Pointwise error estimates for relaxation approximations to conservation laws (Q2706216)
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: Pointwise error estimates for relaxation approximations to conservation laws |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pointwise error estimates for relaxation approximations to conservation laws |
scientific article |
Statements
19 March 2001
0 references
relaxation method
0 references
optimal convergence rate
0 references
one-sided interpolation inequality
0 references
maximum principle
0 references
Pointwise error estimates for relaxation approximations to conservation laws (English)
0 references
The author considers the relaxation approximation solution for conservation laws. Based on a one-sided interpolation inequality between the \(L^1\) error estimate and \(\text{Lip}^+\) stability bounds, and on the maximum principle for weakly coupled hyperbolic systems, the author proves sharp pointwise error estimates for the relaxation approximation solution, and this convergence rate is optimal.
0 references
