What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (60.67%)
- Nonlinear system (17.98%)
- Pure mathematics (17.98%)
What were the highlights of his more recent work (between 2009-2020)?
- Mathematical analysis (60.67%)
- Nonlinear system (17.98%)
- Pure mathematics (17.98%)
In recent papers he was focusing on the following fields of study:
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.
Between 2009 and 2020, his most popular works were:
- Linear and Nonlinear Functional Analysis with Applications (264 citations)
- On Korn’s inequality (46 citations)
- A NEW DUALITY APPROACH TO ELASTICITY (38 citations)
In his most recent research, the most cited papers focused on:
- 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.
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