An optimal error estimate for upwind finite volume methods for nonlinear hyperbolic conservation laws (Q643354)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: An optimal error estimate for upwind finite volume methods for nonlinear hyperbolic conservation laws |
scientific article; zbMATH DE number 5965568
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An optimal error estimate for upwind finite volume methods for nonlinear hyperbolic conservation laws |
scientific article; zbMATH DE number 5965568 |
Statements
An optimal error estimate for upwind finite volume methods for nonlinear hyperbolic conservation laws (English)
0 references
28 October 2011
0 references
It is well known that the classical cell-centred finite volume schemes lack consistency in case that the cells being skewed. In this paper it is proven that cell-centred finite volume schemes approximate smooth solutions to systems of hyperbolic conservation laws at order one in space and time. A correction is constructed so that the lack of consistency can be circumvented in case of nonlinear systems in one space dimension.
0 references
Finite volume method
0 references
systems of hyperbolic conservation laws
0 references
stability
0 references
convergence
0 references
consistency
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0.96314764
0 references
0.9390909
0 references
0.91228724
0 references
0.9101788
0 references
0.90942144
0 references
0.9036843
0 references
0.9030418
0 references
