We propose a new scheme for the level set approximation of motion by mean curvature (MCM). The scheme originates from a representation formula recently given by Soner and Touzi, which allows to construct large time–step, Godunov–type schemes. One such scheme is presented and its consistency is analysed. We also provide and discuss some numerical tests.
Falcone, M., Ferretti, R. (2003). Consistency of a large time-step scheme for mean curvature motion. In Numerical Mathematics and Advanced Applications - ENUMATH 2001 (pp.495-502). MILANO : Springer-Verlag Italia.
Consistency of a large time-step scheme for mean curvature motion
FERRETTI, Roberto
2003-01-01
Abstract
We propose a new scheme for the level set approximation of motion by mean curvature (MCM). The scheme originates from a representation formula recently given by Soner and Touzi, which allows to construct large time–step, Godunov–type schemes. One such scheme is presented and its consistency is analysed. We also provide and discuss some numerical tests.File in questo prodotto:
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