A high-performance preconditioner for iterative solutions of geotechnical applications

被引：0

作者：

Chen Xi ^{[1
]}

Liu Jian-kun ^{[1
]}

Li Xu ^{[1
]}

Tian Ya-hu ^{[1
]}

Wang Ying-nan ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Sch Civil Engn, Beijing 100044, Peoples R China

来源：

ROCK AND SOIL MECHANICS | 2013年 / 34卷

关键词：

multi-body coupling interaction; linear equation system; Krylov subspace iterative method; partitioned block preconditioning;

D O I：

暂无

中图分类号：

P5 [地质学];

学科分类号：

0709 ; 081803 ;

摘要：

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.

引用

页码：272 / 277

页数：6