Krylov subspace projection method and its application to oil reservoir simulation

DOI10.1007/BF02460179zbMath0988.76063MaRDI QIDQ1580619

Zhi-Ming Lu, Yu-Lu Liu, Xiao-Ming Liu

Publication date: 14 July 2002

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

GMRES methodpreconditioned matrixoil reservoir simulationblock pseudo-elimination methodKrylov subspace projection method

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Iterative numerical methods for linear systems (65F10) Computational methods for problems pertaining to geophysics (86-08)

Uses Software

• GMBACK
• CGS

Cites Work

• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• A Look-Ahead Lanczos Algorithm for Unsymmetric Matrices
• Conjugate Gradient-Like Algorithms for Solving Nonsymmetric Linear Systems
• Two Conjugate-Gradient-Type Methods for Unsymmetric Linear Equations
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
• Preconditioned Iterative Methods for Homotopy Curve Tracking
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Solution of Sparse Indefinite Systems of Linear Equations
• Residual Smoothing Techniques for Iterative Methods
• A Quasi-Minimal Residual Variant of the Bi-CGSTAB Algorithm for Nonsymmetric Systems
• Towards Polyalgorithmic Linear System Solvers for Nonlinear Elliptic Problems
• Restarted GMRES for Shifted Linear Systems
• QMR Smoothing for Lanczos-Type Product Methods Based on Three-Term Rrecurrences
• GMBACK: A Generalised Minimum Backward Error Algorithm for Nonsymmetric Linear Systems
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems
• A Theoretical Comparison of the Arnoldi and GMRES Algorithms
• Unnamed Item

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