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E. Casoni, J. Peraire and A. Huerta One-dimensional shock-capturing for high-order discontinuous Galerkin methods International Journal for Numerical Methods in Fluids 71

Article first published online: 5 OCT 2012 | DOI: 10.1002/fld.3682

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Figure 1 compares the artificial diffusion technique proposed here with high-order limiters (described as moments’ in the figures), with the same number of degrees of freedom. The artificial diffusion technique outperforms the high-order limiting scheme, demonstrating that it seems more beneficial to increase the degree of approximation than to refine the mesh in order to obtain accurate solutions.

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