Dispersion analysis of CGM &
نویسنده
چکیده
The dispersion relation of the semi-discrete continuous and discontin-uous Galerkin formulations are analysed for the linear advection equation. In the context of an spectral/hp element discretisation on an equispaced mesh the problem can be reduced to a P P eigenvalue problem where P is the polynomial order. The analytical dispersion relationships for polynomial order up to P = 3 and the numerical values for P = 10 are presented demonstrating similar dispersion properties but show that the discontinuous scheme is more diiusive.
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