Stabilisation of hyperbolic conservation laws using conservative finite–volume schemes
نویسنده
چکیده
We discuss numerical stabilisation of dynamics governed by nonlinear hyperbolic conservation laws through feedback boundary conditions. Using a discrete Lyapunov function we prove exponential decay of the discrete solution to first– order finite volume schemes in conservative form. Decay rates are established for a large class of finite volume schemes including the Lax–Friedrichs scheme. Theoretical results are accompanied by computational results.
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