| 一种高性能迭代预处理方法及其在岩土工程中的应用 |
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| 引用本文： | 陈 曦,刘建坤,李 旭,田亚护,王英男.一种高性能迭代预处理方法及其在岩土工程中的应用[J].岩土力学,2013,34(Z2):272-277. |
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| 作者姓名： | 陈 曦 刘建坤 李 旭 田亚护 王英男 |
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| 作者单位： | 北京交通大学 土木建筑工程学院，北京 100044 |
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| 基金项目： | 国家“973”项目课题(No.2012CB026104)；中央高校基本科研业务费专项资金资助(No.2013JBM059)；教育部博士点新教师基
金(No.20110009120020)。 |
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| 摘 要： | 岩土工程建设的发展极大地促进了三维数值模拟的应用。大规模三维有限元计算需要求解一系列大型线性方程组，这些线性方程组的求解直接影响着整个有限元计算的效率。复杂岩土工程问题通常涉及多相和多体耦合相互作用，各相之间或不同固体材料之间性质差别显著，可能导致Krylov子空间迭代法收敛缓慢，甚至求解失败。为了提高Krylov子空间迭代法的求解效率和可靠性，提出一种新的高效预处理技术，通过算例验证了所提出的分区块迭代预处理方法的有效性。
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| 关 键 词： | 多体耦合相互作用 线性方程系统 Krylov子空间迭代法 分区块预处理 |
| 收稿时间： | 2013-03-25 |
A high-performance preconditioner for iterative solutions of geotechnical applications |
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| A high-performance preconditioner for iterative.A high-performance preconditioner for iterative solutions of geotechnical applications[J].Rock and Soil Mechanics,2013,34(Z2):272-277. |
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| Authors: | A high-performance preconditioner for iterative |
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| Institution: | School of Civil Engineering，Beijing Jiaotong University，Beijing 100044，China |
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| Abstract: | The rapid developments of geotechnical constructions have greatly expedited the applications of 3D numerical modeling. Large-scale 3D finite element computations may lead to a series of large linear systems of equations, and solving these linear equations may significantly influence the efficiency of entire finite element computation. Complex geotechnical problems usually involve multi-body and multiphase coupling interactions, and the remarkable contrast in material properties for different phases or materials may lead to slow convergence or even failure of a Krylov subspace iterative method. To improve the solution efficiency and reliability of a Krylov subspace iterative method, a robust preconditioner should be employed. Based on some typical geotechnical problems, a partitioned block preconditioner is developed. By using some numerical examples, performances of the preconditioners are examined and their applicability is evaluated. |
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| Keywords: | multi-body coupling interaction linear equation system Krylov subspace iterative method partitioned block preconditioning |
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