418
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RWTH Publication No: 463936 2015   IGPM418.pdf |
TITLE |
Stabilisation of hyperbolic conservation laws using conservative finite-volume schemes
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AUTHORS |
Michael Herty |
ABSTRACT |
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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KEYWORDS |
stabilisation, finite-volume schemes, Lyapunov methods, boundary control, hyperbolic conservation laws |