Convergence and Sensitivity Analysis of Repair Algorithms in 1D

Abstract : We prove the convergence of some repair algorithms for linear advection in dimension one. The convergence depends on the size of the box where the distribution of the mass excess is performed. Various numerical examples illustrate the theoretical results. Applications to gas dynamics in dimension one is also discussed.
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https://hal.archives-ouvertes.fr/hal-01114186
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Bruno Despres, Raphaël Loubère. Convergence and Sensitivity Analysis of Repair Algorithms in 1D. International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2006, 3 (1), pp.13. 〈http://www.latp.univ-mrs.fr/〉. 〈hal-01114186〉

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