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dorie
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Opened by Lukas Riedel@lriedel📝Owner
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add options for altering DG formulation in local operator

There are multiple options for different symmetry/penalty and upwinding combinations.

Upwinding:

  • fully weighted (none) (use K for weighting)
  • semi-upwinding (semiUpwind) (use K_0 for weighting and upwinding conductivity factor K_f^u)
  • full updwinding (fullUpwind) (only upwinding flux \mathbf{j}^u upwinding conductivity K^u)

Symmetry & Penalty

  • SIP (SIPG) = Volume + Consistency + Symmetry + Penalty
  • NIP (NIPG) = Volume + Consistency - Symmetry + Penalty
  • OOB (OOB) (Oden, Babuska, Baumann) = Volume + Consistency - Symmetry
  • IIP (IIB) (Incomplete Interior Penalty) = Volume + Consistency + Penalty

Harmonic weights:

  • Weights on (weights = true): Use harmonic weighting of (saturated) conductivities at intersections
  • Weight off (weights = false): No weighting
Edited by Lukas Riedel
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