Stable broken H^1 and H(div) polynomial extensions

mapping

Mapping of the boundary of a 3D tetrahedral patch to a triangulation for three-color patch refinement

Main results:

  • H^1-stable polynomial extension on a tetrahedron;
  • H(div)-stable polynomial extension on a tetrahedron;
  • stable broken H^1 polynomial extension on a patch of thetrahedra;
  • stable broken H(div) polynomial extension on a patch of thetrahedra;
  • polynomial-degree-robust efficiency of H^1-nonconforming methods;
  • polynomial-degree-robust efficiency of H(div)-nonconforming methods.

Details: paper with Alexandre Ern (preprint) and presentation

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