The construction of projection vectors for a deflated ICCG method applied to problems with extreme contrasts in the coefficients

Journal of Computational Physics

Volumn 172, Issue 2, 2001, Pages 426-450

  Vuik, C ^a   Segal, A ^a   Meijerink, J A ^b   Wijma, G T ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b SHELL GLOBAL SOLUTIONS INTERNATIONAL B V   (United States)

Author keywords

Deflation; Discontinuous coefficients across layers; IC preconditioned conjugate gradients; Poisson equation; Porous media; Sensitivity analysis

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; INTEGRATED CIRCUITS; MATRIX ALGEBRA; NUMBER THEORY; NUMERICAL METHODS; PETROLEUM RESERVOIR ENGINEERING; POISSON EQUATION; POROUS MATERIALS; TIMING CIRCUITS; VECTORS;

DEFLATION; DISCONTINUOUS COEFFICIENT ACROSS LAYER; DISCONTINUOUS COEFFICIENTS; FLUID PRESSURES; IC PRECONDITIONED CONJUGATE GRADIENT; NUMERICAL EXPERIMENTS; OIL AND NATURAL GAS; POROUS MEDIUM; PROJECTION VECTORS; SMALLEST EIGENVALUE;

SENSITIVITY ANALYSIS;

EID: 0035922236     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6795     Document Type: Article

References (20)

1. Multilevel ILU decomposition
2. Incremental condition estimation for sparse matrices
3. An analysis of a preconditioner for the discretized pressure equation arising in reservoir simulation
4. An estimate for the condition number of a matrix
5. A deflated iterative solver for magnetostatic finite element models with large differences in permeability
6. Diagenesis: A Quantitative Perspective; Implications for Basin Modelling and Rock Property Prediction
7. Unstructured additive Schwarz-conjugate gradient method for elliptic problems with highly discontinuous coefficients
8. A practical termination criterion for the conjugate gradient method
9. Preconditioned conjugate gradients for solving singular systems
10. On the solution of the boundary value problem for the diffusion equation with highly varying coefficient
11. An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
12. On the approximation of the solution of the pressure equation by changing the domain
13. Generalized augmented matrix preconditioning approach and its application to iterative solution of ill-conditioned algebraic systems
14. Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for solution of non-symmetric linear systems
15. Sequential semi-implicit algorithm for computing discontinuous flows in porous media
16. An efficient preconditioned CG method for the solution of a class of layered problems with extreme contrasts in the coefficients
17. Interface preserving coarsening multigrid for elliptic problems with highly discontinuous coefficients