›› 2013, Vol. 34 ›› Issue (S2): 272-277.

• Geotechnical Engineering • Previous Articles     Next Articles

A high-performance preconditioner for iterative solutions of geotechnical applications

A high-performance preconditioner for iterative solutions of geotechnical applications   

  1. School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,China
  • Received:2013-03-25 Online:2013-11-11 Published:2013-11-19

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.

Key words: multi-body coupling interaction, linear equation system, Krylov subspace iterative method, partitioned block preconditioning

CLC Number: 

  • TU 443
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