A new boundary asymptotic-preserving upwind scheme captures equilibrium limits and boundary-layer jumps for hyperbolic relaxation IBVPs, with a unified treatment of interface problems where the relaxation time is discontinuous.
In this section, we show that our scheme can be also used to compute the interface problem: Ut + AUx = 1 ǫ(x) QU, x ∈ R
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Asymptotic-preserving schemes for the initial-boundary value problem of hyperbolic relaxation systems
A new boundary asymptotic-preserving upwind scheme captures equilibrium limits and boundary-layer jumps for hyperbolic relaxation IBVPs, with a unified treatment of interface problems where the relaxation time is discontinuous.