What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Statistics
- Thermodynamics
His primary scientific interests are in Finite element method, Mathematical optimization, Basis function, Applied mathematics and Eigenvalues and eigenvectors.
His work carried out in the field of Finite element method brings together such families of science as Grid, Mathematical analysis and Algorithm.
His research in Grid focuses on subjects like Boundary value problem, which are connected to Statistical physics.
The study incorporates disciplines such as Matrix decomposition, Vector field, Residual and Permeability in addition to Mathematical optimization.
His study looks at the relationship between Basis function and topics such as Flow, which overlap with Finite volume method and Channelized.
His research in Eigenvalues and eigenvectors intersects with topics in Space, Rate of convergence and Domain decomposition methods.
His most cited work include:
- Multiscale Finite Element Methods: Theory and Applications (411 citations)
- Generalized multiscale finite element methods (GMsFEM) (378 citations)
- Generalized multiscale finite element methods (GMsFEM) (378 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Finite element method, Basis function, Applied mathematics, Mathematical optimization and Grid.
His studies in Finite element method integrate themes in fields like Discretization, Mathematical analysis, Matrix decomposition and Nonlinear system.
His Basis function study integrates concerns from other disciplines, such as Basis, Algorithm, Residual, Wave equation and Discontinuous Galerkin method.
The various areas that Yalchin Efendiev examines in his Applied mathematics study include Flow, Domain decomposition methods, Porous medium, Computation and Space time.
His Mathematical optimization research is multidisciplinary, incorporating elements of Boundary value problem and Markov chain Monte Carlo.
He interconnects Space, Statistical physics and Fracture in the investigation of issues within Grid.
He most often published in these fields:
- Finite element method (53.89%)
- Basis function (53.89%)
- Applied mathematics (48.41%)
What were the highlights of his more recent work (between 2017-2021)?
- Applied mathematics (48.41%)
- Finite element method (53.89%)
- Basis function (53.89%)
In recent papers he was focusing on the following fields of study:
Yalchin Efendiev mainly investigates Applied mathematics, Finite element method, Basis function, Grid and Flow.
His Applied mathematics study combines topics from a wide range of disciplines, such as Space, Energy, Convection–diffusion equation and Space time.
His work deals with themes such as Discretization, Mathematical optimization, Boundary value problem and Rate of convergence, which intersect with Finite element method.
His biological study spans a wide range of topics, including Regularization, Fracture, Cluster analysis, Matrix decomposition and Eigenvalues and eigenvectors.
Yalchin Efendiev combines subjects such as Algorithm, Reduction, Frequency domain and System of linear equations with his study of Grid.
His study in Flow is interdisciplinary in nature, drawing from both Degrees of freedom, Finite volume method, Porous medium and Nonlinear system.
Between 2017 and 2021, his most popular works were:
- Constraint Energy Minimizing Generalized Multiscale Finite Element Method (77 citations)
- Non-local Multi-continua Upscaling for Flows in Heterogeneous Fractured Media (55 citations)
- Multiscale model reduction for shale gas transport in poroelastic fractured media (40 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Statistics
- Thermodynamics
His scientific interests lie mostly in Basis function, Flow, Finite element method, Artificial intelligence and Deep learning.
His studies link Applied mathematics with Basis function.
His Flow research integrates issues from Grid and Discontinuous Galerkin method.
His research integrates issues of Rate of convergence, Poromechanics, Boundary value problem and Fracture in his study of Finite element method.
His Rate of convergence study incorporates themes from Basis, Eigenvalues and eigenvectors and Mathematical optimization.
His Artificial intelligence research includes elements of Algorithm, Degrees of freedom and Nonlinear system.
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