Results 21 to 30 of about 3,552,226 (242)
Adaptation of Eikonal Equation over Weighted Graph
, 2009 In this paper, an adaptation of the eikonal equation is proposed by considering the latter on weighted graphs of arbitrary structure. This novel approach is based on a family of discrete morphological local and nonlocal gradients expressed by partial difference equations (PdEs).
Vinh-Thong Ta 0002 +2 more
openaire +3 more sources
On the validity of the eikonal equation for surface-wave phase-velocity tomography
Geophysical Journal International, 2020 International audienceS U M M A R Y The phase velocity of surface waves can be directly determined from the amplitude and phase of the regional wavefield using the Helmholtz equation.
Lehujeur, M, Chevrot, Sébastien
core +2 more sources
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes [PDF]
Computers and Mathematics with Applications, 2023 In this paper, we propose a numerical algorithm based on a cell-centered finite volume method to compute a distance from given objects on a three-dimensional computational domain discretized by polyhedral cells. Inspired by the vanishing viscosity method,
J. Hahn, K. Mikula, P. Frolkovic
semanticscholar +1 more source
ESAIM: Proceedings and Surveys, 2018 We present a shape-oriented data assimilation strategy suitable for front-tracking problems through the example of wildfire. The concept of “front” is used to model, at regional scales, the burning area delimitation that moves, undergoes shape and ...
Rochoux M.C. +5 more
doaj +2 more sources
An acoustic eikonal equation for attenuating orthorhombic media
, 2017 Attenuating orthorhombic models are often used to describe the azimuthal variation of the seismic wave velocity and amplitude in finely layered hydrocarbon reservoirs with vertical fractures.
Hao, Qi, Alkhalifah, Tariq Ali
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Bayesian Physics-Informed Neural Networks for the Subsurface Tomography Based on the Eikonal Equation [PDF]
IEEE Transactions on Geoscience and Remote Sensing, 2022 The high cost of acquiring a sufficient amount of seismic data for training has limited the use of machine learning in seismic tomography. In addition, the inversion uncertainty due to the noisy data and data scarcity is less discussed in the ...
Rongxi Gou +3 more
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An Eikonal Equation with Vanishing Lagrangian Arising in Global Optimization [PDF]
Applied Mathematics and Optimization, 2022 We show a connection between global unconstrained optimization of a continuous function f and weak KAM theory for an eikonal-type equation arising also in ergodic control. A solution v of the critical Hamilton–Jacobi equation is built by a small discount
M. Bardi, Hicham Kouhkouh
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Factorization for entropy production of the Eikonal equation and regularity [PDF]
Indiana University Mathematics Journal, 2021 The Eikonal equation arises naturally in the limit of the second order Aviles-Giga functional whose $\Gamma$-convergence is a long standing challenging problem.
A. Lorent, G. Peng
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EikoNet: Solving the Eikonal Equation With Deep Neural Networks [PDF]
IEEE Transactions on Geoscience and Remote Sensing, 2020 The recent deep learning revolution has created enormous opportunities for accelerating compute capabilities in the context of physics-based simulations. In this article, we propose EikoNet, a deep learning approach to solving the Eikonal equation, which
Jonathan D. Smith +2 more
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Journal of Geophysical Research: Solid Earth, 2021 Ray tracing is avoidable in seismic traveltime tomography. In this study, seismic traveltime tomography is reformulated as an eikonal equation‐constrained optimization problem solved by the ray‐free adjoint‐state method.
P. Tong
semanticscholar +1 more source