A generalized front marching algorithm for the solution of the eikonal equation.
type: Item
instance of: scholarly article
title: A generalized front marching algorithm for the solution of the eikonal equation.
zbMATH Open document ID: 1037.65082
DOI: 10.1016/S0377-0427(03)00360-1
author: Paul Covello
author: Garry Rodrigue
published in: Journal of Computational and Applied Mathematics
publication date: 2003-08-07T00:00:00Z
review text: The purpose of this paper is to study a new front marching algorithm towards solving the eikonal equation. The algorithm can be used on nodes that are located on highly distorted grids or on nodes that are randomly located. The accuracy of the method depends on the principle curvature of the wave front solution. Extensive numerical experiments are presented (for a variety of node configurations, shadow, nonconvex and nondifferentiable solutions).
reviewed by: Marek Brandner
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 78M20
Mathematics Subject Classification ID: 80M20
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 78A10
Mathematics Subject Classification ID: 80A25
zbMATH DE Number: 1961627
zbMATH Keywords: eikonal equation
zbMATH Keywords: wave front solution
zbMATH Keywords: numerical experiments
zbMATH Keywords: wave optics
zbMATH Keywords: detonations
zbMATH Keywords: front marching algorithms
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1961627