UN CO RR EC TE D PR O O F 1 BDDC for Higher - Order Discontinuous Galerkin 2 Discretizations 3
نویسنده
چکیده
A Balancing Domain Decomposition by Constraints (BDDC) method is presented 13 for the solution of a discontinuous Galerkin (DG) discretization of a second-order 14 elliptic problem in two dimensions. BDDC was originally introduced in [8] for the 15 solution of continuous finite element discretizations. Mandel and Dohrmann [13] 16 later proved a condition number bound of κ ≤ C(1 + log(H/h))2 for precondi17 tioned system of a continuous finite element discretization of second order ellip18 tic problems. Pavarino [15] and Klawonn et al. [11] extended the BDDC algorithm 19 to higher-order finite element methods and proved a condition number bound of 20 κ ≤ C(1+ log(p2H/h))2. Further analysis of BDDC methods and their connection 21 to FETI methods has been presented in [12, 14]. 22
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تاریخ انتشار 2013