Stability and Consistency of the Semi-implicit Co-volume Scheme for Regularized Mean Curvature Flow Equation in Level Set Formulation

نویسندگان

  • ANGELA HANDLOVIČOVÁ
  • KAROL MIKULA
چکیده

Abstract. We show stability and consistency of the linear semi-implicit complementary volume numerical scheme for solving the regularized, in the sense of Evans and Spruck, mean curvature flow equation in the level set formulation. The numerical method is based on the finite volume methodology using so-called complementary volumes to a finite element triangulation. The scheme gives solution in efficient and unconditionaly stable way.

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تاریخ انتشار 2008