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Adaptive fast marching and level set methods for propagating interfaces. (English) Zbl 0930.65099

Summary: Adaptivity provides a way to construct optimal algorithms for tracking moving interfaces which arise in a wide collection of physical applications. Here, we summarize the development and interconnection between narrow band level set methods and fast marching methods, which provide efficient techniques for tracking fronts. We end with a small collection of examples to demonstrate the applicability of the techniques.

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35R35 Free boundary problems for PDEs
35L60 First-order nonlinear hyperbolic equations
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