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Linear co-volume scheme for anisotropic curvature driven motions

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • S. Corsaro

    (Complesso Universitario Monte S. Angelo, Center for Research on Parallel Computing and Supercomputers CPS-CNR)

  • V. De Simone

    (Università di Napoli “Federico II”)

  • A. Handlovičová

    (Slovak University of Technology, Department of Mathematics)

  • K. Mikula

    (Slovak University of Technology, Department of Mathematics)

  • F. Sgallari

    (University of Bologna, Department of Mathematics)

Abstract

Summary We introduce a linear semi-implicit complementary volume numerical scheme for solving level-set-like nonlinear diffusion equations arising in plane curve evolution driven by curvature and anisotropy. The scheme is L ∞ and W 1,1 stable and the efficiency is given by its linearity. Incomplete Cholesky preconditioners are used for computing rapidly the linear systems which arise. Computational results related to anisotropic mean curvature motion in a plane are presented.

Suggested Citation

  • S. Corsaro & V. De Simone & A. Handlovičová & K. Mikula & F. Sgallari, 2003. "Linear co-volume scheme for anisotropic curvature driven motions," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 483-493, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_45
    DOI: 10.1007/978-88-470-2089-4_45
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