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A Performance Comparison of Continuous and Discontinuous Galerkin Methods with Fast Multigrid Solvers

A Performance Comparison of Continuous and Discontinuous Galerkin Methods with Fast Multigrid Solvers

This study presents a fair performance comparison of the continuous finite element method, the symmetric interior penalty discontinuous Galerkin method, and the hybridized discontinuous Galerkin (HDG) method. Modern implementations of high-order methods with state-of-the-art multigrid solvers for the Poisson equation are considered, including fast matrix-free implementations with sum factorization on …