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A PARALLEL TWO-SCALE METHOD FOR EIKONAL EQUATIONS
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DOI：10.1137/12088197X.png)
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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 that has been shown to have advantages over other serial state-of-the-art solvers for a wide range of problems [A. Chacon and A. Vladimirsky, SIAM J. Sci. Comput., 34 (2012), pp. A547-A578]. This paper presents a parallelization of HCM for a shared memory architecture. The numerical experiments in R-3 show that the parallel HCM exhibits good algorithmic behavior and scales well, resulting in a very fast and practical solver.
Keyword:
Eikonal equation
parallel algorithms
domain decomposition
causal numerical methods
optimal control
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