  In this paper we consider a new version of the dual-primal isogeometric
tearing and interconnecting (IETI-DP) method for solving large-scale linear
systems of algebraic equations arising from discontinuous Galerkin (dG)
isogeometric analysis of diffusion problems on multipatch domains with
non-matching meshes. The dG formulation is used to couple the local problems
across patch interfaces. The purpose of this paper is to present this new
method and provide numerical examples indicating a polylogarithmic condition
number bound for the preconditioned system and showing an incredible robustness
with respect to large jumps in the diffusion coefficient across the interfaces.
