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Philippe G. Ciarlet

Philippe G. Ciarlet

D-Index & Metrics

Mathematics

D-Index
57
Citations
51785
World Ranking
658
National Ranking
34

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2009 - SIAM Fellow For contributions to numerical analysis and computational mechanics, particularly to the development of the mathematical theory of finite element methods and the modeling of elastic structures.
  • 2007 - Fellow, The World Academy of Sciences
  • 1989 - Member of Academia Europaea

Overview

Philippe G. Ciarlet is affiliated with the City University of Hong Kong in China. Their research primarily lies at the intersection of engineering and mathematics, with significant contributions to the fields of mechanics of materials, civil and structural engineering, biomedical engineering, applied mathematics, and control and systems engineering.

The scientist's recent scholarly output includes papers published mainly in two venues: Communications in Mathematical Analysis and Applications and Mathematics and Mechanics of Solids. Their recent papers cover topics related to elasticity theories, shell and plate mechanics, and variational problems:

  • Intrinsic formulation of the Kirchhoff-Love theory of nonlinearly elastic plates (2022), Mathematics and Mechanics of Solids
  • Intrinsic Formulation of the Kirchhoff-Love Theory of Nonlinearly Elastic Shallow Shells (2022), Communications in Mathematical Analysis and Applications
  • On the Brachistochrone Problem (2022), Communications in Mathematical Analysis and Applications
  • An Intrinsic Formulation of the Von Kármán Equations (2023), Communications in Mathematical Analysis and Applications
  • Intrinsic Marguerre-von Kármán equations (2023), Mathematics and Mechanics of Solids

Their research encompasses main topics such as composite structure analysis and optimization, topology optimization in engineering, structural analysis and optimization, elasticity and material modeling, composite material mechanics, vibration and dynamic analysis, and mathematical analysis and transform methods.

Frequent collaborations include work with Cristinel Mardare, with whom they have co-authored several papers. The scientist has a record of publications distributed across engineering and mathematical disciplines.

The scientist has authored multiple books published by the Society for Industrial and Applied Mathematics. These books range across the theory of elasticity, functional analysis, and harmonic analysis. Notable titles include Mathematical Elasticity: Three-Dimensional Elasticity (2021), Mathematical Elasticity: Theory of Plates (2021), Mathematical Elasticity: Theory of Shells (2021), Locally Convex Spaces and Harmonic Analysis: An Introduction (2021), and Linear and Nonlinear Functional Analysis with Applications, Second Edition (2025).

Philippe G. Ciarlet has received a number of recognitions for their work, including:

  • Fellow of the American Mathematical Society (2013)
  • SIAM Fellow (2009) for contributions to numerical analysis and computational mechanics, especially finite element methods and elastic structure modeling
  • Fellow of The World Academy of Sciences (2007)
  • Member of Academia Europaea (1989)

Best Publications

  • The Finite Element Method for Elliptic Problems

    Philippe G. Ciarlet;J. T. Oden

  • The Finite Element Method for Elliptic Problems

    Philippe G. Ciarlet

  • Basic error estimates for elliptic problems

    P.G. Ciarlet

  • Maximum principle and uniform convergence for the finite element method

    P.G Ciarlet;P.-A Raviart

  • Linear and Nonlinear Functional Analysis with Applications

    Philippe G. Ciarlet

  • General lagrange and hermite interpolation in Rn with applications to finite element methods

    P. G. Ciarlet;P. A. Raviart

  • MATHEMATICAL ELASTICITY: VOLUME I: THREE-DIMENSIONAL ELASTICITY

    Philippe G. Ciarlet

  • An Introduction to Differential Geometry with Applications to Elasticity

    Philippe G. Ciarlet

  • Three-dimensional elasticity

    Philippe G. Ciarlet

  • Numerical methods of high-order accuracy for nonlinear boundary value problems

    P. G. Ciarlet;M. H. Schultz;R. S. Varga

  • JUSTIFICATION OF THE TWO-DIMENSIONAL LINEAR PLATE MODEL.

    P. G. Ciarlet;P. Destuynder

  • A Mixed Finite Element Method for the Biharmonic Equation

    P.G. Ciarlet;P.A. Raviart

  • Interpolation theory over curved elements, with applications to finite element methods

    P.G. Ciarlet;P.-A. Raviart

  • A justification of the von Kármán equations

    Philippe G. Ciarlet

  • Introduction a l'analyse numerique matricielle et a l'optimisation

    Philippe G. Ciarlet

  • Finite Element Method for Elliptic Problems

    Philippe G. Ciarlet

  • Injectivity and self-contact in nonlinear elasticity

    Philippe G. Ciarlet;Jindřich Nečas

  • Les équations de Von Kármán

    Philippe G. Ciarlet;Patrick Rabier

  • Theory of plates

    Philippe G. Ciarlet

  • Mathematical elasticity. volume II, Theory of plates

    Philippe G. Ciarlet

  • Handbook of Numerical Analysis

    Philippe G. Ciarlet;Jacques Louis Lions

  • The Finite Element Method for Elliptic Problems.

    L. Ridgway Scott;Philippe G. Ciarlet

Frequent Co-Authors

Jacques-Louis Lions
Jacques-Louis Lions Collège de France
Patrick Ciarlet
Patrick Ciarlet École Nationale Supérieure de Techniques Avancées
Roland Glowinski
Roland Glowinski University of Houston
Richard S. Varga
Richard S. Varga Kent State University
Stefan A. Sauter
Stefan A. Sauter University of Zurich
Alain Bensoussan
Alain Bensoussan The University of Texas at Dallas
Ivo Babuška
Ivo Babuška The University of Texas at Austin
Felipe Cucker
Felipe Cucker City University of Hong Kong
Marc Yor
Marc Yor Sorbonne University
Douglas N. Arnold
Douglas N. Arnold University of Minnesota

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