Ciarlet, Philippe G.Overview
Publication Timeline
Most widely held works by
Philippe G Ciarlet
The finite element method for elliptic problems
by Philippe G Ciarlet
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Book
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49 editions published between 1977 and 2002 in English and Dutch and held by 789 WorldCat member libraries worldwide The Finite Element Method for Elliptic Problems is the only book available that analyzes in depth 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, as well as a working textbook for graduate courses in numerical analysis. It includes many useful figures, and there are many 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; therefore, the author provides, in the Preface to the Classics Edition, a bibliography of recent texts that complement the classic material in these chapters. Audience: this book is particularly useful to graduate students, researchers, and engineers using finite element methods. The reader should have knowledge of analysis and functional analysis, particularly Hilbert spaces, Sobolev spaces, and differential calculus in normed vector spaces. Other than these basics, the book is mathematically selfcontained
Handbook of numerical analysis
by Philippe G Ciarlet
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Book
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50 editions published between 1989 and 2009 in English and held by 561 WorldCat member libraries worldwide Presents information on the "Handbook of Numerical Analysis," published by Elsevier Science. Includes the tables of contents for several volumes. Lists the topics covered in the journal, including finite difference methods, techniques of scientific computing, and optimization theory and systems science. Offers book reviews and a list of the editors. Provides access to related journals
Introduction to numerical linear algebra and optimisation
by Philippe G Ciarlet
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Book
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19 editions published between 1988 and 2001 in English and held by 492 WorldCat member libraries worldwide
Differential geometry theory and applications
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9 editions published in 2008 in English and held by 484 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
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Book
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19 editions published between 1980 and 2008 in 4 languages and held by 467 WorldCat member libraries worldwide
Introduction à l'analyse numérique matricielle et à l'optimisation
by Philippe G Ciarlet
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Book
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29 editions published between 1982 and 2006 in French and held by 462 WorldCat member libraries worldwide
An introduction to differential geometry with applications to elasticity
by Philippe G Ciarlet
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20 editions published between 2005 and 2010 in English and held by 418 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
Exercices d'analyse numérique matricielle et d'optimisation avec solutions
by Philippe G Ciarlet
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Book
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23 editions published between 1982 and 2001 in French and held by 350 WorldCat member libraries worldwide
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
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13 editions published between 1984 and 1992 in English and held by 330 WorldCat member libraries worldwide
Mathematical elasticity
by Philippe G Ciarlet
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Book
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24 editions published between 1987 and 1997 in English and held by 328 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
Asymptotic methods for elastic structures proceedings of the International Conference, Lisbon, Portugal, October 48, 1993
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11 editions published in 1995 in English and held by 247 WorldCat member libraries worldwide
Numerical analysis of the finite element method
by Philippe G Ciarlet
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Book
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12 editions published between 1976 and 1977 in English and Polish and held by 214 WorldCat member libraries worldwide
Lectures on threedimensional elasticity
by Philippe G Ciarlet
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Book
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16 editions published in 1983 in 3 languages and held by 214 WorldCat member libraries worldwide
Analyse fonctionnelle : théorie et applications
by H Brézis
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5 editions published between 1999 and 2005 in French and held by 192 WorldCat member libraries worldwide
Mathematical elasticity
by Philippe G Ciarlet
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13 editions published in 2000 in English and held by 180 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
Plates and junctions in elastic multistructures : an asymptotic analysis
by Philippe G Ciarlet
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Book
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14 editions published in 1990 in English and held by 178 WorldCat member libraries worldwide
Mathematical elasticity
by Philippe G Ciarlet
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14 editions published between 1988 and 2004 in English and held by 169 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
Mathematical elasticity
by Philippe G Ciarlet
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11 editions published in 1997 in English and French and held by 151 WorldCat member libraries worldwide The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying twodimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the threedimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the wellknown twodimensional equations of the linear KirchhoffLove theory; the convergence of stress is also established. In the nonlinear case, again after ad hoc scalings have been performed, it is shown that the leading term of a formal asymptotic expansion of the threedimensional solution satisfies wellknown twodimensional equations, such as those of the nonlinear KirchhoffLove theory, or the von K̀rm̀n equations. Special attention is also given to the first convergence result obtained in this case, which leads to twodimensional large deformation, frameindifferent, nonlinear membrane theories. It is also demonstrated that asymptotic methods can likewise be used for justifying other lowerdimensional equations of elastic shallow shells, and the coupled pluridimensional equations of elastic multistructures, i.e., structures with junctions. In each case, the existence, uniqueness or multiplicity, and regularity of solutions to the limit equations obtained in this fashion are also studied
Partial differential equations : theory, control and approximation : in honor of the scientific heritage of JacquesLouis Lions
by Philippe G Ciarlet
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4 editions published between 2013 and 2014 in English and held by 137 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 June 1, 2012 in Shanghai) in honor of the scientific legacy of the exceptional mathematician JacquesLouis Lions
Mathematical modeling and numerical simulation in continuum mechanics : proceedings of the International Symposium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics, September 29October 3, 2000, Yamaguchi, Japan
by Ivo Babuška
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Book
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8 editions published between 2001 and 2002 in English and held by 112 WorldCat member libraries worldwide This book shows the latest frontiers of the research by the most active researchers in the field of numerical mathematics. The papers in the book were presented in a symposium at Yamaguchi, Japan. The subject of the symposium was mathematical modeling and numerical simulation in continuum mechanics. The topics of the lectures ranged from solids to fluids and included both mathematical and computational analysis of phenomena and algorithms. The readers can study the latest results on shells, plates, flows in various situations, fracture of solids, new ways of exact error estimates and many other topics more
fewer
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Associated Subjects
Algebras, Linear Asymptotic expansions Bifurcation theory Boundary value problems Boundary value problemsNumerical solutions Computer scienceMathematics Continuum mechanics Curvilinear coordinates Differential equations, EllipticNumerical solutions Differential equations, Nonlinear Differential equations, Partial Elastic analysis (Engineering) Elasticity ElasticityMathematical models ElasticityMathematics Elastic plates and shells Elliptic functions Engineering Engineering mathematics EquationsNumerical solutions Finite element method Functional analysis Geometry, Differential Global analysis (Mathematics) Global differential geometry Mathematical models Mathematical optimization Mathematics Matrices Mechanics Numerical analysis Numerical calculations Physics Quantum theory Shells Sobolev spaces 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. G. (Philippe G.)
Ciarlet, Ph. (Philippe)
Ciarlet, Philippe
Ciarlet, Philippe 1938
Ciarlet, Philippe G.
Ciarlet, Philippe Gaston.
Ciarlet, Philippe Gaston 1938 Vollstaendiger Name
S'ârle, F.
S'jarle, F.
Sʹjarle, F. 1938
Sʹjarle, Filipp 1938
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