Error Estimates for the Staggered Lax--Friedrichs Scheme on Unstructured Grids
نویسندگان
چکیده
منابع مشابه
Error Estimates for the Staggered Lax-Friedrichs Scheme on Unstructured Grids
Staggered grid finite volume methods (also called central schemes) were introduced in one dimension by Nessyahu and Tadmor in 1990 in order to avoid the necessity of having information on solutions of Riemann problems for the evaluation of numerical fluxes. We consider the general case in multidimensions and on general staggered grids which have to satisfy only an overlap assumption. We interpr...
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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...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2001
ISSN: 0036-1429,1095-7170
DOI: 10.1137/s0036142900374275