A second order central scheme for hamilton-jacobi equations on triangular grids Conference Paper uri icon

abstract

  • In this paper, we describe a Godunov-type fully discrete scheme for Hamilton-Jacobi equations on triangular meshes. This scheme is an extension of the Lin-Tadmor and Kurganov-Tadmor fully discrete nonoscillatory central schemes to unstructured triangular meshes. In this new construction, we propose a new, "genuinely multidimensional", nonoscillatory reconstruction. The construction is simple, universal and deviates from the existing high-order extensions of the central and central-upwind schemes for Hamilton-Jacobi equations. © Springer-Verlag Berlin Heidelberg 2009.

author list (cited authors)

  • Popov, P., & Popov, B.

publication date

  • July 2009