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The wave equation: From eikonal to anti-eikonal approximation
Modern Electronic Materials, 2016 When the refractive index changes very slowly compared to the wave-length we may use the eikonal approximation to the wave equation. In the opposite case, when the refractive index highly variates over the distance of one wave-length, we have what can be
Luis Vázquez +2 more
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On the Subelliptic Eikonal Equation
Bruno Pini Mathematical Analysis Seminar, 2017 On a bounded smooth domain, we consider the viscosity solution of the homogeneous Dirichlet problem for the eikonal equation associated with a system of Hörmander’s vector fields.
Paolo Albano
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Computational solutions for Eikonal equation by differential quadrature method
Alexandria Engineering Journal, 2022 This article presents an efficient method to solve of Eikonal equation by the new differential quadrature method. The purpose of this article is to obtain the accuracy and performance method for the Eikonal equation.
Mehrullah Mehr, Davood Rostamy
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Jet Marching Methods for Solving the Eikonal Equation [PDF]
SIAM Journal of Scientific Computing, 2021 26 pages, 11 figures, 2 ...
Samuel F Potter, Maria K Cameron
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On Classification of Symmetry Reductions for the Eikonal Equation [PDF]
Symmetry, 2016 We study the relationship between the classification of three-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P ( 1 , 4 ) and the types of symmetry reduction of the eikonal equation to ordinary differential equations (ODEs).
Vasyl Fedorchuk
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Tug of War games and PDEs on graphs with applications in image and high dimensional data processing [PDF]
Scientific Reports, 2023 The aim of this note is to revisit the connections between some stochastic games, namely Tug-of-War games, and a class of nonlocal PDEs on graphs. We consider a general formulation of Tug-of-War games which is shown to be related to many classical PDEs ...
Hamza Ennaji +2 more
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A Fast Iterative Method for Solving the Eikonal Equation on Triangulated Surfaces [PDF]
SIAM Journal of Scientific Computing, 2011 Zhisong Fu +2 more
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Methodological derivation of the eikonal equation
Discrete and Continuous Models and Applied Computational Science, 2023 Usually, when working with the eikonal equation, reference is made to its derivation in the monograph by Born and Wolf. The derivation of this equation was done rather carelessly.
Arseny V. Fedorov +4 more
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Microseismic Location Error Due to Eikonal Traveltime Calculation
Applied Sciences, 2021 The accuracy of computed traveltimes in a velocity model plays a crucial role in localization of microseismic events. The conventional approach usually utilizes robust fast sweeping or fast marching methods to solve the eikonal equation numerically with ...
Dmitry Alexandrov +2 more
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Nonlinear Engineering, 2021 Many important natural phenomena of wave propagations are modeled by Eikonal equations and a variety of new methods are needed to solve them. The differential quadrature method (DQM) is an effective numerical method for solving the system of differential
Meher Mehrollah, Rostamy Davood
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