What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Algebra
John W. Barrett mainly focuses on Mathematical analysis, Finite element method, Quantum gravity, Quantum mechanics and Partial differential equation.
The various areas that John W. Barrett examines in his Mathematical analysis study include Flow, Degenerate energy levels and Nonlinear system.
The study incorporates disciplines such as Elliptic curve, Numerical analysis, Curvature and Laplace operator in addition to Finite element method.
John W. Barrett is involved in the study of Quantum gravity that focuses on Spin foam in particular.
His research in Spin foam tackles topics such as Immirzi parameter which are related to areas like Asymptotic analysis.
His research in Quantum mechanics focuses on subjects like Mathematical physics, which are connected to Euclidean space, Boundary value problem and Gravitational field.
His most cited work include:
- Relativistic spin networks and quantum gravity (591 citations)
- A Lorentzian signature model for quantum general relativity (325 citations)
- Invariants of piecewise-linear 3-manifolds (226 citations)
What are the main themes of his work throughout his whole career to date?
John W. Barrett mainly investigates Mathematical analysis, Finite element method, Quantum gravity, Numerical analysis and Discretization.
As a member of one scientific family, John W. Barrett mostly works in the field of Mathematical analysis, focusing on Nonlinear system and, on occasion, Space.
His Finite element method study integrates concerns from other disciplines, such as Piecewise linear function, Partial differential equation, Curvature and Surface.
His work carried out in the field of Quantum gravity brings together such families of science as Asymptotic formula, Theoretical physics and Mathematical physics.
His Numerical analysis research is multidisciplinary, incorporating elements of Geometry and Applied mathematics.
John W. Barrett works mostly in the field of Spin foam, limiting it down to topics relating to Immirzi parameter and, in certain cases, Asymptotic analysis.
He most often published in these fields:
- Mathematical analysis (50.55%)
- Finite element method (38.55%)
- Quantum gravity (14.91%)
What were the highlights of his more recent work (between 2012-2021)?
- Mathematical analysis (50.55%)
- Finite element method (38.55%)
- Flow (9.82%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Mathematical analysis, Finite element method, Flow, Discretization and Parametric statistics.
His Mathematical analysis research includes themes of Mean curvature, Compressibility and Willmore energy.
His study in Finite element method is interdisciplinary in nature, drawing from both Mechanics, Rotational symmetry, Surface, Curvature and Numerical analysis.
His Curvature research incorporates themes from Hypersurface and Classical mechanics.
The concepts of his Discretization study are interwoven with issues in Mixed finite element method, Extended finite element method and Robustness.
John W. Barrett focuses mostly in the field of Nonlinear system, narrowing it down to matters related to Partial differential equation and, in some cases, Space.
Between 2012 and 2021, his most popular works were:
- Numerical computations of the dynamics of fluidic membranes and vesicles (27 citations)
- A stable numerical method for the dynamics of fluidic membranes (26 citations)
- Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers (26 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Algebra
Mathematical analysis, Finite element method, Discretization, Free boundary problem and Parametric statistics are his primary areas of study.
His Mathematical analysis study incorporates themes from Compressibility and Fuzzy sphere.
His studies deal with areas such as Compact space, Quadratic equation, Bounded function, Nonlinear system and Weak solution as well as Compressibility.
His Finite element method research incorporates elements of Motion, Numerical analysis, Curvature and Surface.
His Discretization study combines topics from a wide range of disciplines, such as Variational inequality and Extended finite element method.
His research in Free boundary problem intersects with topics in Flow and Classical mechanics.
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