What is he best known for?
The fields of study he is best known for:
- Finite element method
- Mathematical analysis
- Algorithm
Finite element method, Algorithm, Aeroelasticity, Domain decomposition methods and Applied mathematics are his primary areas of study.
The Finite element method study combines topics in areas such as Discretization, Mathematical analysis, Sensitivity and Finite volume method.
Charbel Farhat has researched Algorithm in several fields, including Structure, Dynamical systems theory, Interpolation, Parallel computing and Solver.
His Aeroelasticity study combines topics from a wide range of disciplines, such as Flutter, Transonic and Control theory, Nonlinear system.
His Domain decomposition methods research is multidisciplinary, incorporating elements of Domain and Computational mechanics.
His Applied mathematics research incorporates elements of Computational fluid dynamics, Mathematical optimization, Conservation law, Numerical analysis and Unsteady flow.
His most cited work include:
- A method of finite element tearing and interconnecting and its parallel solution algorithm (998 citations)
- Partitioned analysis of coupled mechanical systems (650 citations)
- Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity (503 citations)
What are the main themes of his work throughout his whole career to date?
The scientist’s investigation covers issues in Finite element method, Algorithm, Applied mathematics, Aeroelasticity and Mathematical analysis.
His study in Finite element method is interdisciplinary in nature, drawing from both Discretization and Parallel computing.
His work deals with themes such as Flow, Mathematical optimization, Conservation law, Numerical analysis and Finite volume method, which intersect with Applied mathematics.
His Aeroelasticity research includes elements of Computational fluid dynamics, Flutter, Transonic and Control theory, Nonlinear system.
His Mathematical analysis research is multidisciplinary, relying on both Lagrange multiplier, Galerkin method and Discontinuous Galerkin method.
His study in Domain decomposition methods is interdisciplinary in nature, drawing from both Iterative method and Scalability.
He most often published in these fields:
- Finite element method (29.23%)
- Algorithm (18.10%)
- Applied mathematics (16.94%)
What were the highlights of his more recent work (between 2014-2021)?
- Nonlinear system (16.24%)
- Model order reduction (5.80%)
- Applied mathematics (16.94%)
In recent papers he was focusing on the following fields of study:
His main research concerns Nonlinear system, Model order reduction, Applied mathematics, Mathematical optimization and Computational fluid dynamics.
Charbel Farhat has included themes like Artificial neural network, Algorithm, Computational model and Fluid–structure interaction in his Nonlinear system study.
He studies Algorithm, namely Reduction.
His Applied mathematics study integrates concerns from other disciplines, such as Flow, Finite element method, Galerkin method, Eigenvalues and eigenvectors and Finite volume method.
His Finite element method research integrates issues from Representation, Mathematical analysis and Boundary.
His studies deal with areas such as Lagrange multiplier and Discontinuous Galerkin method as well as Mathematical analysis.
Between 2014 and 2021, his most popular works were:
- Structure‐preserving, stability, and accuracy properties of the energy‐conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models (116 citations)
- Progressive construction of a parametric reduced-order model for PDE-constrained optimization (85 citations)
- Design optimization using hyper-reduced-order models (79 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Finite element method
- Algorithm
Charbel Farhat mainly investigates Nonlinear system, Mathematical optimization, Model order reduction, Applied mathematics and Partial differential equation.
His studies in Nonlinear system integrate themes in fields like Fluid–structure interaction, Algorithm, Residual and Reduced order.
Finite element method covers Charbel Farhat research in Fluid–structure interaction.
His Applied mathematics research incorporates themes from Factorization, Incomplete LU factorization, Euler's factorization method and Schur complement.
His research investigates the connection between Partial differential equation and topics such as Constrained optimization that intersect with issues in Aeroelasticity, Pointwise and Reduction.
His Mathematical analysis research is multidisciplinary, incorporating elements of Mixed finite element method and Constraint algorithm.
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