A Deluxe FETI-DP Method for Full DG Discretization of Elliptic Problems

摘要

In this paper we consider a boundary value problem for elliptic second order partial differential equations with highly discontinuous coefficients in a 2D polygonal region Ω. The problem is discretized by a (full) DG method on triangular elements using the space of piecewise linear functions. The goal of this paper is to study a special version of FETI-DP preconditioner, called deluxe, for the resulting discrete system of this discretization. The deluxe version for continuous FE discretization is considered in , for standard FETI-DP methods for composite DG method, see , for full DG, see, and for conforming FEM, see the book.