Results 201 to 210 of about 3,552,226 (242)

An iterative fast sweeping method for the eikonal equation in 2D anisotropic media on unstructured triangular meshes

, 2021
Computation of traveltimes and raypaths is important for anisotropic tomography inversions. The eikonal-equation-based method outperforms traditional ray methods by producing more accurate results. However, most existing eikonal solvers are formulated on
Qingyu Zhang, Xiao Ma, Y. Nie
semanticscholar   +1 more source

Eikonal equation-based P-wave seismic azimuthal anisotropy tomography of the crustal structure beneath northern California

, 2021
Delineating spatial variations of seismic anisotropy in the crust is of great importance for the understanding of structural heterogeneities, regional stress regime and ongoing crustal dynamics.
Yongsheng Liu, P. Tong
semanticscholar   +1 more source

PyKonal: A Python Package for Solving the Eikonal Equation in Spherical and Cartesian Coordinates Using the Fast Marching Method

Seismological Research Letters, 2020
This article introduces PyKonal: a new open-source Python package for computing travel times and tracing ray paths in 2D or 3D heterogeneous media using the fast marching method for solving the eikonal equation in spherical and Cartesian coordinates ...
Malcolm C. A. White, H. Fang, N. Nakata, Y. Ben‐Zion   +3 more
semanticscholar   +1 more source

A fast marching algorithm for the factored eikonal equation [PDF]

Journal of Computational Physics, 2016
The eikonal equation is instrumental in many applications in several fields ranging from computer vision to geoscience. This equation can be efficiently solved using the iterative Fast Sweeping (FS) methods and the direct Fast Marching (FM) methods ...
Eran Treister, Eldad Haber
exaly   +2 more sources

A new method for solving the eikonal equation in the spherical computing domain

Mathematical methods in the applied sciences, 2020
In order to overcome the problem of singularities and nonuniform grids arising when solving eikonal equation in spherical coordinate systems, a spherical Cartesian coordinate system is defined and the Hamiltonian form of the eikonal equation according to
Guoxu Feng, Jun Huang
semanticscholar   +1 more source

Entire solutions of a variation of the eikonal equation and related PDEs

Proceedings of the Edinburgh Mathematical Society, 2020
The aim of this paper is twofold. The first aim is to describe the entire solutions of the partial differential equation (PDE) $u_{z_1}^2+2Bu_{z_1}u_{z_2}+u_{z_2}^2=e^g$, where B is a constant and g is a polynomial or an entire function in $\mathbb {C}^2$
F. Lü
semanticscholar   +1 more source

Solving the Eikonal equation on an adaptive mesh

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul Covello, Garry Rodrigue
openaire   +2 more sources

Eikonal Equation for Anisotropic Media

Journal of Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A Fast Iterative Method for Eikonal Equations

SIAM Journal on Scientific Computing, 2008
In this paper we propose a novel computational technique to solve the Eikonal equation efficiently on parallel architectures. The proposed method manages the list of active nodes and iteratively updates the solutions on those nodes until they converge.
Won-Ki Jeong, Ross T. Whitaker
openaire   +2 more sources

Geodesic vector fields and Eikonal equation on a Riemannian manifold

Indagationes mathematicae, 2019
In this paper, we study the impact of geodesic vector fields (vector fields whose trajectories are geodesics) on the geometry of a Riemannian manifold. Since, Killing vector fields of constant lengths on a Riemannian manifold are geodesic vector fields ...
Sharief Deshmukh, V. Khan
semanticscholar   +1 more source