A numerical eigenvalue study of preconditioned non-equilibrium transport equations

DOI<343::AID-FLD789>3.0.CO;2-W 10.1002/(SICI)1097-0363(19990215)29:3<343::AID-FLD789>3.0.CO;2-WzbMath0946.76044OpenAlexW2021045700MaRDI QIDQ4264618

Giuseppe Gambolati, Giorgio Pini

Publication date: 17 October 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0363(19990215)29:3<343::aid-fld789>3.0.co;2-w

zbMATH Keywords

porous mediaprojection methodsfast convergenceincomplete triangular factorizationnon-equilibrium contaminant transportnon-symmetric eigenproblempreconditioned eigenspectrum

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Transport processes in time-dependent statistical mechanics (82C70)

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LEFTMOST EIGENVALUE OF REAL AND COMPLEX SPARSE MATRICES ON PARALLEL COMPUTER USING APPROXIMATE INVERSE PRECONDITIONING ⋮ Numerical performance of projection methods in finite element consolidation models

Uses Software

• LAPACK
• EISPACK

Cites Work

• Das Verfahren der Treppeniteration und verwandte Verfahren zur Lösung algebraischer Eigenwertprobleme
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• An Improved Method for Numerical Inversion of Laplace Transforms
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation
• ILUT: A dual threshold incomplete LU factorization
• A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems