A Hybrid High-Order method for creeping flows of non-Newtonian fluids

@article{Botti2021AHH,
  title={A Hybrid High-Order method for creeping flows of non-Newtonian fluids},
  author={Michele Botti and Daniel Castanon Quiroz and Daniele A. Di Pietro and Andr'e Harnist},
  journal={ArXiv},
  year={2021},
  volume={abs/2003.13467}
}
In this paper, we design and analyze a Hybrid High-Order discretization method for the steady motion of non-Newtonian, incompressible fluids in the Stokes approximation of small velocities. The proposed method has several appealing features including the support of general meshes and high-order, unconditional inf-sup stability, and orders of convergence that match those obtained for scalar Leray–Lions problems. A complete well-posedness and convergence analysis of the method is carried out… 

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