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- Philippe G. Ciarlet

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
53
Citations
48,312
256
World Ranking
635
National Ranking
33

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

- Mathematical analysis
- Quantum mechanics
- Algebra

Philippe G. Ciarlet mainly focuses on Mathematical analysis, Finite element method, Nonlinear system, Boundary value problem and Mixed finite element method. His Mathematical analysis research integrates issues from Elasticity, Linear elasticity and Curvilinear coordinates. Philippe G. Ciarlet has included themes like Exact solutions in general relativity and Sobolev space in his Finite element method study.

His Nonlinear system study combines topics in areas such as Plate theory, Displacement field, Calculus and Minimization problem. As part of one scientific family, Philippe G. Ciarlet deals mainly with the area of Mixed finite element method, narrowing it down to issues related to the Extended finite element method, and often Discontinuous Galerkin method and Smoothed finite element method. His studies in Discontinuous Galerkin method integrate themes in fields like hp-FEM and Spectral element method.

- The Finite Element Method for Elliptic Problems (7915 citations)
- The Finite Element Method for Elliptic Problems (940 citations)
- Maximum principle and uniform convergence for the finite element method (429 citations)

Mathematical analysis, Nonlinear system, Pure mathematics, Boundary value problem and Finite element method are his primary areas of study. His research in Mathematical analysis is mostly focused on Differential geometry. His work in Nonlinear system tackles topics such as Elasticity which are related to areas like Applied mathematics and Linear elasticity.

His Boundary value problem study combines topics from a wide range of disciplines, such as Elasticity and Compact space. His Finite element method research is mostly focused on the topic Mixed finite element method. In his research on the topic of Mixed finite element method, Smoothed finite element method is strongly related with Extended finite element method.

- Mathematical analysis (60.67%)
- Nonlinear system (17.98%)
- Pure mathematics (17.98%)

- Mathematical analysis (60.67%)
- Nonlinear system (17.98%)
- Pure mathematics (17.98%)

His scientific interests lie mostly in Mathematical analysis, Nonlinear system, Pure mathematics, Compatibility and Boundary value problem. His work on Sobolev space as part of general Mathematical analysis study is frequently connected to Infinitesimal strain theory, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His research in Nonlinear system intersects with topics in Surface, Symmetric tensor, Vector field, Plate theory and Existence theorem.

His Pure mathematics research is multidisciplinary, relying on both Space, Second fundamental form, First fundamental form and Calculus. His biological study spans a wide range of topics, including Curvature and Partial differential equation. His Boundary value problem research includes themes of Wave equation and Shell theory.

- Linear and Nonlinear Functional Analysis with Applications (264 citations)
- On Korn’s inequality (46 citations)
- A NEW DUALITY APPROACH TO ELASTICITY (38 citations)

- Mathematical analysis
- Quantum mechanics
- Geometry

His main research concerns Mathematical analysis, Nonlinear system, Sobolev space, Calculus and Infinitesimal strain theory. In his works, Philippe G. Ciarlet undertakes multidisciplinary study on Mathematical analysis and Perturbation function. His Nonlinear system study incorporates themes from Vector field, Surface, Ball and Existence theorem.

His Sobolev space study integrates concerns from other disciplines, such as Poincaré conjecture, Mathematical physics, Korn's inequality and Scalar. The study incorporates disciplines such as Mathematical proof, Factor theorem, Fundamental theorem and Mean value theorem, Danskin's theorem in addition to Calculus. The Boundary value problem study which covers Classical mechanics that intersects with Partial differential equation.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The Finite Element Method for Elliptic Problems

Philippe G. Ciarlet;J. T. Oden.

**(1978)**

17410 Citations

The Finite Element Method for Elliptic Problems

Philippe G. Ciarlet;J. T. Oden.

**(1978)**

17410 Citations

The Finite Element Method for Elliptic Problems

Philippe G. Ciarlet.

Classics in Applied Mathematics **(2002)**

17019 Citations

The Finite Element Method for Elliptic Problems

Philippe G. Ciarlet.

Classics in Applied Mathematics **(2002)**

17019 Citations

Basic error estimates for elliptic problems

P.G. Ciarlet.

Handbook of Numerical Analysis **(1991)**

1335 Citations

Maximum principle and uniform convergence for the finite element method

P.G Ciarlet;P.-A Raviart.

Computer Methods in Applied Mechanics and Engineering **(1973)**

680 Citations

Maximum principle and uniform convergence for the finite element method

P.G Ciarlet;P.-A Raviart.

Computer Methods in Applied Mechanics and Engineering **(1973)**

680 Citations

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

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

Archive for Rational Mechanics and Analysis **(1972)**

620 Citations

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

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

Archive for Rational Mechanics and Analysis **(1972)**

620 Citations

MATHEMATICAL ELASTICITY: VOLUME I: THREE-DIMENSIONAL ELASTICITY

Philippe G. Ciarlet.

Mathematics of Computation **(1989)**

548 Citations

Journal des Mathematiques Pures et Appliquees

(Impact Factor: 2.282)

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