Giorgio Giorgiani, Sonia Fernández-Méndez and Antonio Huerta Hybridizable discontinuous Galerkin p-adaptivity for wave propagation problems International Journal for Numerical Methods in Fluids 72
A p-adaptive hybridizable discontinuous Galerkin method based on error estimation is proposed for the solution of scattering problems (Helmholtz for nonconstant coefficients in unbounded domains). This approach outperforms high-order continuous Galerkin. The figure shows the final distribution of the approximation order p for the desired accuracy in a challenging engineering problem: wave propagation in Barcelona's harbor.
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