Optimization Based Nonoverlapping Domain Decomposition Algorithms and Their Convergence

Optimization Based Nonoverlapping Domain Decomposition Algorithms and Their Convergence
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DOI:
10.1137/s0036142900380273
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发表时间:
2001-03
期刊:
SIAM J. Numer. Anal.
影响因子:
--
通讯作者:
Q. Du
Q. Du
中科院分区:
其他
文献类型:
--
作者:
Q. Du

文献摘要

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提出了几种基于优化的子域不重叠的区域分解算法。许多现有的算法以及新的算法可以使用该方法来推导。同时考虑了连续问题及其有限元离散。研究了算法的收敛性质。
We present some optimization based domain decomposition algorithms with nonoverlapping subdomains. A number of existing algorithms, as well as new algorithms, may be derived using this approach. Both continuous problems and their finite element discretizations are considered. Convergence properties are examined.