A two-level additive Schwarz preconditioner based on the overlapping domain decomposition approach is proposed for the local C0 discontinuous Galerkin (LCDG) method of Kirchhof plates. Then with the help of an intergrid transfer operator and its error estimates, it is proved that the condition number is bounded by O(1 + (H4/δ4)), where H is the diameter of the subdomains and δ measures the overlap among subdomains. And for some special cases of small overlap, the estimate can be improved as O(1 + (H3/δ3)). At last, some numerical results are reported to demonstrate the high efciency of the two-level additive Schwarz preconditioner.
Jianguo Huang, Xuehai Huang
. A Two-Level Additive Schwarz Preconditioner for Local C0 Discontinuous Galerkin Methods of Kirchhof Plates[J]. Communications on Applied Mathematics and Computation, 2019
, 1(2)
: 167
-185
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DOI: 10.1007/s42967-019-0003-1
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