Summary
Using an Eikonal formulation, we model the surface of sandpiles formed in regions containing obstacles. The fast marching method is adapted to have the optimal rate of convergence. We also apply the fast marching method to an industrial problem.
This research was supported by the National Science Foundation (NSF) through grant DMS-0244488.
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Kuster, C.M., Gremaud, P.A. (2006). Accurately Computing the Shape of Sandpiles. In: Hager, W.W., Huang, SJ., Pardalos, P.M., Prokopyev, O.A. (eds) Multiscale Optimization Methods and Applications. Nonconvex Optimization and Its Applications, vol 82. Springer, Boston, MA. https://doi.org/10.1007/0-387-29550-X_15
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DOI: https://doi.org/10.1007/0-387-29550-X_15
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