Convergence of relaxation schemes for conservation laws |
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Authors: | Denise Aregba-Driollet Roberto Natalini |
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Institution: | 1. Mathématiques Appliquées , Universié de Bordeaux I , Talence Cedex, F-33405, France;2. Consiglio Nazionale delle Ricerche , Istituto per le Applicazioni del Calcolo" M. Picone" , Rome, I-00161, Italia |
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Abstract: | We study the stability and the convergence for a class of relaxing numerical schemes for conservation laws. Following the approach recently proposed by S. Jin and Z. Xin we use a semilinear local relaxation approximation, with a stiff lower order term, and we construct some numerical first and second order accurate algorithms, which are uniformly bounded in the L∞ and BV norms with respect to the relaxation parameter. The relaxation limit is also investigated. |
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Keywords: | relaxation schemes conservation laws shock waves entropy conditions hyperbolic singular perturbations |
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