Numerical experiments of some Krylov subspace methods for black oil model

DOI10.1016/S0898-1221(02)00135-9zbMath0999.65018OpenAlexW1984871837MaRDI QIDQ1609166

Choi-Hong Lai, Jian-Wen Cao

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00135-9

zbMATH Keywords

numerical examplesiterative algorithmspreconditionerKrylov subspace methodsincomplete LU decompositionblack oil modellarge scale linear systemeffective linear solver

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Uses Software

• GpBiCg
• CGS

Cites Work

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• Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
• A Taxonomy for Conjugate Gradient Methods
• Conjugate Gradient-Like Algorithms for Solving Nonsymmetric Linear Systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• How Fast are Nonsymmetric Matrix Iterations?
• GPBi-CG: Generalized Product-type Methods Based on Bi-CG for Solving Nonsymmetric Linear Systems
• GMRESR: a family of nested GMRES methods
• The principle of minimized iterations in the solution of the matrix eigenvalue problem
• Methods of conjugate gradients for solving linear systems

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