Efficiency of high-order elements for continuous and discontinuous Galerkin methods: EFFICIENCY OF HIGH-ORDER ELEMENTS FOR CG AND DG

@inproceedings{Huerta2013EfficiencyOH,
  title={Efficiency of high-order elements for continuous and discontinuous Galerkin methods: EFFICIENCY OF HIGH-ORDER ELEMENTS FOR CG AND DG},
  author={Antonio Huerta and Aleksandar Angeloski and Xevi Roca and Jaime Peraire},
  year={2013}
}
SUMMARY To evaluate the computational performance of high-order elements, a comparison based on operation count is proposed instead of runtime comparisons. More specifically, linear versus high-order approximations are analyzed for implicit solver under a standard set of hypotheses for the mesh and the solution. Continuous and discontinuous Galerkin methods are considered in two-dimensional and three-dimensional domains for simplices and parallelotopes. Moreover, both element-wise and global… CONTINUE READING
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