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Giorgio Giorgiani, David Modesto, Sonia Fernández-Méndez and Antonio Huerta High-order continuous and discontinuous Galerkin methods for wave problems International Journal for Numerical Methods in Fluids 73

Article first published online: 12 JUL 2013 | DOI: 10.1002/fld.3828

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The computational efficiency of continuous Galerkin, compact discontinuous Galerkin and hybridizable discontinuous Galerkin is compared for 2D scattering problems in unbounded domains. High-order polynomial approximations out-perform low-order approaches for a wide range of wavelengths, requiring less degrees of freedom, and less runtime, for a given accuracy, for both continuous and discontinuous methods. Continuous Galerkin and hybridizable discontinuous Galerkin exhibit comparable efficiency for high-order approximations, providing similar levels of accuracy for the same computational cost and clearly outperforming compact discontinuous Galerkin.

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