We develop a fast sweeping method for static Hamilton–Jacobi equations with convex Hamiltonians. Local solvers and fast sweeping strategies apply to structured and unstructured meshes. With causality correctly enforced during sweepings numerical evidence indicates that the fast sweeping method converges in a finite number of iterations independent of mesh size. Numerical examples validate both the accuracy and the efficiency of the new method.
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In memory of Xu-Dong Liu.
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Qian, J., Zhang, YT. & Zhao, HK. A Fast Sweeping Method for Static Convex Hamilton–Jacobi Equations. J Sci Comput 31, 237–271 (2007). https://doi.org/10.1007/s10915-006-9124-6
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DOI: https://doi.org/10.1007/s10915-006-9124-6