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We present a novel, cell-local shock detector for use with discontinuous Galerkin (DG)
methods. The output of this detector is a reliably scaled, element-wise smoothness
estimate which is suited as a control input to a shock capture mechanism. Using an
artificial viscosity in the latter role, we obtain a DG scheme for the numerical solution
of nonlinear systems of conservation laws. Building on work by Persson and Peraire, we
thoroughly justify the...
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