A parallel two-scale method for eikonal equations

A Chacon, A Vladimirsky - SIAM Journal on Scientific Computing, 2015 - SIAM
Numerous applications of Eikonal equations prompted the development of many efficient
numerical algorithms. The Heap-Cell Method (HCM) is a recent serial two-scale technique …

A fast iterative method for solving the eikonal equation on tetrahedral domains

Z Fu, RM Kirby, RT Whitaker - SIAM Journal on Scientific Computing, 2013 - SIAM
Generating numerical solutions to the eikonal equation and its many variations has a broad
range of applications in both the natural and computational sciences. Efficient solvers on …

A parallel fast sweeping method for the Eikonal equation

M Detrixhe, F Gibou, C Min - Journal of Computational Physics, 2013 - Elsevier
We present an algorithm for solving in parallel the Eikonal equation. The efficiency of our
approach is rooted in the ordering and distribution of the grid points on the available …

Fast two-scale methods for eikonal equations

A Chacon, A Vladimirsky - SIAM Journal on Scientific Computing, 2012 - SIAM
Fast Marching and Fast Sweeping are the two most commonly used methods for solving the
eikonal equation. Each of these methods performs best on a different set of problems. Fast …

A fast iterative method for eikonal equations

WK Jeong, RT Whitaker - SIAM Journal on Scientific Computing, 2008 - SIAM
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 …

Fast iterative method in solving eikonal equations: a multi-level parallel approach

F Dang, N Emad - Procedia Computer Science, 2014 - Elsevier
The fast marching method is widely used to solve the eikonal equation. By introducing a new
way of managing propagation interfaces which avoid the use of expensive data structures …

A fast iterative method for solving the eikonal equation on triangulated surfaces

Z Fu, WK Jeong, Y Pan, RM Kirby, RT Whitaker - SIAM Journal on Scientific …, 2011 - SIAM
This paper presents an efficient, fine-grained parallel algorithm for solving the Eikonal
equation on triangular meshes. The Eikonal equation, and the broader class of Hamilton …

[PDF][PDF] A fast eikonal equation solver for parallel systems

W Jeong, R Whitaker - SIAM conference on Computational …, 2007 - researchgate.net
This paper presents a novel solver for the eikonal equation that is designed to run efficiently
on massively parallel systems. The proposed method manages a list of active nodes and …

A highly scalable massively parallel fast marching method for the Eikonal equation

J Yang, F Stern - Journal of Computational Physics, 2017 - Elsevier
The fast marching method is a widely used numerical method for solving the Eikonal
equation arising from a variety of scientific and engineering fields. It is long deemed …

A multi-gpu fast iterative method for eikonal equations using on-the-fly adaptive domain decomposition

S Hong, WK Jeong - Procedia Computer Science, 2016 - Elsevier
The recent research trend of Eikonal solver focuses on employing state-of-the-art parallel
computing technology, such as GPUs. Even though there exists previous work on GPU …