What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Finite element method
- Numerical analysis
His scientific interests lie mostly in Mathematical analysis, Finite element method, Discontinuous Galerkin method, Applied mathematics and Navier–Stokes equations.
His work in Mathematical analysis addresses issues such as Boundary, which are connected to fields such as Convection–diffusion equation, Time derivative and Nonlinear system.
His Finite element method study integrates concerns from other disciplines, such as Vortex shedding, Computational fluid dynamics, Active flow control and Euler equations.
His work carried out in the field of Discontinuous Galerkin method brings together such families of science as Conservation law, Discretization, Turbulence modeling, Stokes flow and Augmented Lagrangian method.
The concepts of his Applied mathematics study are interwoven with issues in Flow, Backward Euler method, Multivariate interpolation, Mathematical optimization and Computation.
His study looks at the relationship between Navier–Stokes equations and topics such as Euler's formula, which overlap with Flux-corrected transport, Extended finite element method and Classical mechanics.
His most cited work include:
- Adaptive remeshing for compressible flow computations (925 citations)
- Balanced Model Reduction via the Proper Orthogonal Decomposition (746 citations)
- Sub-Cell Shock Capturing for Discontinuous Galerkin Methods (408 citations)
What are the main themes of his work throughout his whole career to date?
Jaime Peraire focuses on Applied mathematics, Discontinuous Galerkin method, Mathematical analysis, Finite element method and Mathematical optimization.
His research in Applied mathematics focuses on subjects like Flow, which are connected to Laminar flow.
His biological study spans a wide range of topics, including Galerkin method, Nonlinear system, Discretization, Conservation law and Finite volume method.
As a member of one scientific family, Jaime Peraire mostly works in the field of Mathematical analysis, focusing on Navier–Stokes equations and, on occasion, Flux-corrected transport.
He has included themes like Computational fluid dynamics, Euler equations, Compressible flow, Inviscid flow and Numerical analysis in his Finite element method study.
His study looks at the intersection of Mathematical optimization and topics like Polygon mesh with Topology.
He most often published in these fields:
- Applied mathematics (29.57%)
- Discontinuous Galerkin method (30.00%)
- Mathematical analysis (28.26%)
What were the highlights of his more recent work (between 2017-2021)?
- Discontinuous Galerkin method (30.00%)
- Applied mathematics (29.57%)
- Plasmon (3.04%)
In recent papers he was focusing on the following fields of study:
Jaime Peraire spends much of his time researching Discontinuous Galerkin method, Applied mathematics, Plasmon, Coaxial and Wave propagation.
His studies deal with areas such as Mechanics and Transonic as well as Discontinuous Galerkin method.
His research integrates issues of Partial differential equation, Numerical stability, Finite element method and Nonlinear system in his study of Applied mathematics.
His study focuses on the intersection of Numerical stability and fields such as Euler's formula with connections in the field of Navier–Stokes equations and Fluid dynamics.
Finite element method and Symplectic integrator are two areas of study in which Jaime Peraire engages in interdisciplinary work.
In his study, which falls under the umbrella issue of Wave propagation, Waveguide, Computation and Basis is strongly linked to Photonic crystal.
Between 2017 and 2021, his most popular works were:
- High-Contrast Infrared Absorption Spectroscopy via Mass-Produced Coaxial Zero-Mode Resonators with Sub-10 nm Gaps (44 citations)
- A hybridizable discontinuous Galerkin method for computing nonlocal electromagnetic effects in three-dimensional metallic nanostructures (20 citations)
- Modeling and observation of mid-infrared nonlocality in effective epsilon-near-zero ultranarrow coaxial apertures. (14 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Numerical analysis
His primary areas of study are Discontinuous Galerkin method, Applied mathematics, Plasmon, Nonlinear system and Robustness.
His Discontinuous Galerkin method research incorporates themes from Wave propagation, Wavelength and Algorithm.
His studies in Wave propagation integrate themes in fields like Partial differential equation and Galerkin method.
Jaime Peraire interconnects Transmittance, Nanophotonics and Metamaterial in the investigation of issues within Plasmon.
His Nonlinear system study combines topics from a wide range of disciplines, such as Numerical diffusion, Upwind scheme, Numerical stability and Large deformation.
He has researched Robustness in several fields, including Modal analysis and Euler's formula.
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