curved finite elements with numerical integration for thin plate and thin shell problems. II: Approximation of thin plate and thin shell problems. Zbl 0767.73067
1993
Numerical analysis of junctions between thin shells. I: Continuous problems. Zbl 0943.74038
1998
$${\mathcal C}^ 1$$-curved finite elements with numerical integration for thin plate and thin shell problems. I: Construction and interpolation properties of curved $${\mathcal C}^ 1$$ finite elements. Zbl 0767.73066
1993
Modelization and numerical approximation of piezoelectric thin shells. I: The continuous problems. Zbl 1052.74035
2003
Numerical analysis of junctions between thin shells. II: Approximation by finite element methods. Zbl 0943.74039
1998
Approximation of general shell problems by flat plate elements. I. Zbl 0698.73050
Bernadou, M.; Trouvé, P.; Ducatel, Y.
1989
Approximation of a circular cylindrical shell by Clough-Johnson flat plate finite elements. Zbl 0562.73067
Bernadou, M.; Ducatel, Y.; Trouvé, P.
1988
Approximation of general shell problems by flat plate elements. II: Addition of a drilling degree of freedom. Zbl 0737.73083
1990
Modelization and numerical approximation of piezoelectric thin shells. II: Approximation by finite element methods and numerical experiments. Zbl 1052.74036
2003
Curved finite elements of class $$C^ 1$$: Implementation and numerical experiments. I: Construction and numerical tests of the interpolation properties. Zbl 0783.73065
1993
On the convergence of a discrete Kirchhoff triangle method valid for shells of arbitrary shape. Zbl 0924.73214
Bernadou, Michel; Mato Eiroa, Pilar; Trouvé, Pascal
1994
Approximation of general shell problems by flat plate elements. III: Extension to triangular curved facet elements. Zbl 0737.73084
1990
Mathematical analysis and numerical methods for science and technology. Volume 4: Integral equations and numerical methods. With the collaboration of Michel Artola, Philippe Bénilan, Michel Bernadou, Michel Cessenat, Jean-Claude Nédélec, Jacques Planchard, Bruno Scheurer. Transl. from the French by John C. Amson. 2nd printing. Zbl 0951.74001
Dautray, Robert; Lions, Jacques-Louis
2000
Prise en compte de l’intégration numérique dans les méthodes d’éléments finis pour les problèmes de coques. Zbl 0355.65082
1977
On the convergence of the semi-discrete incremental method in nonlinear, three-dimensional elasticity. Zbl 0551.73019
Bernadou, Michel; Ciarlet, Philippe G.; Hu, Jianwei
1984
MODULEF. A modular library of finite elements. Zbl 0654.73001
1986
$$\mathcal C^ 1$$-curved finite elements and applications to plate and shell problems. Zbl 0805.73060
1994
On the computation of an arch dam by the thin shell theory and finite element method. Zbl 0451.73083
1980
Approximation de problèmes généraux de coques minces par un assemblage de facettes planes. (Approximation of general thin shell problems by an assemblage of flat facets). Zbl 0624.73064
1987
Modulef: An open finite element library. Zbl 0594.65080
Bernadou, M.; Hassim, A.; Laug, P.; Steer, D.; Vidrascu, M.; Saltel, E.
1986
On the approximation of general linear thin shell problems by D.K.T. methods. Zbl 0757.73049
Bernadou, M.; Mato Eiroa, P.; Trouvé, P.
1991
Numerical analysis of piezoelectric shells. Zbl 0958.74020
1999
Straight and curved finite elements of class $$C^ 1$$ and some applications to thin shell problems. Zbl 0809.73062
1994
Méthodes d’éléments finis avec intégration numérique pour des problèmes elliptiques du quatrieme ordre. Zbl 0377.65060
1978
Modelization and numerical approximation of piezoelectric thin shells. III: From the patches to the active structures. Zbl 1052.74037
2003
On the numerical analysis of thin shell problems. Zbl 0508.73068
1982
On the approximation of free vibration modes of a general thin shell application to turbine blades. Zbl 0706.73051
1990
Error analysis of a finite element method of D.K.T. type for linear problems of thin sheets. Zbl 0718.73078
Bernadou, M.; Mato Eiroa, P.; Trouvé, P.
1989
Shells. Mathematical modelling and scientific computing. Papers from the international conference, Santiago de Compostela, Spain, July 14–18, 1997. Zbl 0957.00048
1997
Étude de la convergence de méthodes d’approximation de coques minces générales par des assemblages de facettes planes. (Study of the convergence of approximation methods of general thin shells by assemblage of flat facets). Zbl 0624.73065
Bernadou, Michel; Ducatel, Yves; Trouvé, Pascal
1987
Variational formulations and finite element approximations of linear and nonlinear thin shell problems. Zbl 0634.73075
1985
Some examples of practical problems solved by the finite element modular library: MODULEF. Zbl 0587.65077
Bernadou, M.; George, P. L.; Laug, P.; Vidrascu, M.
1985
On the convergence of incremental methods in finite elasticity. Zbl 0609.73046
Bernadou, Michel; Ciarlet, Philippe G.; Hu, Jianwei
1983
On the computation of stresses and free vibration modes in a general thin shell - Application to an arch dam. Zbl 0609.73081
1983
Modelization and numerical approximation of piezoelectric thin shells. I: The continuous problems. Zbl 1052.74035
2003
Modelization and numerical approximation of piezoelectric thin shells. II: Approximation by finite element methods and numerical experiments. Zbl 1052.74036
2003
Modelization and numerical approximation of piezoelectric thin shells. III: From the patches to the active structures. Zbl 1052.74037
2003
Mathematical analysis and numerical methods for science and technology. Volume 4: Integral equations and numerical methods. With the collaboration of Michel Artola, Philippe Bénilan, Michel Bernadou, Michel Cessenat, Jean-Claude Nédélec, Jacques Planchard, Bruno Scheurer. Transl. from the French by John C. Amson. 2nd printing. Zbl 0951.74001
Dautray, Robert; Lions, Jacques-Louis
2000
Numerical analysis of piezoelectric shells. Zbl 0958.74020
1999
Numerical analysis of junctions between thin shells. I: Continuous problems. Zbl 0943.74038
1998
Numerical analysis of junctions between thin shells. II: Approximation by finite element methods. Zbl 0943.74039
1998
Shells. Mathematical modelling and scientific computing. Papers from the international conference, Santiago de Compostela, Spain, July 14–18, 1997. Zbl 0957.00048
1997
Finite element methods for thin shell problems. Transl. from the French by Claude Andrew James. Zbl 0843.73002
1996
Existence theorems for two-dimensional linear shell theories. Zbl 0808.73045
Bernadou, M.; Ciarlet, P. G.; Miara, B.
1994
On the convergence of a discrete Kirchhoff triangle method valid for shells of arbitrary shape. Zbl 0924.73214
Bernadou, Michel; Mato Eiroa, Pilar; Trouvé, Pascal
1994
$$\mathcal C^ 1$$-curved finite elements and applications to plate and shell problems. Zbl 0805.73060
1994
Straight and curved finite elements of class $$C^ 1$$ and some applications to thin shell problems. Zbl 0809.73062
1994
$${\mathcal C}^ 1$$-curved finite elements with numerical integration for thin plate and thin shell problems. II: Approximation of thin plate and thin shell problems. Zbl 0767.73067
1993
$${\mathcal C}^ 1$$-curved finite elements with numerical integration for thin plate and thin shell problems. I: Construction and interpolation properties of curved $${\mathcal C}^ 1$$ finite elements. Zbl 0767.73066
1993
Curved finite elements of class $$C^ 1$$: Implementation and numerical experiments. I: Construction and numerical tests of the interpolation properties. Zbl 0783.73065
1993
On the approximation of general linear thin shell problems by D.K.T. methods. Zbl 0757.73049
Bernadou, M.; Mato Eiroa, P.; Trouvé, P.
1991
Approximation of general shell problems by flat plate elements. II: Addition of a drilling degree of freedom. Zbl 0737.73083
1990
Approximation of general shell problems by flat plate elements. III: Extension to triangular curved facet elements. Zbl 0737.73084
1990
On the approximation of free vibration modes of a general thin shell application to turbine blades. Zbl 0706.73051
1990
Numerical analysis of junctions between plates. Zbl 0687.73068
Bernadou, Michel; Fayolle, Séverine; Léné, Françoise
1989
Approximation of general shell problems by flat plate elements. I. Zbl 0698.73050
Bernadou, M.; Trouvé, P.; Ducatel, Y.
1989
Error analysis of a finite element method of D.K.T. type for linear problems of thin sheets. Zbl 0718.73078
Bernadou, M.; Mato Eiroa, P.; Trouvé, P.
1989
Approximation of a circular cylindrical shell by Clough-Johnson flat plate finite elements. Zbl 0562.73067
Bernadou, M.; Ducatel, Y.; Trouvé, P.
1988
Approximation de problèmes généraux de coques minces par un assemblage de facettes planes. (Approximation of general thin shell problems by an assemblage of flat facets). Zbl 0624.73064
1987
Étude de la convergence de méthodes d’approximation de coques minces générales par des assemblages de facettes planes. (Study of the convergence of approximation methods of general thin shells by assemblage of flat facets). Zbl 0624.73065
Bernadou, Michel; Ducatel, Yves; Trouvé, Pascal
1987
MODULEF. A modular library of finite elements. Zbl 0654.73001
1986
Modulef: An open finite element library. Zbl 0594.65080
Bernadou, M.; Hassim, A.; Laug, P.; Steer, D.; Vidrascu, M.; Saltel, E.
1986
Variational formulations and finite element approximations of linear and nonlinear thin shell problems. Zbl 0634.73075
1985
Some examples of practical problems solved by the finite element modular library: MODULEF. Zbl 0587.65077
Bernadou, M.; George, P. L.; Laug, P.; Vidrascu, M.
1985
Finite elements. Special problems in solid mechanics. Zbl 0535.73050
Oden, J. Tinsley; Carey, Graham F.
1984
On the convergence of the semi-discrete incremental method in nonlinear, three-dimensional elasticity. Zbl 0551.73019
Bernadou, Michel; Ciarlet, Philippe G.; Hu, Jianwei
1984
On the convergence of incremental methods in finite elasticity. Zbl 0609.73046
Bernadou, Michel; Ciarlet, Philippe G.; Hu, Jianwei
1983
On the computation of stresses and free vibration modes in a general thin shell - Application to an arch dam. Zbl 0609.73081
1983
The finite element method in thin shell theory: application to arch dam simulations. Zbl 0497.73069
1982
Approximation of general arch problems by straight beam elements. Zbl 0508.73069
1982
On the numerical analysis of thin shell problems. Zbl 0508.73068
1982
Basis functions for general Hsieh-Clough-Tocher triangles, complete or reduced. Zbl 0478.73050
1981
An existence theorem for a class of nonlinear shallow shell problems. Zbl 0424.35040
1981
Convergence of conforming finite element methods for general shell problems. Zbl 0429.73084
1980
On the computation of an arch dam by the thin shell theory and finite element method. Zbl 0451.73083
1980
Méthodes d’éléments finis avec intégration numérique pour des problèmes elliptiques du quatrieme ordre. Zbl 0377.65060
1978
Prise en compte de l’intégration numérique dans les méthodes d’éléments finis pour les problèmes de coques. Zbl 0355.65082
1977
Sur l’ellipticite du modèle linéaire de coques de W. T. Koiter. Zbl 0356.73066
1976
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### Cited by 280 Authors

 27 Ciarlet, Philippe Gaston 19 Bernadou, Michel 9 Mardare, Cristinel 7 Iosifescu, Oana 7 Shen, Xiaoqin 6 Destuynder, Philippe 6 Huang, Jianguo 6 Lasiecka, Irena 6 Lods, Véronique 6 Trouvé, Pascal 5 Aouadi, Saloua Mani 5 de Figueiredo, Isabel Maria Narra 5 Piersanti, Paolo 5 Salaun, Michel 4 Chenais, Denise 4 Gratie, Liliana 4 Lebiedzik, Catherine Geraldine 4 Miara, Bernadette 4 Nzengwa, Robert 4 Shi, Zhongci 3 Cagnol, John 3 Chapelle, Dominique 3 Chen, Hongbin 3 Ducatel, Yves 3 El Alami El Ferricha, Mohammed 3 Haenel, Christophe 3 Klinkel, Sven 3 Mackerle, Jaroslav 3 Marchand, Richard J. 3 Münch, Arnaud 3 Polit, Olivier 3 Wagner, Werner 3 Yang, Qian 2 Akian, Jean-Luc 2 Anyi, Joseph Nkongho 2 Arregui, Iñigo A. 2 Béchet, Fabien 2 Beirão da Veiga, Lourenço 2 Benlemlih, A. 2 Blouza, Adel 2 Boisserie, Jean-Marie 2 Cai, Li 2 Cubier, Annie 2 Ferchichi, Hanen 2 Fox, David D. 2 Gao, Qing 2 Genevey, Karine 2 Guo, Ling 2 Habbal, Abderrahmane 2 Kerdid, Nabil 2 Lai, Junjiang 2 Le Dret, Hervé 2 Le Tallec, Patrick 2 Lebedev, Leonid Petrovich 2 Legner, Dieter 2 Li, Likang 2 Li, Linjin 2 Lutoborski, Adam 2 Martínez, Rebeca 2 Mato Eiroa, Pilar 2 Pitkäranta, Juhani 2 Rodríguez-Arós, Ángel D. 2 Serpilli, Michele 2 Simo, Juan Carlos 2 Touratier, Maurice 2 Xu, Da 2 Xue, Yongjie 2 Zhang, Sheng 1 Abbe Ngayihi, Claude Valery 1 Actis, Ricardo L. 1 Aganović, Ibrahim 1 Agouzal, Abdellatif 1 Ainsworth, Mark 1 Alduncin, Gonzalo 1 Amba, Jean Chills 1 Amini, A. Mobasher 1 Andrianov, Igor V. 1 Anicic, Sylvia 1 Antil, Harbir 1 Armero, Francisco 1 Athanassoulis, Gerassimos A. 1 Aufranc, Martial 1 Ayad, Rezak 1 Bai, Lin 1 Bajaj, Chandrajit L. 1 Bathe, Klaus-Jürgen 1 Belibassakis, Konstadinos A. 1 Bělík, Pavel 1 Ben Belgacem, Faker 1 Ben Zineb, Tarak 1 Benjeddou, Ayech 1 Bernardi, Christine 1 Besse, Nicolas 1 Bessoud, Anne Laure 1 Bhattacharyya, Pulin Kumar 1 Bischoff, Dieter Ernst 1 Blaga, Petru P. 1 Blanco, Pablo Javier 1 Bouclier, Robin 1 Bourquin, Frédéric ...and 180 more Authors
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### Cited in 72 Serials

 41 Computer Methods in Applied Mechanics and Engineering 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Journal of Elasticity 9 Numerische Mathematik 9 RAIRO. Modélisation Mathématique et Analyse Numérique 8 International Journal for Numerical Methods in Engineering 8 Mathematics and Mechanics of Solids 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Applied Numerical Mathematics 4 Archive for Rational Mechanics and Analysis 4 Computational Mechanics 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Engineering Computations 3 Applicable Analysis 3 Computers & Mathematics with Applications 3 International Journal of Engineering Science 3 Journal of Computational Physics 3 Mathematics of Computation 3 Applied Mathematics and Computation 3 Analysis and Applications (Singapore) 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Mathematical Analysis and Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Optimization 2 Calcolo 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Computer Aided Geometric Design 2 Acta Mathematicae Applicatae Sinica. English Series 2 Science in China. Series A 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Mathematical Problems in Engineering 2 European Journal of Mechanics. A. Solids 2 Nonlinear Analysis. Theory, Methods & Applications 1 International Journal of Solids and Structures 1 Mathematical Methods in the Applied Sciences 1 Transport Theory and Statistical Physics 1 Aplikace Matematiky 1 Computing 1 Journal of Differential Equations 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 RAIRO. Analyse Numérique 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Numerical Methods for Partial Differential Equations 1 Applications of Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications in Nonlinear Science and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Journal of Applied Mathematics 1 Structural and Multidisciplinary Optimization 1 Mediterranean Journal of Mathematics 1 Journal of Computational Acoustics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of Elliptic and Parabolic Equations 1 SMAI Journal of Computational Mathematics
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### Cited in 21 Fields

 191 Mechanics of deformable solids (74-XX) 56 Numerical analysis (65-XX) 42 Partial differential equations (35-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Differential geometry (53-XX) 11 Fluid mechanics (76-XX) 7 Systems theory; control (93-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Optics, electromagnetic theory (78-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)