Advances in fast marching and level set methods for propagating interfaces. (English) Zbl 0929.65066

Fey, Michael (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the 7th international conference, Zürich, Switzerland, February 1998. Vol. II. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 130, 855-864 (1999).
Summary: We summarize recent advances in level set methods and fast marching methods for propagating interfaces, which are computational techniques for tracking evolving fronts in two and three space dimensions. Here, we review the interconnection between the two techniques, discuss the recent extension of level set techniques to triangulated unstructured meshes, and provide a few examples of these techniques.
For the entire collection see [Zbl 0911.00029].


65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws