A modified Jacobi preconditioner for solving ill-conditioned biot's consolidation equations using symmetric quasi-minimal residual method

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 25, Issue 10, 2001, Pages 1001-1025

  Chan, S H ^a   Phoon, K K ^a   Lee, F H ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Biot's consolidation analysis; Column (row) balancing; Ill conditioned; Jacobi preconditioning; Symmetric indefinite linear system; Symmetric quasi minimal residual

Indexed keywords

CONSOLIDATION; FINITE ELEMENT METHOD; HEURISTIC METHODS; PORE PRESSURE;

JACOBI PRECONDITIONER;

SOIL CONDITIONERS;

BIOT THEORY; CONSOLIDATION; FINITE ELEMENT METHOD;

EID: 0035949106     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.164     Document Type: Article

References (43)

1. Three-dimensional analysis of deep excavation in soft clay
2. Prediction of ground movement around deep excavations
3. 3-D finite element modelling of slurry trenching
4. Three dimensional analysis of building settlement caused by shaft construction
5. Three-dimensional analysis of twin tunnels
6. Development of a non-linear 3D excavation program utilising a PCG Solver
7. A general purpose system for finite element analyses in parallel
8. Solution of sparse indefinite systems of linear equations
9. A new Krylov-subspace method for symmetric indefinite linear systems
10. A generalized conjugate gradient method for the numerical solution of the elliptic partial differential equations
11. An iterative solution of linear systems of which the coefficient matrix is a symmetric M-matrix
12. An incomplete factorization technique for positive definite linear systems
13. The solution of sparse linear equations by the conjugate gradient method
14. Development of an ICCG algorithm for large sparse systems
15. A robust incomplete Choleski conjugate gradient algorithm
16. Improving the efficiency of incomplete Choleski preconditionings
17. Robust preconditioners for linear elasticity FEM analyses
18. Polynomial preconditioners for conjugate gradient calculations
19. Practical use of polynomial preconditionings for the conjugate gradient method
20. Developments in structural analysis by direct energy minimization
21. More on gradient iterative methods in finite element analysis
22. Solution algorithms for nonlinear transient heat conduction analysis employing element-by-element iterative strategies
23. An element-by-element solution algorithm for problems of structural and solid mechanics
24. Element preconditioning using splitting techniques
25. Large scale vectorized implicit calculations in solid mechanics on a Cray X-MP/48 utilizing EBE preconditioned conjugate gradients
26. An efficient superelement-by-superelement method for large finite element computations
27. Application of Krylov sub-space iterative methods for large geotechnical problems
28. Preconditioning of symmetric, but highly indefinite linear systems
29. Computer solution of large linear systems
30. Iterative solution of linear systems
31. A note on preconditioning for indefinite linear systems
32. Prediction to settlement due to underground openings