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This paper concerns the study of a relaxation scheme for \(N\times N\) hyperbolic systems of conservation laws. In particular, with the compensated compactness techniques, we prove a rigorous result of convergence of the approximate solutions toward an entropy solution of the equilibrium system, as the relaxation time and the mesh size tend to zero.
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Received September 29, 1998 / Revised version received December 20, 1999 / Published online August 24, 2000
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Lattanzio, C., Serre, D. Convergence of a relaxation scheme for hyperbolic systems of conservation laws. Numer. Math. 88, 121–134 (2001). https://doi.org/10.1007/PL00005436
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DOI: https://doi.org/10.1007/PL00005436