Asymptotic Preserving Discretization Of A Jin-Xin Model With Implicit Equilibrium Manifold On A Bounded Domain
IMA JOURNAL OF NUMERICAL ANALYSIS(2020)
Abstract
In this paper, we design and analyze a numerical scheme that approximates a Jin-Xin linear system with implicit equilibrium on a bounded domain. This scheme relaxes toward the asymptotic limit of the linear system. The main properties of the limiting scheme are that it does not require to invert the implicit function defining the manifold and that it provides an accurate discretization of the boundary conditions.
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Key words
asymptotic preserving scheme, hyperbolic relaxation, boundary layer
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