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Discontinuous Galerkin (DG) Methods (Supp) (DG for 2nd order eq (Ch4)…

- - - - space-time problems -> no vortices
      - vortices in \( b \)
  - - - stability argument
      - ensures conservation of \( L_2 \) norm in time
- - - - consistent terms for symmetric. & coerc.
      - add variables \( \widehat{u},\widehat{v} \) on inter-element facets
      - natural norm
    - - (order-edges)-1 with same order of convergence
      - projector
    - - higher # (non-zero terms per row in Matrix) --> HDG
      - higher # dofs
- - - - elliptic on \( V_h \)
      - consistent to solution
  - - - apply discrete stability & consistency
      - not able to argue with cont. of \( A \) (because not cont.)
      - estimate interp. err in all terms of A