A review of level-set methods and some recent applications

By Frédéric Gibou, Ronald Fedkiw, Stanley J. Osher. Journal of Computational Physics, 2018

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Abstract We review some of the recent advances in level-set methods and their applications. In particular, we discuss how to impose boundary conditions at irregular domains and free boundaries, as well as the extension of level-set methods to adaptive Cartesian grids and parallel architectures. Illustrative applications are taken from the physical and life sciences. Fast sweeping methods are briefly discussed.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/c3cf164c645e5e5a3f4bf4c90d42ca784ba35d5d