A NON-OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR A DISCONTINUOUS GALERKIN METHOD: A NUMERICAL STUDY

초록

In this paper, we propose an iterative method for a symmetric interior penalty Galerkin method for heterogeneous elliptic problems. The iterative method consists mainly of two parts based on a non-overlapping domain decomposition ap-proach. One is an intermediate preconditioner constructed by understanding the properties of the discontinuous finite element functions and the other is a precondi-tioning related to the dual-primal finite element tearing and interconnecting (FETI-DP) methodology. Numerical results for the proposed method are presented, which demonstrate the performance of the iterative method in terms of various param-eters associated with the elliptic model problem, the finite element discretization, and non-overlapping subdomain decomposition.

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