An enriched discontinuous Galerkin formulation for the coupling of non-conforming meshes

An enriched discontinuous Galerkin formulation for the coupling of non-conforming meshes: "Publication year: 2010
Source: Finite Elements in Analysis and Design, In Press, Corrected Proof, Available online 9 February 2010
G., Haikal , K.D., Hjelmstad
Finite element modeling using non-conforming meshes requires an interface model that ensures geometric compatibility and a complete transfer of surface tractions between the connecting elements at the non-conforming interfaces. Most currently available coupling methods are dual approaches that employ a field of Lagrange multipliers to enforce geometric compatibility at the interface. The choice of the Lagrange multiplier field is not trivial since not all possible interpolations satisfy the inf–sup or Ladyzhenskaya–Babuška-Brezzi (LBB) condition. The primal discontinuous Galerkin (DG) and Nitsche methods are not subject to the LBB restrictions, however, in both these methods a mesh-dependent penalty parameter is required to..."