A two-level additive Schwarz preconditioner for local C0 discontinuous Galerkin methods of Kirchhoff plates
A two-level additive Schwarz preconditioner for local C0 discontinuous Galerkin methods of Kirchhoff plates
复制标题
基尔霍夫板局部 C0 间断伽辽金法的两级加性 Schwarz 预处理器
DOI：
10.1007/s42967-019-0003-1
复制
发表时间：
2019
影响因子：
1.6
通讯作者：
黄学海
中科院分区：
文献类型：
--
作者：
黄建国;黄学海
针对基尔霍夫板的局部不连续伽辽金（LCDG）方法，提出了一种基于重叠域分解方法的两级加性Schwarz预处理器。然后借助网格间传递算子及其误差估计，证明了条件数的边界为，其中H是子域的直径，并测量了子域之间的重叠。而对于一些小重叠的特殊情况，估计可以改进为。最后，一些数值结果证明了两级加法 Schwarz 预处理器的高效率。
A two-level additive Schwarz preconditioner based on the overlapping domain decomposition approach is proposed for the localdiscontinuous Galerkin (LCDG) method of Kirchhoff plates. Then with the help of an intergrid transfer operator and its error estimates, it is proved that the condition number is bounded by, whereHis the diameter of the subdomains andmeasures the overlap among subdomains. And for some special cases of small overlap, the estimate can be improved as. At last, some numerical results are reported to demonstrate the high efficiency of the two-level additive Schwarz preconditioner.