Ciarlet, Philippe G.
Overview
Works:  211 works in 1,037 publications in 7 languages and 11,779 library holdings 

Genres:  Conference papers and proceedings Textbooks Handbooks and manuals 
Roles:  Author, Editor, Thesis advisor, Other, Director 
Classifications:  QA320, 515.7 
Publication Timeline
.
Most widely held works by
Philippe G Ciarlet
Introduction to numerical linear algebra and optimisation by
Philippe G Ciarlet(
Book
)
64 editions published between 1982 and 2006 in 4 languages and held by 1,041 WorldCat member libraries worldwide
64 editions published between 1982 and 2006 in 4 languages and held by 1,041 WorldCat member libraries worldwide
Handbook of numerical analysis by
Philippe G Ciarlet(
Book
)
97 editions published between 1989 and 2011 in English and Undetermined and held by 741 WorldCat member libraries worldwide
Text contains essays covering numerical methods for fluids. Topics include the NavierStokes equations for incompressible viscous fluids, a family of operatorsplitting methods for initial value problems, and iterative solution of the advectiondiffusion subproblems. DLC: Numerical analysis
97 editions published between 1989 and 2011 in English and Undetermined and held by 741 WorldCat member libraries worldwide
Text contains essays covering numerical methods for fluids. Topics include the NavierStokes equations for incompressible viscous fluids, a family of operatorsplitting methods for initial value problems, and iterative solution of the advectiondiffusion subproblems. DLC: Numerical analysis
The finite element method for elliptic problems by
Philippe G Ciarlet(
Book
)
63 editions published between 1977 and 2002 in 3 languages and held by 680 WorldCat member libraries worldwide
The Finite Element Method for Elliptic Problems is the only book available that fully analyzes the mathematical foundations of the finite element method. It is a valuable reference and introduction to current research on the numerical analysis of the finite element method, and also a working textbook for graduate courses in numerical analysis. It includes many useful figures, as well as exercises of varying difficulty. Although nearly 25 years have passed since this book was first published, the majority of its content remains uptodate. Chapters 1 through 6, which cover the basic error estimates for elliptic problems, are still the best available sources for material on this topic. The material covered in Chapters 7 and 8, however, has undergone considerable progress in terms of new applications of the finite element method
63 editions published between 1977 and 2002 in 3 languages and held by 680 WorldCat member libraries worldwide
The Finite Element Method for Elliptic Problems is the only book available that fully analyzes the mathematical foundations of the finite element method. It is a valuable reference and introduction to current research on the numerical analysis of the finite element method, and also a working textbook for graduate courses in numerical analysis. It includes many useful figures, as well as exercises of varying difficulty. Although nearly 25 years have passed since this book was first published, the majority of its content remains uptodate. Chapters 1 through 6, which cover the basic error estimates for elliptic problems, are still the best available sources for material on this topic. The material covered in Chapters 7 and 8, however, has undergone considerable progress in terms of new applications of the finite element method
Differential geometry : theory and applications by
Philippe G Ciarlet(
Book
)
16 editions published in 2008 in English and Undetermined and held by 401 WorldCat member libraries worldwide
This book gives the basic notions of differential geometry, such as the metric tensor, the Riemann curvature tensor, the fundamental forms of a surface, covariant derivatives, and the fundamental theorem of surface theory in a selfcontained and accessible manner. Although the field is often considered a "classical" one, it has recently been rejuvenated, thanks to the manifold applications where it plays an essential role. The book presents some important applications to shells, such as the theory of linearly and nonlinearly elastic shells, the implementation of numerical methods for shells, an
16 editions published in 2008 in English and Undetermined and held by 401 WorldCat member libraries worldwide
This book gives the basic notions of differential geometry, such as the metric tensor, the Riemann curvature tensor, the fundamental forms of a surface, covariant derivatives, and the fundamental theorem of surface theory in a selfcontained and accessible manner. Although the field is often considered a "classical" one, it has recently been rejuvenated, thanks to the manifold applications where it plays an essential role. The book presents some important applications to shells, such as the theory of linearly and nonlinearly elastic shells, the implementation of numerical methods for shells, an
Les équations de Von Kármán by
Philippe G Ciarlet(
Book
)
24 editions published between 1979 and 2008 in 4 languages and held by 388 WorldCat member libraries worldwide
24 editions published between 1979 and 2008 in 4 languages and held by 388 WorldCat member libraries worldwide
Exercices d'analyse numérique matricielle et d'optimisation : avec solutions by
Philippe G Ciarlet(
Book
)
29 editions published between 1982 and 2001 in French and Undetermined and held by 366 WorldCat member libraries worldwide
29 editions published between 1982 and 2001 in French and Undetermined and held by 366 WorldCat member libraries worldwide
Mathematical elasticity by
Philippe G Ciarlet(
Book
)
34 editions published between 1988 and 1997 in 3 languages and held by 332 WorldCat member libraries worldwide
This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of threedimensional elasticity, together with a mathematical analysis of these models. The book is as selfcontained as possible
34 editions published between 1988 and 1997 in 3 languages and held by 332 WorldCat member libraries worldwide
This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of threedimensional elasticity, together with a mathematical analysis of these models. The book is as selfcontained as possible
Trends and applications of pure mathematics to mechanics : invited and contributed papers presented at a symposium at Ecole
Polytechnique, Palaiseau, France, November 28December 2, 1983 by
Philippe G Ciarlet(
Book
)
21 editions published between 1984 and 2005 in English and German and held by 286 WorldCat member libraries worldwide
21 editions published between 1984 and 2005 in English and German and held by 286 WorldCat member libraries worldwide
Lectures on threedimensional elasticity by
Philippe G Ciarlet(
Book
)
25 editions published in 1983 in 4 languages and held by 234 WorldCat member libraries worldwide
25 editions published in 1983 in 4 languages and held by 234 WorldCat member libraries worldwide
Numerical analysis of the finite element method by
Philippe G Ciarlet(
Book
)
19 editions published between 1976 and 1977 in 4 languages and held by 232 WorldCat member libraries worldwide
19 editions published between 1976 and 1977 in 4 languages and held by 232 WorldCat member libraries worldwide
Analyse fonctionnelle : théorie et applications by
H Brézis(
Book
)
7 editions published between 1999 and 2005 in French and held by 213 WorldCat member libraries worldwide
Uniquely, this book presents a coherent, concise and unified way of combining elements from two distinct "worlds," functional analysis (FA) and partial differential equations (PDEs), and is intended for students who have a good background in real analysis. This text presents a smooth transition from FA to PDEs by analyzing in great detail the simple case of onedimensional PDEs (i.e., ODEs), a more manageable approach for the beginner. Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Moreover, the wealth of exercises and additional material presented, leads the reader to the frontier of research
7 editions published between 1999 and 2005 in French and held by 213 WorldCat member libraries worldwide
Uniquely, this book presents a coherent, concise and unified way of combining elements from two distinct "worlds," functional analysis (FA) and partial differential equations (PDEs), and is intended for students who have a good background in real analysis. This text presents a smooth transition from FA to PDEs by analyzing in great detail the simple case of onedimensional PDEs (i.e., ODEs), a more manageable approach for the beginner. Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Moreover, the wealth of exercises and additional material presented, leads the reader to the frontier of research
Plates and junctions in elastic multistructures : an asymptotic analysis by
Philippe G Ciarlet(
Book
)
16 editions published in 1990 in English and held by 191 WorldCat member libraries worldwide
16 editions published in 1990 in English and held by 191 WorldCat member libraries worldwide
Linear and nonlinear functional analysis with applications : with 401 problems and 52 figures by
Philippe G Ciarlet(
Book
)
11 editions published in 2013 in English and held by 157 WorldCat member libraries worldwide
This singlevolume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features selfcontained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis
11 editions published in 2013 in English and held by 157 WorldCat member libraries worldwide
This singlevolume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features selfcontained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis
Mathematical elasticity by
Philippe G Ciarlet(
Book
)
28 editions published between 1988 and 2005 in English and held by 96 WorldCat member libraries worldwide
An introduction to contemporary research in elasticity, this text descibes the two competing mathematical models of threedimensional elasticity, together with a mathematical analysis of these models. Emphasis is placed on nonlinear aspects
28 editions published between 1988 and 2005 in English and held by 96 WorldCat member libraries worldwide
An introduction to contemporary research in elasticity, this text descibes the two competing mathematical models of threedimensional elasticity, together with a mathematical analysis of these models. Emphasis is placed on nonlinear aspects
Handbook of numerical analysis by
R Glowinski(
Book
)
34 editions published between 1990 and 2011 in English and held by 86 WorldCat member libraries worldwide
V. 1. Finite difference methods, pt. 1 ; solutions of equations in Rn, pt. 1  v. 2. Finite element methods, pt. 1  v. 3. Techniques of scientific computing, pt.1 ; numerical methods for solids, pt.1 : solution of equations in Rn, pt. 2  v. 4. Finite element methods, pt.2 ; numerical methods for solids, pt.2  v. 5. Techniques of scientific computing, pt. 2  v. 6. Numerical methods for solids, pt.3 ; numerical methods for fluids, pt.1  v. 7. Solution of equations in Rn, pt. 3 ; techniques of scientific computing, pt. 3  v. 8 Solution of equations in Rn, pt. 4 : techniques of scientific computing, pt. 4 ; numerical methods for fluids, pt. 2  v. 9. Numerical methods for fluids, pt. 3  v. 10. Computational chemistry  v. 11. Foundations of computational mathematics  v.12 Special vol. : computational models for the human body  v. 13. Special vol. : numerical methods in electromagnetics  v. 14. Special vol. : computational methods for the atmosphere and the oceans  15. Special vol. : mathematical modeling and numerical methods in finance  16. Special volume for nonNewtonian fluids
34 editions published between 1990 and 2011 in English and held by 86 WorldCat member libraries worldwide
V. 1. Finite difference methods, pt. 1 ; solutions of equations in Rn, pt. 1  v. 2. Finite element methods, pt. 1  v. 3. Techniques of scientific computing, pt.1 ; numerical methods for solids, pt.1 : solution of equations in Rn, pt. 2  v. 4. Finite element methods, pt.2 ; numerical methods for solids, pt.2  v. 5. Techniques of scientific computing, pt. 2  v. 6. Numerical methods for solids, pt.3 ; numerical methods for fluids, pt.1  v. 7. Solution of equations in Rn, pt. 3 ; techniques of scientific computing, pt. 3  v. 8 Solution of equations in Rn, pt. 4 : techniques of scientific computing, pt. 4 ; numerical methods for fluids, pt. 2  v. 9. Numerical methods for fluids, pt. 3  v. 10. Computational chemistry  v. 11. Foundations of computational mathematics  v.12 Special vol. : computational models for the human body  v. 13. Special vol. : numerical methods in electromagnetics  v. 14. Special vol. : computational methods for the atmosphere and the oceans  15. Special vol. : mathematical modeling and numerical methods in finance  16. Special volume for nonNewtonian fluids
An introduction to differential geometry with applications to elasticity by
Philippe G Ciarlet(
Book
)
20 editions published between 2005 and 2016 in English and held by 84 WorldCat member libraries worldwide
Presents the basic theorems of differential geometry in threedimensional space, including a coverage of surface theory. By means of a series of mathematical models, this monograph also explains how these theorems are used in threedimensional elasticity and in shell theory
20 editions published between 2005 and 2016 in English and held by 84 WorldCat member libraries worldwide
Presents the basic theorems of differential geometry in threedimensional space, including a coverage of surface theory. By means of a series of mathematical models, this monograph also explains how these theorems are used in threedimensional elasticity and in shell theory
Asymptotic methods for elastic structures : proceedings of the international conference, Lisbon, Portugal, October 48, 1993 by International Conference on Asymptotic Methods for Elastic Structures(
Book
)
17 editions published between 1995 and 2011 in English and held by 81 WorldCat member libraries worldwide
17 editions published between 1995 and 2011 in English and held by 81 WorldCat member libraries worldwide
Partial differential equations : theory, control and approximation : in honor of the scientific heritage of JacquesLouis
Lions by
Philippe G Ciarlet(
Book
)
15 editions published between 2013 and 2016 in English and held by 40 WorldCat member libraries worldwide
This book collects papers mainly presented at the "International Conference on Partial Differential Equations: Theory, Control and Approximation" (May 28 to June1, 2012 in Shanghai) in honor of the scientific legacy of the exceptional mathematician JacquesLouis Lions. The contributors are leading experts from all over the world, including members of the Academies of Sciences in France, the USA and China etc., and their papers cover key fields of research, e.g. partial differential equations, control theory and numerical analysis, that JacquesLouis Lions created or contributed so much to establishing
15 editions published between 2013 and 2016 in English and held by 40 WorldCat member libraries worldwide
This book collects papers mainly presented at the "International Conference on Partial Differential Equations: Theory, Control and Approximation" (May 28 to June1, 2012 in Shanghai) in honor of the scientific legacy of the exceptional mathematician JacquesLouis Lions. The contributors are leading experts from all over the world, including members of the Academies of Sciences in France, the USA and China etc., and their papers cover key fields of research, e.g. partial differential equations, control theory and numerical analysis, that JacquesLouis Lions created or contributed so much to establishing
Mathematical elasticity by
Philippe G Ciarlet(
Book
)
15 editions published between 1988 and 2000 in English and held by 28 WorldCat member libraries worldwide
The objective of Volume III is to lay down the proper mathematical foundations of the twodimensional theory of shells. To this end, it provides, without any recourse to any a priori assumptions of a geometrical or mechanical nature, a mathematical justification of twodimensional nonlinear and linear shell theories, by means of asymptotic methods, with the thickness as the "small" parameter
15 editions published between 1988 and 2000 in English and held by 28 WorldCat member libraries worldwide
The objective of Volume III is to lay down the proper mathematical foundations of the twodimensional theory of shells. To this end, it provides, without any recourse to any a priori assumptions of a geometrical or mechanical nature, a mathematical justification of twodimensional nonlinear and linear shell theories, by means of asymptotic methods, with the thickness as the "small" parameter
Advances in Deterministic and Stochastic Analysis by
N. M Chuong(
Book
)
3 editions published in 2007 in English and held by 2 WorldCat member libraries worldwide
This volume collects articles in pure and applied analysis, partial differential equations, geometric analysis and stochastic and infinitedimensional analysis. In particular, the contributors discuss integral and pseudodifferential operators, which play an important role in partial differential equations. Other methods of solving the partial differential equations are considered, such as the minmax approach to variational problems and boundary value problems. The foundations of quantum mechanics from the viewpoints of infinitedimensional spaces and Bell's inequality and contraction are als
3 editions published in 2007 in English and held by 2 WorldCat member libraries worldwide
This volume collects articles in pure and applied analysis, partial differential equations, geometric analysis and stochastic and infinitedimensional analysis. In particular, the contributors discuss integral and pseudodifferential operators, which play an important role in partial differential equations. Other methods of solving the partial differential equations are considered, such as the minmax approach to variational problems and boundary value problems. The foundations of quantum mechanics from the viewpoints of infinitedimensional spaces and Bell's inequality and contraction are als
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Related Identities
 Lions, J.L (JacquesLouis) 19282001 Other Honoree Director Editor Author
 Li, Daqian Editor
 Thomas, JeanMarie Other Author Contributor
 Miara, Bernadette Other Thesis advisor Contributor
 Rabier, Patrick Author
 Viaño, J. M. (Juan M.) 1955 Editor
 Trabucho, L. (Luís) 1953 Editor
 Maday, Yvon Editor
 Roseau, Maurice Editor
 International Society for the Interaction of Mechanics and Mathematics
Useful Links
Associated Subjects
Algebras, Linear Asymptotic expansions Bifurcation theory Boundary value problems Boundary value problemsNumerical solutions Calculus of variations Curvilinear coordinates Deterministic chaos Differential equations, Elliptic Differential equations, EllipticNumerical solutions Differential equations, Nonlinear Differential equations, Partial Differential equations, PartialNumerical solutions Elastic analysis (Engineering) Elasticity ElasticityMathematical models ElasticityMathematics Elastic plates and shells Elliptic functions Engineering Engineering mathematics EquationsNumerical solutions FinanceMathematical models Finite element method Functional analysis Geometry Geometry, Differential Global analysis (Mathematics) Global differential geometry Lions, J.L.(JacquesLouis), Mathematical models Mathematical optimization Mathematics Matrices Mechanics Nonlinear functional analysis Numerical analysis Numerical analysisData processing Numerical calculations Physics Quantum computing Quantum theory Shells Sobolev spaces Stochastic analysis Structural analysis (Engineering) Surfaces Von Kármán equations
Alternative Names
Ciarlet, P. 1938
Ciarlet, P.G.
Ciarlet, P. G. 1938
Ciarlet, P. G. (Philippe G.)
Ciarlet, Ph.
Ciarlet, Ph 1938
Ciarlet, Ph. G. 1938
Ciarlet, Ph. (Philippe)
Ciarlet, Ph. (Philippe G.)
Ciarlet, Philippe
Ciarlet Philippe 1938....
Ciarlet, Philippe G.
Ciarlet, Philippe Gaston.
Ciarlet, Philippe Gaston 1938
CiarletRabier, .. 1938
Philippe Ciarlet fransk matematikar
Philippe Ciarlet fransk matematiker
Philippe Ciarlet französischer Mathematiker
Philippe Ciarlet mathématicien français
Philippe G. Ciarlet
Philippe G. Ciarlet Frans wiskundige
Philippe G. Ciarlet French mathematician
Philippe G. Ciarlet matemático francés
S'ârle, F.
S'jarle, F.
Sʹjarle, F. 1938
Sʹjarle, Filipp 1938
菲立普·希阿雷
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