The Solution of Nonstrictly Hyperbolic Conservation Laws May Be Hard to Compute
β Scribed by Tveito, Aslak; Winther, Ragnar
- Book ID
- 118188043
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1995
- Tongue
- English
- Weight
- 982 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1064-8275
- DOI
- 10.1137/0916021
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π SIMILAR VOLUMES
A convergence theorem for the vanishing viscosity method and for the Lax-Friedrichs schemes, applied to a nonstrictly hyperbolic and nongenuinely nonlinear system is established. Using the theory of compensated compactness we prove convergence of a subsequence in the strong topology. (~) 1999 Elsevi
We propose a rigorous procedure to obtain the adjoint-based gradient representation of cost functionals for the optimal control of discontinuous solutions of conservation laws. Hereby, it is not necessary to introduce adjoint variables for the shock positions. Our approach is based on stability prop