What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Geometry
- Partial differential equation
The scientist’s investigation covers issues in Mathematical analysis, Boundary value problem, Wave equation, Discretization and Partial differential equation.
His studies in Mathematical analysis integrate themes in fields like Wave propagation, Geometry, Scattering and Acoustic wave.
The study incorporates disciplines such as Boundary and Maxwell's equations in addition to Boundary value problem.
In his study, Numerical integration and Dirichlet problem is strongly linked to Initial value problem, which falls under the umbrella field of Wave equation.
His Discretization study incorporates themes from Numerical analysis, Numerical stability, Domain decomposition methods and Fictitious domain method.
His Partial differential equation study combines topics from a wide range of disciplines, such as Scalar field, Finite difference and Order.
His most cited work include:
- Stability of perfectly matched layers, group velocities and anisotropic waves (290 citations)
- Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation (161 citations)
- Higher order paraxial wave equation approximations in heterogenous media (142 citations)
What are the main themes of his work throughout his whole career to date?
Mathematical analysis, Wave propagation, Boundary value problem, Numerical analysis and Discretization are his primary areas of study.
His research is interdisciplinary, bridging the disciplines of Boundary and Mathematical analysis.
His work is dedicated to discovering how Wave propagation, Classical mechanics are connected with Isotropy and other disciplines.
His Boundary value problem research is multidisciplinary, relying on both Fractal and Scattering.
His biological study spans a wide range of topics, including Computation and Applied mathematics.
His Discretization research includes themes of Finite difference, Numerical stability, Spectral method, Computer simulation and Fictitious domain method.
He most often published in these fields:
- Mathematical analysis (57.08%)
- Wave propagation (22.17%)
- Boundary value problem (19.81%)
What were the highlights of his more recent work (between 2012-2020)?
- Mathematical analysis (57.08%)
- Maxwell's equations (15.09%)
- Spectral theory (4.72%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Mathematical analysis, Maxwell's equations, Spectral theory, Wave propagation and Electromagnetic radiation.
When carried out as part of a general Mathematical analysis research project, his work on Asymptotic expansion, Helmholtz equation and Asymptotic analysis is frequently linked to work in Periodic graph and Work, therefore connecting diverse disciplines of study.
The Maxwell's equations study combines topics in areas such as Coaxial and Optics, Metamaterial.
His work carried out in the field of Wave propagation brings together such families of science as Fractal, Pythagoras tree, Boundary value problem and Wave equation.
His study in Boundary value problem is interdisciplinary in nature, drawing from both Scalar field, Helmholtz decomposition and Displacement field.
The various areas that Patrick Joly examines in his Wave equation study include Waveguide, Radiation and Photonic crystal.
Between 2012 and 2020, his most popular works were:
- Modeling and simulation of a grand piano (30 citations)
- Solutions of the Time-Harmonic Wave Equation in Periodic Waveguides: Asymptotic Behaviour and Radiation Condition (27 citations)
- On the Well-Posedness , Stability And Accuracy Of An Asymptotic Model For Thin Periodic Interfaces In Electromagnetic Scattering Problems (21 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Geometry
- Partial differential equation
His main research concerns Mathematical analysis, Maxwell's equations, Electromagnetic radiation, Wave propagation and Lossy compression.
His work on Asymptotic expansion and Wave equation as part of general Mathematical analysis study is frequently connected to Work, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.
His research in Wave equation intersects with topics in Time harmonic and Photonic crystal.
His Maxwell's equations research is multidisciplinary, incorporating elements of Instability, Optics, Perfectly matched layer, System of linear equations and Fourier analysis.
Patrick Joly has included themes like Spectral theory and Asymptotic analysis in his Electromagnetic radiation study.
His Wave propagation study incorporates themes from Laplace transform, Integral equation, Bilinear form and Boundary.
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