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- Patrick Joly

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
38
Citations
5,691
202
World Ranking
1583
National Ranking
87

Engineering and Technology
D-index
34
Citations
4,833
166
World Ranking
5803
National Ranking
142

- 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.

- 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)

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.

- Mathematical analysis (57.08%)
- Wave propagation (22.17%)
- Boundary value problem (19.81%)

- Mathematical analysis (57.08%)
- Maxwell's equations (15.09%)
- Spectral theory (4.72%)

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.

- 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)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Stability of perfectly matched layers, group velocities and anisotropic waves

E. Bécache;S. Fauqueux;P. Joly.

Journal of Computational Physics **(2003)**

512 Citations

Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation

G. Cohen;P. Joly;J. E. Roberts;N. Tordjman.

SIAM Journal on Numerical Analysis **(2000)**

265 Citations

Higher order paraxial wave equation approximations in heterogenous media

A. Bamberger;B. Engquist;L. Halpern;P. Joly.

Siam Journal on Applied Mathematics **(1988)**

244 Citations

An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems

E. Bécache;P. Joly.

SIAM Journal on Numerical Analysis **(2000)**

192 Citations

Domain Decomposition Method for Harmonic Wave Propagation : A General Presentation

Francis Collino;Souad Ghanemi;Patrick Joly.

Computer Methods in Applied Mechanics and Engineering **(2000)**

164 Citations

On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations

Eliane Bécache;Patrick Joly.

Mathematical Modelling and Numerical Analysis **(2002)**

162 Citations

A time domain analysis of PML models in acoustics

Julien Diaz;Patrick Joly.

Computer Methods in Applied Mechanics and Engineering **(2006)**

141 Citations

Second-order absorbing boundary conditions for the wave equation: a solution for the corner problem

Alain Bamberger;P. Joly;Jean E. Roberts.

SIAM Journal on Numerical Analysis **(1990)**

138 Citations

Parabolic wave equation approximations in heterogenous media

A. Bamberger;B. Engquist;L. Halpern;P. Joly.

Siam Journal on Applied Mathematics **(1988)**

126 Citations

GENERALIZED IMPEDANCE BOUNDARY CONDITIONS FOR SCATTERING BY STRONGLY ABSORBING OBSTACLES: THE SCALAR CASE

Houssem Haddar;Patrick Joly;Hoai Minh Nguyen.

Mathematical Models and Methods in Applied Sciences **(2005)**

120 Citations

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