Convergence Theory for IETI-DP Solvers for Discontinuous Galerkin Isogeometric Analysis that is Explicit in ? and ????

Abstract In this paper, we develop a convergence theory for Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) solvers isogeometric multi-patch discretizations of the Poisson problem, where patches are coupled using discontinuous Galerkin. The presented provides condition number bounds that explicit in grid sizes ? spline degrees ????. We give an analysis holds various choices primal freedom: vertex values, edge averages, combination both. If only values or both averages taken as freedom, bound is same conforming case. taken, experiments show preconditioned system grows with ratio on neighboring patches.