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.
Example 1 (Linear Jin-Xin model): In this numerical experiment, we check the validity of the boundary AP scheme by showing the convergence rate
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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.