BV estimates of Lax-Friedrichs’ scheme for a class of nonlinear hyperbolic conservation laws
نویسندگان
چکیده
منابع مشابه
Error Estimates for the Lax — Friedrichs Scheme for Balance Laws
In this paper we extend the result from [9] (V. Jovanović, C. Rohde, Error estimates for finite volume approximations of classical solutions for nonlinear systems of balance laws, SIAM J. Numer. Anal., 43 (2006)), where, among other things, an h — error estimate in the L — norm for the elastodynamics system has been established. We first derive the general error estimate from [9, Theorem 4.4] i...
متن کاملConvergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids
Based on Nessyahu and Tadmor’s nonoscillatory central difference schemes for one-dimensional hyperbolic conservation laws [16], for higher dimensions several finite volume extensions and numerical results on structured and unstructured grids have been presented. The experiments show the wide applicability of these multidimensional schemes. The theoretical arguments which support this are some m...
متن کاملLax-Friedrichs fast sweeping methods for steady state problems for hyperbolic conservation laws
Article history: Received 5 March 2012 Received in revised form 28 September 2012 Accepted 1 October 2012 Available online 23 October 2012
متن کاملLax-Friedrichs Multigrid Fast Sweeping Methods for Steady State Problems for Hyperbolic Conservation Laws
Fast sweeping methods are efficient Gauss–Seidel iterative numerical schemes originally designed for solving static Hamilton–Jacobi equations. Recently, these methods have been applied to solve hyperbolic conservation laws with source terms. In this paper, we propose Lax–Friedrichs fast sweeping multigrid methods which allow even more efficient calculations of viscosity solutions of stationary ...
متن کاملApproximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws
The Lax-Wendro↵ time discretization is an alternative method to the popular total variation diminishing Runge-Kutta time discretization of discontinuous Galerkin schemes for the numerical solution of hyperbolic conservation laws. The resulting fully discrete schemes are known as LWDG and RKDG methods, respectively. Although LWDG methods are in general more compact and e cient than RKDG methods ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06688-1