This paper focuses on some efficient deflated preconditioners for static elastic crack problems modelled by the geometrical extended finite element method.We not only construct the deflation subspace matrix which is suitable for linear elastic crack problems,but also give the principle for selecting the deflated mesh nodes.To further accelerate the convergence,we combine the deflation technique with the"crack tip"domain decomposition preconditioners through multiplicative way,and propose efficient adapted deflated preconditioned conjugate gradient solvers which can eliminate the high-frequency and low-frequency errors simultaneously in the iterations.Numerical experiments demonstrate the effectiveness of our algorithm.
关键词
扩展有限元方法/压缩技巧/区域分解预条件子/静态裂缝问题
Key words
extended finite element method/deflation technique/domain decomposition preconditioners/static crack problems
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