A Second Order Central Scheme for Hamilton-Jacobi Equations on Triangular Grids Conference Paper

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.

authors

• Popov, Bojan

published proceedings

• NUMERICAL ANALYSIS AND ITS APPLICATIONS

author list (cited authors)

• Popov, P., & Popov, B.

complete list of authors

• Popov, Peter||Popov, Bojan

publication date

• July 2009

published in

• Lecture Notes in Artificial Intelligence  Journal

Digital Object Identifier (DOI)

• 10.1007/978-3-642-00464-3-55

International Standard Book Number (ISBN) 10

• 3642004636

International Standard Book Number (ISBN) 13

• 978-3-642-00463-6

start page

• 476

end page

• +

volume

• 5434