Numerical convergence rate for a diffusive limit of hyperbolic systems: $p$-system with damping

Author:

Berthon Christophe,Bessemoulin-Chatard Marianne,Mathis Hélène

Publisher

Cellule MathDoc/CEDRAM

Reference30 articles.

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2. [2] Bianchini, S.; Hanouzet, B.; Natalini, R. Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy, Comm. Pure Appl. Math., Volume 60 (2007) no. 11, pp. 1559-1622

3. [3] Blachère, F.; Turpault, R. An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes, Journal of Computational Physics (2016)

4. [4] Buet, C.; Després, B.; Franck, E. Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes, Numerische Mathematik, Volume 122 (2012) no. 2, pp. 227-278

5. [5] Buet, C.; Després, B.; Franck, E.; Leroy, T. Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes, Math. of Comp. (2016)

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