Results 11 to 20 of about 3,552,226 (242)
Numerical analysis of eikonal equation [PDF]
Saratov Fall Meeting 2018: Laser Physics, Photonic Technologies, and Molecular Modeling, 2019 The Maxwell equations have a fairly simple form. However, finding solutions of Maxwell's equations is an extremely difficult task. Therefore, various simplifying approaches are often used in optics. One such simplifying approach is to use the approximation of geometric optics.
Kulyabov D.S. +3 more
core +6 more sources
Eikonal Equation Reproduces Natural Landscapes With Threshold Hillslopes [PDF]
Geophysical Research Letters, 2023 Many natural landscapes maintain steep planar hillslopes bounded at a typical angle, beyond which shallow landslides or slope failures remove the excess sediment volume by mass wasting.
Shashank Kumar Anand +3 more
doaj +3 more sources
A kinetic eikonal equation [PDF]
Comptes Rendus. Mathématique, 2012 We analyse the linear kinetic transport equation with a BGK relaxation operator. We study the large scale hyperbolic limit ( t , x ) → (
Bouin, Emeric, Calvez, Vincent
core +5 more sources
Neural Eikonal Solver: improving accuracy of physics-informed neural networks for solving eikonal equation in case of caustics [PDF]
Journal of Computational Physics, 2022 The concept of physics-informed neural networks has become a useful tool for solving differential equations due to its flexibility. There are a few approaches using this concept to solve the eikonal equation which describes the first-arrival traveltimes ...
Duchkov, Anton +2 more
core +2 more sources
Solving the eikonal equation for compressional and shear waves in anisotropic media using peridynamic differential operator [PDF]
, 2022 Traveltimes of compressional (P) and shear (S) waves have proven essential in many earthquake and exploration seismology applications. An accurate and efficient traveltime computation for P and S waves is crucial for the success of these applications ...
Haghighat, E. +9 more
core +2 more sources
On Complex Solutions of the Eikonal Equation
2007 International Conference on Electromagnetics in Advanced Applications, 2007 In this paper a new approach of complex rays in an inhomogeneous medium is presented. Complex rays are complex solutions of the eikonal equation, the main equation of the geometrical optics. It is shown that solving the eikonal equation by using the characteristic method naturally leads to the pseudoriemann and Minkowski geometries.
Hasanoğlu, Elman, Elman Hasanov
openaire +3 more sources
Optimal Besov differentiability for entropy solutions of the Eikonal equation [PDF]
Communications on Pure and Applied Mathematics, 2020 International audienceIn this paper we study the Eikonal equation in a bounded planar domain. We prove the equivalence among optimal Besov regularity, the finiteness of every entropy production and the validity of a kinetic ...
Ghiraldin, Francesco +3 more
core +2 more sources
A Regularizing Property of the 2D-Eikonal Equation [PDF]
Communications in Partial Differential Equations, 2015 We prove that any $2$-dimensional solution $ψ\in W_{loc}^{1+\frac 1 3, 3}$ of the eikonal equation has locally Lipschitz gradient $\nabla ψ$ except at a locally finite number of vortices.
de Lellis, Camillo, Ignat, Radu
openaire +7 more sources
A note on Berwald eikonal equation
Journal of Physics: Conference Series, 2016 In this study, firstly, we generalize Berwald map by introducing the concept of a Riemannian map. After that we find Berwald eikonal equation through using the Berwald map. The eikonal equation of geometrical optic that examining light reflects, refracts at smooth, plane interfaces is obtained for Berwald condition.
Cumali Ekici, Çimdiker Muradiye
openaire +2 more sources