A fast level set method for propagating interfaces. (English) Zbl 0823.65137

The level technique was introduced to track moving interfaces in a wide variety of problems. It relies on the relation between propagating interfaces and propagating shocks.
In the present paper one provides a technique to reduce the computational labor involved in the level set technique for two space dimensions. The central idea is to build an adaptive mesh around the propagating interface, and to perform computation only on these grid points. Some illustrative examples are given.


65Z05 Applications to the sciences
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35R35 Free boundary problems for PDEs
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