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Consistency of a large time-step scheme for mean curvature motion

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • M. Falcone

    (Università di Roma “La Sapienza”, Dipartimento di Matematica)

  • R. Ferretti

    (Universitá di Roma Tre, Dipartimento di Matematica)

Abstract

Summary 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 us to construct large time-step, Godunov-type schemes. One such scheme is presented and its consistency is analyzed. We also provide and discuss some numerical tests.

Suggested Citation

  • M. Falcone & R. Ferretti, 2003. "Consistency of a large time-step scheme for mean curvature motion," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 495-502, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_46
    DOI: 10.1007/978-88-470-2089-4_46
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