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- W2079174350 abstract "A rate of convergence is proven for spectral-viscosity methods for periodic scalar conservation laws. This rate is obtained by showing the discretization error to be small enough that the difference between the solutions of the spectral-viscosity method and the ordinary viscosity method tends to zero in $L^1 $ as the number of discrete modes tends to infinity and the viscosity simultaneously tends to zero at the appropriate rate. The method is also used to obtain an $L^infty $ bound for the spectral-viscosity approximations to the elasticity equations; convergence, although without a rate, then follows from compensated compactness theory." @default.
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- W2079174350 date "1990-10-01" @default.
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- W2079174350 title "The Rate of Convergence of Spectral-Viscosity Methods for Periodic Scalar Conservation Laws" @default.
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- W2079174350 doi "https://doi.org/10.1137/0727066" @default.
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