WorldCat Identities

Ciarlet, Philippe G.

Works: 288 works in 1,128 publications in 8 languages and 12,402 library holdings
Genres: Conference papers and proceedings  Textbooks 
Roles: Author, Editor, Thesis advisor, Other, Director
Publication Timeline
Most widely held works by Philippe G Ciarlet
Differential geometry: theory and applications( )

17 editions published in 2008 in English and held by 1,303 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 self-contained 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, and mesh generation in finite element methods. This volume will be very useful to graduate students and researchers in pure and applied mathematics
Introduction to numerical linear algebra and optimisation by Philippe G Ciarlet( Book )

71 editions published between 1982 and 2006 in 5 languages and held by 1,054 WorldCat member libraries worldwide

The purpose of this book is to give a thorough introduction to the most commonly used methods of numerical linear algebra and optimisation. The prerequisites are some familiarity with the basic properties of matrices, finite-dimensional vector spaces, advanced calculus, and some elementary notations from functional analysis. The book is in two parts. The first deals with numerical linear algebra (review of matrix theory, direct and iterative methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimisation (general algorithms, linear and nonlinear programming). The author has based the book on courses taught for advanced undergraduate and beginning graduate students and the result is a well-organised and lucid exposition. Summaries of basic mathematics are provided, proofs of theorems are complete yet kept as simple as possible, and applications from physics and mechanics are discussed. Professor Ciarlet has also helpfully provided over 40 line diagrams, a great many applications, and a useful guide to further reading. This excellent textbook, which is translated and revised from the very successful French edition, will be of great value
The finite element method for elliptic problems by Philippe G Ciarlet( Book )

69 editions published between 1977 and 2002 in 4 languages and held by 916 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 up-to-date. 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
Les équations de Von Kármán by Philippe G Ciarlet( Book )

18 editions published in 1980 in 3 languages and held by 543 WorldCat member libraries worldwide

Asymptotic methods for elastic structures : proceedings of the international conference, Lisbon, Portugal, October 4-8, 1993 by International Conference on Asymptotic Methods for Elastic Structures( )

17 editions published between 1995 and 2011 in English and held by 529 WorldCat member libraries worldwide

Mathematical elasticity by Philippe G Ciarlet( Book )

29 editions published between 1988 and 2005 in English and Italian and held by 500 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 three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible
Handbook of numerical analysis( Book )

12 editions published between 1990 and 2005 in English and held by 485 WorldCat member libraries worldwide

Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations
Trends and applications of pure mathematics to mechanics : invited and contributed papers presented at a symposium at Ecole Polytechnique, Palaiseau, France, November 28-December 2, 1983 by Philippe G Ciarlet( Book )

25 editions published between 1984 and 2006 in English and German and held by 439 WorldCat member libraries worldwide

Minimizers and the edler-lagrange equations -- Geometrical methods in some bifurcation problems of elasticity -- Conservation laws without convexity -- Conservation laws and compensated compactness -- Homogeneisation materiaux composites -- Existence problems of the non-linear Boltzmann equation -- Numerical simulation for some applied problems originating from continuum mechanics -- Linear problems associated to the theory of elastic continua with finite deformations -- One-dimensional structured phase transitions on finite intervals -- Global existence and asymptotics in one-dimensional nonlinear viscoelasticity -- Discrete velocity models and the Boltzmann equation -- Formation of singularities in elastic waves -- Solitary waves under external forcing -- Sur Les Solutions De L'equation De Schrödinger Atomique Et Le Cas Particulier De Deux Electrons -- On homogenization problems -- Hamiltonian and non-Hamiltonian models for water waves -- On a class of live traction problems in elasticity -- Some viscous-dominated flows -- Initial value problems for viscoelastic liquids -- Perturbation of eigenvalues in thermoelasticity and vibration of systems with concentrated masses -- Stress tensors, Riemannian metrics and the alternative descriptions in elasticity -- Etude des oscilaltions dans les equations aux derivees partielles non lineaires -- Invariant manifolds and periodic solutions of three degrees of freedom Hamiltonian systems
Partial differential equations : theory, control and approximation : in honor of the scientific heritage of Jacques-Louis Lions by Philippe G Ciarlet( )

16 editions published between 2013 and 2016 in English and held by 427 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 Jacques-Louis 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 Jacques-Louis Lions created or contributed so much to establishing
An introduction to differential geometry with applications to elasticity by Philippe G Ciarlet( )

8 editions published between 2005 and 2010 in English and held by 410 WorldCat member libraries worldwide

Presents the basic theorems of differential geometry in three-dimensional 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 three-dimensional elasticity and in shell theory
Exercices d'analyse numérique matricielle et d'optimisation : avec solutions by Philippe G Ciarlet( Book )

32 editions published between 1982 and 2001 in French and Undetermined and held by 373 WorldCat member libraries worldwide

Advances in Deterministic and Stochastic Analysis by 2005, Quy Nhon) International Conference on Abstract and Applied Analysis (2( )

3 editions published in 2007 in English and held by 362 WorldCat member libraries worldwide

This volume collects articles in pure and applied analysis, partial differential equations, geometric analysis and stochastic and infinite-dimensional analysis. In particular, the contributors discuss integral and pseudo-differential operators, which play an important role in partial differential equations. Other methods of solving the partial differential equations are considered, such as the min-max approach to variational problems and boundary value problems. The foundations of quantum mechanics from the viewpoints of infinite-dimensional spaces and Bell's inequality and contraction are als
Mathematical elasticity by Philippe G Ciarlet( )

14 editions published in 2000 in English and Undetermined and held by 252 WorldCat member libraries worldwide

The objective of Volume III is to lay down the proper mathematical foundations of the two-dimensional 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 two-dimensional nonlinear and linear shell theories, by means of asymptotic methods, with the thickness as the "small" parameter
Numerical analysis of the finite element method by Philippe G Ciarlet( Book )

22 editions published between 1975 and 1977 in 4 languages and held by 247 WorldCat member libraries worldwide

Lectures on three-dimensional elasticity by Philippe G Ciarlet( Book )

22 editions published in 1983 in 4 languages and held by 238 WorldCat member libraries worldwide

Mathematical elasticity by Philippe G Ciarlet( )

20 editions published between 1988 and 1997 in English and French and held by 228 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 two-dimensional 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 three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love 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 three-dimensional solution satisfies well-known two-dimensional equations, such as those of the nonlinear Kirchhoff-Love theory, or the von K̀rm̀n equations. Special attention is also given to the first convergence result obtained in this case, which leads to two-dimensional large deformation, frame-indifferent, nonlinear membrane theories. It is also demonstrated that asymptotic methods can likewise be used for justifying other lower-dimensional equations of elastic shallow shells, and the coupled pluri-dimensional equations of elastic multi-structures, 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
Functional analysis, Sobolev spaces and partial differential equations by H Brézis( Book )

8 editions published between 1999 and 2005 in French and held by 225 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 one-dimensional 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. This book has its roots in a celebrated course taught by the author for many years and is a completely revised, updated, and expanded English edition of the important?Analyse Fonctionnelle? (1983). Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English version is a welcome addition to this list. The first part of the text deals with abstract results in FA and operator theory. The second part is concerned with the study of spaces of functions (of one or more real variables) having specific differentiability properties, e.g., the celebrated Sobolev spaces, which lie at the heart of the modern theory of PDEs. The Sobolev spaces occur in a wide range of questions, both in pure and applied mathematics, appearing in linear and nonlinear PDEs which arise, for example, in differential geometry, harmonic analysis, engineering, mechanics, physics etc. and belong in the toolbox of any graduate student studying analysis
Plates and junctions in elastic multi-structures : an asymptotic analysis by Philippe G Ciarlet( Book )

14 editions published in 1990 in English and French and held by 186 WorldCat member libraries worldwide

Linear and nonlinear functional analysis with applications : with 401 problems and 52 figures by Philippe G Ciarlet( Book )

14 editions published in 2013 in English and held by 180 WorldCat member libraries worldwide

This single-volume 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 self-contained 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 modeling and numerical simulation in continuum mechanics : proceedings of the International Symposium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics, September 29-October 3, 2000, Yamaguchi, Japan by Ivo Babuška( Book )

8 editions published in 2002 in English and held by 173 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
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WorldCat IdentitiesRelated Identities
Differential geometry: theory and applications
Introduction to numerical linear algebra and optimisationThe finite element method for elliptic problemsLes équations de Von KármánMathematical elasticityHandbook of numerical analysisAn introduction to differential geometry with applications to elasticityAdvances in Deterministic and Stochastic AnalysisMathematical elasticity
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-

Ciarlet-Rabier, .. 1938-

Philippe Ciarlet fransk matematikar

Philippe Ciarlet fransk matematiker

Philippe Ciarlet französischer Mathematiker

Philippe Ciarlet mathématicien français

Philippe G. Ciarlet Frans wiskundige

Philippe G. Ciarlet French mathematician

Philippe G. Ciarlet matematician francez

Philippe G. Ciarlet matemático francés

S'ârle, F.

S'jarle, F.

Sʹjarle, F. 1938-

Sʹjarle, Filipp 1938-

Сьярле Ф.


English (311)

French (102)

German (5)

Italian (4)

Galician (2)

Russian (2)

Polish (1)

Dutch (1)