Comparison of high-order continuous and hybridizable discontinuous Galerkin methods for incompressible fluid flow problems

@article{Paipuri2018ComparisonOH,
  title={Comparison of high-order continuous and hybridizable discontinuous Galerkin methods for incompressible fluid flow problems},
  author={Mahendra Paipuri and Sonia Fern{\'a}ndez-M{\'e}ndez and Carlos Tiago},
  journal={Mathematics and Computers in Simulation},
  year={2018},
  volume={153},
  pages={35-58}
}
Abstract The computational efficiency and the stability of Continuous Galerkin (CG) methods, with Taylor–Hood approximations, and Hybridizable Discontinuous Galerkin (HDG) methods are compared for the solution of the incompressible Stokes and Navier–Stokes equations at low Reynolds numbers using direct solvers. A thorough comparison in terms of CPU time and accuracy for both discretization methods is made, under the same platform, for steady state problems, with triangular and quadrilateral… CONTINUE READING

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