Performance of Jacobi preconditioning in Krylov subspace solution of finite element equations

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 26, Issue 4, 2002, Pages 341-372

  Lee, F H ^a,b   Phoon, K K ^a,b   Lim, K C ^a   Chan, S H ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NONE

Author keywords

Eigenvalue; Element by element; Ill conditioning; Iterative; Krylov subspace; Preconditioning

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; PORE PRESSURE; PROBLEM SOLVING; STIFFNESS;

DISPLACEMENT; FINITE ELEMENT EQUATIONS;

FINITE ELEMENT METHOD;

CONSOLIDATION; EIGENVALUE; FINITE ELEMENT METHOD; GEOTECHNICAL PROPERTY; NUMERICAL METHOD;

EID: 0037051828     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.204     Document Type: Article

References (32)

1. A frontal solution program for finite element analysis
2. Iterative strategies for solving systems of linear, algebraic equations arising in 3D BE-FE analyses of tunnel drivings
3. Solving large-scale linear problems in solid and structural mechanics
4. A multilevel hierachical preconditioner for thin elastic solids
5. Three dimensional analysis of twin tunnels
6. A general-purpose system for finite element analyses in parallel
7. Development in structural analysis by direct energy minimization
8. Solution algorithms for non-linear transient heat conduction analysis employing element-by-element iterative strategies
9. A generalised conjugate gradient method for the numerical solution of the elliptic partial differential equations
10. A robust incomplete Choleski conjugate gradient algorithm
11. Practical use of polynomial preconditionings for the conjugate gradient method
12. High-performance multi-level iterative aggregation solver for large finite-element structural analysis problems
13. PCG methods in transient FE analysis. Part 1: First order problems
14. Element preconditioning using splitting techniques
15. Element-by-element preconditioners for large partially separable optimisation problems
16. A new Krylov-subspace method for symmetric indefinite linear system
17. Solution of sparse indefinite systems of linear equations
18. A modified Jacobi preconditioner for solving ill-conditioned Biot's consolidation equations using symmetric quasi-minimal residual residual method
19. Computer solution of large linear system
20. General theory of three-dimensional consolidation
21. Uber die Abgrenzung der Eigenwerte einer Matrix