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1.

図書
図書
1. Maximum principle in finite element models for convection-diffusion phenomena
Tsutomu Ikeda
出版情報: Tokyo : Kinokuniya , Amsterdam : North-Holland, 1983  ix, 159 p. ; 25 cm
シリーズ名: North-Holland mathematics studies ; 76
Lecture notes in numerical and applied analysis ; v. 4
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2.

図書
図書
2. Finite element techniques for fluid flow
J.J. Connor, C.A. Brebbia
出版情報: London ; Boston : Newnes-Butterworths, 1976  310 p. ; 23 cm
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3.

図書
図書
3. The finite element method. 3rd expanded and rev. ed
O.C. Zienkiewicz
出版情報: London ; New York : McGraw-Hill, c1977  xv, 787 p. ; 24 cm
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4.

図書
図書
4. Numerical methods in finite element analysis
Klaus-Jürgen Bathe, Edward L. Wilson
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1976  xv, 528 p. ; 24 cm
シリーズ名: Prentice-Hall civil engineering and engineering mechanics series
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5.

図書
図書
5. Incompressible flow and the finite element method : advection-diffusion and isothermal laminar flow
P. M. Gresho, R. L. Sani in collaboration with M. S. Engelman
出版情報: Chichester : Wiley, c1998  xx, 1021p ; 25cm
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目次情報: 続きを見る
Preface
Glossary of Abbreviations
Introduction / 1：
Incompressible Flow / 1.1：
The Finite Element Method / 1.3：
Incompressible Flow and the Finite Element Method / 1.4：
Overview of this Book; Some Subjective Discussion / 1.5：
Why Finite Elements? Why not Finite Volume? / 1.6：
The Advection-Diffusion Equation / 2：
The Continuum Equation / 2.1：
The Advective (Convective) Form / 2.1.1：
Dimensionless Forms and Limiting Cases of the Equation / 2.1.2：
The Divergence (Conservation) Form / 2.1.3：
Conservation Laws / 2.1.4：
Weak forms of PDE's/Natural Boundary Conditions / 2.1.5：
The Finite Element Equations/Discretization of the Weak Form / 2.2：
Advective Form / 2.2.1：
Divergence Form / 2.2.2：
An Absolutely Conserving Form / 2.2.3：
A Finite Difference Interpretation / 2.2.5：
A Control Volume FEM... / 2.2.6：
Some Semi-Discrete Equations / 2.3：
One Dimension / 2.3.1：
Two Dimensions with Bilinear Elements / 2.3.2：
Two Dimension with Biquadratic Elements / 2.3.3：
Two Dimensions with Serendipity Elements / 2.3.4：
Open Boundary Conditions (OBC's) / 2.4：
Two Dimensions / 2.4.1：
Some Non-Galerkin Results / 2.5：
The Lumped Mass Approximation / 2.5.1：
One-point Quadrature / 2.5.2：
Control Volume Finite Element (CVFEM) / 2.5.3：
The Group FEM/Product Approximation / 2.5.4：
The Petrov-Galerkin FEM / 2.5.5：
Dispersion, Dissipation, Phase Speed, Group Velocity, Mesh Design, and - Wiggles / 2.6：
Qualitative Discussion / 2.6.1：
Qualitative Discussion for some 1D Problems / 2.6.2：
Extension to 2D / 2.6.3：
Time Integration / 2.7：
Some Explicit ODE Methods / 2.7.1：
Application to Advection Diffusion (Scalar Transport) / 2.7.2：
Some Implicit ODE Methods / 2.7.3：
A Variable-Step Implicit Method for Advection-Diffusion / 2.7.4：
A Semi-Implicit Method / 2.7.5：
Dispersion (et al.) Errors for some Fully Discrete Methods / 2.7.6：
Concluding remarks and Suggestions / 2.7.8：
Additional Numerical Examples / 2.8：
Unstable ODE Examples / 2.8.1：
Advection-Diffusion of a Puff (Point Source) / 2.8.2：
The Rotating Cone - A Pure Advection Test Problem / 2.8.3：
The Navier-Stokes Equations / 3：
Notational Introduction / 3.1：
The Continuum, Equations (PDE's) / 3.2：
Alternate Forms of the Viscous Term / 3.3：
Stress-Divergence Form / 3.3.1：
Div-Curl Form / 3.3.2：
Curl Form / 3.3.3：
Alternate Forms of the Non-Linear Term / 3.4：
Rotational Form / 3.4.1：
Skew-Symmetric Form / 3.4.3：
A Symmetric Form / 3.4.4：
Derived Equations / 3.5：
The Pressure Poisson Equation (PPE) / 3.5.1：
The Vorticity Transport Equation / 3.5.2：
The Penalized Momentum Equation / 3.5.3：
Alternate Statements of the NS Equations / 3.6：
Velocity-Pressure in Divergence Form / 3.6.1：
Velocity-Pressure in Rotational Form / 3.6.2：
PPE Form / 3.6.3：
The Stream Function-Vorticity (-) / 3.6.4：
The Velocity-Vorticity Formulation / 3.6.5：
Other Formulations / 3.6.6：
Special Cases of Interest / 3.7：
Stokes Flow / 3.7.1：
Inviscid Flow / 3.7.2：
Potential Flow / 3.7.3：
Axisymmetric Flow / 3.7.4：
Boundary Conditions / 3.8：
u-P Equations / 3.8.1：
The Pressure Poisson Equation and Pressure Boundary Conditions / 3.8.2：
The Vorticity Transport Equation and Boundary Conditions on the Vorticity / 3.8.3：
Initial Conditions (and Well-Posedness) / 3.9：
The u-P Formulation / 3.9.1：
The PPE Formulation / 3.9.2：
Vorticity-Based Methods / 3.9.3：
Interim Summary / 3.10：
A Well-Posed IBVP for Incompressible Flow, and the Equivalence Theorem / 3.10.1：
Some Ill-Posed Problems / 3.10.2：
The Simplified PPE is also Ill-Posed / 3.10.3：
Fixing the SPPE and PPE Paradox / 3.10.4：
PPE Solutions that are not NSE Solutions / 3.10.5：
A Remark on the Penalty Method / 3.10.6：
Key Features of Incompressible Flow / 3.10.7：
Global Conservation Laws / 3.11：
Preface
Glossary of Abbreviations
Introduction / 1：
6.

図書
図書
6. The Finite element method in heat transfer analysis (: pbk)
R.W. Lewis ... [et al.]
出版情報: Chichester ; New York : Wiley, c1996  x, 279 p. ; 24 cm
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目次情報: 続きを見る
Conduction Heat Transfer and Formulation
Linear Steady State Problems
Time Stepping Methods for Heat Transfer
Non-Linear Heat Conduction Analysis
Phase Change Problems--Solidification and Melting
Convective Heat Transfer
Nomenclature
Index
Conduction Heat Transfer and Formulation
Linear Steady State Problems
Time Stepping Methods for Heat Transfer
7.

図書
図書
7. The Finite element method : a basic introduction
K. C. Rockey ... [et al.]
出版情報: London : Crosby Lockwood Staples, 1975  x, 239 p. ; 24 cm
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8.

図書
図書
8. Finite element methods for engineers (: pbk)
Roger T. Fenner
出版情報: London : Imperial College Press , Singapore : distributed by World Scientific Publishing, c1996  xvii, 171 p. ; 24 cm
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9.

図書
図書
9. Introduction to finite element analysis : theory and application
Harold C. Martin, Graham F. Carey
出版情報: New York : McGraw-Hill, c1973  xiii, 386 p. ; 23 cm
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10.

図書
図書
10. Finite models and methods of dynamics in structures
by Josef Henrych
出版情報: Amsterdam ; Tokyo : Elsevier, 1990 , New York : Distributor for the U.S.A. and Canada, Elsevier Science Pub. Co.[m]  541 p. ; 25 cm
シリーズ名: Developments in civil engineering ; 28
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