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流体力学中的有限元方法及快速迭代求解技术
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2018-11-11
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详细介绍了流体力学中的有限元方法及其快速迭代技术,针对流体方程开展方程离散化,并对形成的矩阵方程开展加速求解技术,该类方法为有限元在其他领域(电磁场、力学等)的应用提供了较好的借鉴。
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NUMERICAL MATHEMATICS AND SCIENTIFIC
COMPUTATION
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G. H. GOLUB A. GREENBAUM
A. M. STUART E. S
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NUMERICAL MATHEMATICS AND SCIENTIFIC
COMPUTATION
Books in the series
∗
P. Dierckx: Curve and surface fittings with splines
∗
J. H. Wilkinson: The algebraic eigenvalue problem
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I. Duff, A. Erisman, and J. Reid: Direct methods for sparse matrices
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M. J. Baines: Moving finite elements
∗
J. D. Pryce: Numerical solution of Sturm–Liouville problems
K. Burrage: Parallel and sequential methods for ordinary differential equations
Y. Censor and S. A. Zenios: Parallel optimization: theory, algorithms and applications
M. Ainsworth, J. Levesley, W. Light, and M. Marletta: Wavelets, multilevel methods
and elliptic PDEs
W. Freeden, T. Gervens, and M. Schreiner: Constructive approximation on the sphere:
theory and applications to geomathematics
Ch. Schwab: p- and hp- finite element methods: theory and applications to solid and
fluid mechanics
J. W. Jerome: Modelling and computation for applications in mathematics, science,
and engineering
Alfio Quarteroni and Alberto Valli: Domain decomposition methods for partial differ-
ential equations
G. E. Karniadakis and S. J. Sherwin: Spectral/hp element methods for CFD
I. Babuˇska and T. Strouboulis: The finite element method and its reliability
B. Mohammadi and O. Pironneau: Applied shape optimization for fluids
S. Succi: The lattice Boltzmann equation for fluid dynamics and beyond
P. Monk: Finite element methods for Maxwell’s equations
A. Bellen and M. Zennaro: Numerical methods for delay differential equations
J. Modersitzki: Numerical methods for image registration
M. Feistauer, J. Felcman, and I. Straˇskraba: Mathematical and computational methods
for compressible flow
W. Gautschi: Orthogonal polynomials: computation and approximation
M. K. Ng: Iterative methods for Toeplitz systems
Michael Metcalf, John Reid, and Malcolm Cohen: Fortran 95/2003 explained
George Em Karniadakis and Spencer Sherwin: Spectral/hp element methods for CFD,
second edition
Dario A. Bini, Guy Latouche, and Beatrice Meini: Numerical methods for
structured Markov chains
Howard Elman, David Silvester, and Andy Wathen: Finite Elements and Fast Iterative
Solvers: with applications in incompressible fluid dynamics
Moody Chu and Gene Golub: Inverse Eigenvalue Problems: Theory and Applications
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Finite Elements and Fast Iterative
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Howard C. Elman David J. Silvester
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