A converging finite volume scheme for hyperbolic conservation laws with source terms
β Scribed by J Santos; P de Oliveira
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 134 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
plementing the characteristic equations with appropriate jump relations, i.e., by solving the corresponding local Rie- The present work is concerned with an application of the theory of characteristics to conservation laws with source terms in one mann problem. space dimension, such as the Euler e
was studied by Hsiao and Liu [22] who showed that its solutions exhibit a long-time behavior governed by Hyperbolic systems often have relaxation terms that give them a partially conservative form and that lead to a long-time behavior governed by reduced systems that are parabolic in nature. In this
In this paper, an a posteriori error estimation technique for hyperbolic conservation laws is proposed. The error distributions are obtained by solving a system of equations for the errors which are derived from the linearized hyperbolic conservation laws. The error source term is estimated using th