What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Finite element method
- Mathematical analysis
Finite element method, Geometry, Variational principle, Bending and Mathematical analysis are his primary areas of study.
His work deals with themes such as Calculus of variations, Mathematical optimization and Applied mathematics, which intersect with Finite element method.
His work on Lagrange multiplier as part of his general Mathematical optimization study is frequently connected to Spectral analysis, thereby bridging the divide between different branches of science.
His Geometry research incorporates themes from Bending of plates and Structural mechanics.
His studies in Mathematical analysis integrate themes in fields like Vibration, Stiffness, Constraint algorithm and Classical mechanics.
His research in Domain decomposition methods focuses on subjects like Algorithm, which are connected to Fluid–structure interaction.
His most cited work include:
- Partitioned analysis of coupled mechanical systems (650 citations)
- A unified formulation of small-strain corotational finite elements: I. Theory (275 citations)
- A triangular membrane element with rotational degrees of freedom (269 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Finite element method, Mathematical analysis, Classical mechanics, Variational principle and Nonlinear system.
His Finite element method research is multidisciplinary, incorporating elements of Discretization, Element, Mathematical optimization and Applied mathematics.
His research in Element tackles topics such as Algorithm which are related to areas like Shell.
The various areas that Carlos A. Felippa examines in his Mathematical analysis study include Lagrange multiplier, Constraint algorithm, Vibration, Geometry and Linear elasticity.
Carlos A. Felippa has researched Classical mechanics in several fields, including Bending of plates, Fluid–structure interaction and Tangent stiffness matrix.
In his research, Free parameter is intimately related to Calculus of variations, which falls under the overarching field of Variational principle.
He most often published in these fields:
- Finite element method (61.25%)
- Mathematical analysis (21.88%)
- Classical mechanics (16.88%)
What were the highlights of his more recent work (between 2001-2021)?
- Finite element method (61.25%)
- Lagrange multiplier (11.88%)
- Mathematical analysis (21.88%)
In recent papers he was focusing on the following fields of study:
Carlos A. Felippa focuses on Finite element method, Lagrange multiplier, Mathematical analysis, Classical mechanics and Discretization.
The Finite element method study combines topics in areas such as Element, Stiffness and Applied mathematics.
His study in Lagrange multiplier is interdisciplinary in nature, drawing from both Discontinuity, Fluid–structure interaction, Mesh generation and Interface.
His Mathematical analysis research is multidisciplinary, relying on both Geometry, Mixed finite element method, Statically indeterminate and D'Alembert's principle.
In general Classical mechanics study, his work on Stress often relates to the realm of Diffusion reaction, thereby connecting several areas of interest.
His Discretization research includes themes of Frame, Algorithm, Direct coupling and Constant coefficients.
Between 2001 and 2021, his most popular works were:
- A unified formulation of small-strain corotational finite elements: I. Theory (275 citations)
- A study of optimal membrane triangles with drilling freedoms (153 citations)
- A simple algorithm for localized construction of non‐matching structural interfaces (90 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Finite element method
- Mathematical analysis
His scientific interests lie mostly in Finite element method, Element, Lagrange multiplier, Quadrilateral and Mathematical optimization.
He combines subjects such as Numerical integration, Mathematical analysis, Stiffness and Classical mechanics with his study of Finite element method.
The study incorporates disciplines such as Cartesian coordinate system, Distortion, Calculus and Constitutive equation in addition to Element.
His Lagrange multiplier research integrates issues from Discontinuity and Mesh generation.
His Discontinuity research incorporates elements of Multiphysics, Fluid–structure interaction, Structural engineering and Algorithm.
Carlos A. Felippa interconnects Plane stress, Orthogonality, Quadratic equation, Applied mathematics and Term in the investigation of issues within Mathematical optimization.
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.
