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1.

図書

図書
Devdas Menon
出版情報: Oxford : Alpha Science International, c2009  xiv, 685 p. ; 25 cm
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2.

図書

図書
W. Morgan and D. T. Williams
出版情報: London : Pitman, 1958  vii, 427 p. ; 23 cm
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3.

図書

図書
Design, Fabrication and Mechanics of Composite Structures Seminar
出版情報: Lancaster, Pa. : Technomic Publishing Company, c1985  1 v. (various pages) ; 29 cm
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4.

図書

図書
Dietrich Braess ; translated by Larry L. Schumaker
出版情報: Cambridge : Cambridge University Press, 2001  xvii, 352 p. ; 23 cm
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目次情報: 続きを見る
Preface to the Third English Edition page
Preface to the First English Edition
Preface to the German Edition
Notation
Introduction / Chapter I:
Examples and Classification of PDE's / 1:
Examples
Classification of PDE's
Well-posed Problems
Problems
The Maximum Principle / 2:
Corollaries
Problem
Finite Difference Methods / 3:
Discretization
Discrete maximum principle
A Convergence Theory for Difference Methods / 4:
Consistency
Local and global error
Limits of the convergence theory
Conforming Finite Elements / Chapter II:
Sobolev Spaces
Introduction to Sobolev spaces
Friedrichs' inequality
Possible singularities of H1 functions
Compact imbeddings
Variational Formulation of Elliptic Boundary-Value Problems of Second Order
Variational formulation
Reduction to homogeneous boundary conditions
Existence of solutions
Inhomogeneous boundary conditions
The Neumann Boundary-Value Problem. A Trace Theorem
Ellipticity in H1
Boundary-value problems with natural boundary conditions
Neumann boundary conditions
Mixed boundary conditions
Proof of the trace theorem
Practical consequences of the trace theorem
The Ritz-Galerkin Method and Some Finite Elements
Model Problem
Some Standard Finite Elements / 5:
Requirements on the meshes
Significance of the differentiability properties
Triangular elements with complete polynomials
Remarks on C1 elements
Bilinear elements
Quadratic rectangular elements
Affine families
Choice of an element
Approximation Properties / 6:
The Bramble-Hilbert lemma
Bilinear quadrilateral elements
Inverse estimates
Clément's interpolation
Appendix: On the optimality of the estimates
Error Bounds for Elliptic Problems of Second Order / 7:
Remarks on regularity
Error bounds in the energy norm
L2 estimates
A simple L? estimate
The L2-projector
Computational Considerations / 8:
Assembling the stiffness matrix
Static condensation
Complexity of setting up the matrix
Effect on the choice of a grid
Local mesh refinement
Implementation of the Neumann boundary-value Problem
Nonconforming and Other Methods / Chapter III:
Abstract Lemmas and a Simple Boundary Approximation
Generalizations of Céa's lemma
Duality methods
The Crouzeix-Raviart element
A Simple approximation to curved boundaries
Modifications of the duality argument
Isoparametric Elements
Isoparametric triangular elements
Isoparametric quadrilateral elements
Further Tools from Functional Analysis
Negative norms
Adjoint operators
An abstract existence theorem
An abstract convergence theorem
Proof of Theorem 3.4
Saddle Point Problems
Saddle points and minima
The inf-sup condition
Mixed finite element methods
Fortin interpolation
Saddle point problems with penalty term
Typical applications
Mixed Methods for the Poisson Equation
The Poisson equation as a mixed problem
The Raviart - Thomas element
Interpolation by Raviart-Thomas elements
Implementation and postprocessing
Mesh-dependent norms for the Raviart-Thomas element
The Softening behaviour of mixed methods
The Stokes Equation
Nearly incompressible flows
Finite Elements for the Stokes Problems
An instable element
The Taylor-Hood element
The MINI element
The divergence-free nonconforming P1 element
A Posteriori Error Estimates
Residual estimators
Lower estimates
Remark on other estimators
Local mesh refinement and convergence
A Posteriori Error Estimates via the Hypercircle Method / 9:
The Conjugate Gradient Method / Chapter IV:
Classical Iterative Methods for Solving Linear Systems
Stationary linear processes
The Jacobi and Gauss-Seidel methods
The model problem
Overrelaxation
Gradient Methods
The general gradient method
Gradient methods and quadratic functions
Convergence behavior in the case of large condition numbers
Conjugate Gradient and the Minimal Residual Method
The CG algorithm
Analysis of the CG method as an optimal method
The minimal residual method
Indefinite and unsymmetric matrices
Preconditioning
Preconditioning by SSOR
Preconditioning by ILU
Remarks on parallelization
Nonlinear Problems
The Uzawa algorithm and its variants
An alternative
Multigrid Methods / Chapter V:
Multigrid Methods for Variational Problems
Smoothing properties of classical iterative methods
The multigrid idea
The algorithm
Transfer between grids
Convergence of Multigrid Methods
Discrete norms
Connection with the Sobolev norm
Approximation property
Convergence proof for the two-grid method
An alternative short proof
Some variants
Convergence for Several Levels
A recurrence formula for the W-cycle
An improvement for the energy norm
The convergence proof for the V-cycle
Nested Iteration
Computation of starting values
Complexity
Multigrid methods with a small number of levels
The CASCADE algorithm
Multigrid Analysis via Space Decomposition
Schwarz alternating method
Assumptions
Direct consequences
Convergence of multiplicative methods
Verification of A1
Local mesh refinements
The multigrid-Newton method
The nonlinear multigrid method
Starting values
Finite Elements in Solid Mechanics / Chapter VI:
Introduction to Elasticity Theory
Kinematics
The equilibrium equations
The Piola transform
Constitutive Equations
Linear material laws
Hyperelastic Materials
Linear Elasticity Theory
The variational problem
The displacement formulation
The mixed method of Hellinger and Reissner
The mixed method of Hu and Washizu
Nearly incompressible material
Locking
Locking of the Timoshenko beam and typical remedies
Membranes
Plane stress states
Plane strain states
Membrane elements
The PEERS element
Beams and Plates: The Kirchhoff Plate
The hypotheses
Note on beam models
Mixed methods for the Kirchoff plate
DKT elements
The Mindlin-Reissner Plate
The Helmholtz decomposition
The mixed formulation with the Helmholtz decomposition
MITC elements
The Model without a Helmboltz decomposition
References
Index
Preface to the Third English Edition page
Preface to the First English Edition
Preface to the German Edition
5.

図書

図書
C.A. Brebbia ... [et al.]
出版情報: Berlin ; New York : Springer-Verlag, c1985  vi, 300 p. ; 24 cm
シリーズ名: Lecture notes in engineering ; 10
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6.

図書

図書
by Friedrich Bleich ; with the collaboration of Lyle B. Ramsey ; edited by Hans H. Bleich
出版情報: New York : McGraw-Hill, 1952  xiii, 508 p. ; 24 cm
シリーズ名: Engineering societies monographs
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7.

図書

図書
editors A.S. Elnashai & S. Antoniou ; sponsored by The Kajima Foundation, Japan, The British Council, Japan
出版情報: London : Imperial College Press, c2000  viii, 228 p. ; 23 cm
シリーズ名: Series on innovation in structures and construction ; vol.2
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8.

図書

図書
Alan Williams ; with a foreword by R.H. Evans
出版情報: London : Macmillan, 1967  324 p. ; 23 cm
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9.

図書

図書
edited by G. I. N. Rozvany
出版情報: Wien : Springer-Verlag, c1997  322 p. ; 24 cm
シリーズ名: CISM courses and lectures ; No. 374
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10.

図書

図書
C. E. Massonnet and M. A. Save
出版情報: New York : Blaisdell, 1965  379 p. ; 24 cm
シリーズ名: A Blaisdell book in the pure and applied sciences ; . Plastic analysis and design ; v. 1
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11.

図書

図書
Stuart S.J. Moy
出版情報: London : Macmillan Press, c1981  xiii, 221 p. ; 24 cm
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12.

図書

図書
John P. Wolf and Chongmin Song
出版情報: Chichester : Wiley, c1996  xvii, 331 p. ; 25 cm
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目次情報: 続きを見る
Partial table of contents
Similarity-Based Formulation for Unit-Impulse Response and Dynamic Stiffness
Displacement, Velocity and Acceleration Unit-Impulse Response with Dynamic Stiffness and Rational Approximation
Forecasting Method
Consistent Infinitesimal Finite-Element Cell Method Applied to Bounded Medium
Damping-Solvent Extraction for Dynamic Stiffness and Interaction Force
Fundamentals of Damping-Solvent Extraction Method
Doubly-Asymptotic Multi-Directional Transmitting Boundary
Concept and Numerical Implementation of Doubly-Asymptotic Multi-Directional Transmitting Boundary
Accuracy and Modelling Procedure of Doubly-Asymptotic Multi-Directional Transmitting Boundary
Appendices
References
Index
Partial table of contents
Similarity-Based Formulation for Unit-Impulse Response and Dynamic Stiffness
Displacement, Velocity and Acceleration Unit-Impulse Response with Dynamic Stiffness and Rational Approximation
13.

図書

図書
by J.E. Gibson
出版情報: Oxford ; New York : Pergamon Press, 1980  ix, 289 p. ; 22 cm
シリーズ名: Pergamon international library of science, technology, engineering and social studies
Structures and solid body mechanics
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14.

図書

図書
edited by S.M. Dugar'yan ; translated by D. Lederman and A Barouch
出版情報: Jerusalem : Israel Program for Scientific Translations, 1966  948 p. ; 28 cm
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15.

図書

図書
A. I. Roussopolos ; tr. by G. S. Cavadias & I. Tazartes
出版情報: Amsterdam : Elsvier, 1965.  xi, 212p. ; 24 cm
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16.

図書

図書
出版情報: Swansea, U.K. : Pineridge Press International, c1986  xi, 445 p. ; 24 cm
シリーズ名: Finite element methods for plate and shell structures / edited by Thomas J.R. Hughes and Ernest Hinton ; v. 1
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17.

図書

図書
出版情報: Swansea, U.K. : Pineridge Press International, 1986  xi, 363 p. ; 24 cm
シリーズ名: Finite element methods for plate and shell structures / edited by Thomas J.R. Hughes and Ernest Hinton ; v. 2
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18.

図書

図書
Edward J. Haug, Kyung K. Choi, Vadim Komkov
出版情報: Orlando ; Tokyo : Academic Press, 1986  xvi, 381 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 177
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目次情報: 続きを見る
Preface
Finite-Dimensional Structural Systems
Distributed Parameter Structural Components
Structual Components with Shape as the Design
Design Sensitivity Analysis of Built-Up Structures
Appendix
References
Index
Preface
Finite-Dimensional Structural Systems
Distributed Parameter Structural Components
19.

図書

図書
Tung Au
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, 1963  521 p. ; 24 cm
シリーズ名: Prentice-Hall civil engineering and engineering mechanics series
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20.

図書

図書
by J.A. van den Broek
出版情報: New York : Wiley, c1942  xvii, 298 p. ; 24 cm
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21.

図書

図書
Gibson, A. H. (Arnold Hartley), 1878-
出版情報: London : Constable, 1914  viii, 80 p. ; 28 cm
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22.

図書

図書
by Rolt Hammond ; foreword by Sir Bruce White
出版情報: London : Odhams, 1956  224 p. ; 23 cm
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23.

図書

図書
by A. A. Jakkula and Henson K. Stephenson
出版情報: New York : Van Nostrand, c1953 1954  viii, 288 p. ; 24 cm
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24.

図書

図書
Harold C. Martin
出版情報: New York : McGraw-Hill , Tokyo : Kogakusha, c1966  xii, 331 p. ; 21 cm
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25.

図書

図書
S.P. Timoshenko, D.H. Young
出版情報: Tokyo : McGraw-Hill Kogakusha, c1965  x, 629 p. ; 21 cm
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26.

図書

図書
by Arthur Morley
出版情報: London : Longmans, Green, 1919  xi, 584 p. ; 23 cm
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27.

図書

図書
Anthony Hoadley
出版情報: New York : John Wiley, c1964  xiv, 609 p. ill., map ; 23 cm
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28.

図書

図書
Walter C. Hurty, Moshe F. Rubinstein
出版情報: Englewood Cliffs, N.J. ; Tokyo : Prentice-Hall, c1964  xv, 455 p. ; 24 cm
シリーズ名: Prentice-Hall international series in engineering of the physical sciences
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29.

図書

図書
Harold I. Laursen
出版情報: New York : McGraw-Hill, [1966]  xii, 159 p. ; 21 cm
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30.

図書

図書
edited by M. Zyczkowski
出版情報: Wien ; New York : Springer-Verlag, c1989  329 p. ; 24 cm
シリーズ名: CISM courses and lectures ; no. 308
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31.

図書

図書
Joseph J. Gennaro
出版情報: New York : Macmillan , London : Collier-Macmillan, c1965  292 p. ; 25 cm
シリーズ名: Macmillan series in civil engineering
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32.

図書

図書
A. A. Beleṣ & Mircea Soare
出版情報: Paris : Dunod, 1967.  686p. ; 25 cm
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33.

図書

図書
Ivo Babuška and Theofanis Strouboulis
出版情報: Oxford : Clarendon Press, 2001  xi, 802 p. ; 25 cm
シリーズ名: Numerical mathematics and scientific computation
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目次情報: 続きを見る
Introduction / 1:
A brief history of the finite element method / 1.0:
On computational engineering / 1.2:
Mathematical formulation of the model problem / 2:
The one-dimensional model problem / 2.0:
The two-dimensional model problem
The variational formulation of the model problem / 2.2:
The variational formulation of the model problem in two dimensions
Smoothness of the solution of the model problem / 2.3:
Smoothness of the solution of the two-dimensional model problem
Historical and bibliographical remarks / 2.4:
The finite element method / 3:
The Galerkin method and the properties of the approximate solution / 3.0:
The Galerkin method in two dimensions
The finite element method in two dimensions / 3.2:
The finite element interpolation and approximation error / 3.3:
The finite element interpolation and approximation error in two dimensions
The finite element interpolation and approximation: a special case / 3.4:
The interpolation error for the function r[superscript [alpha open phi]([theta]) in two dimensions
The description of the mesh and analyses of its optimality / 3.5:
The description of the mesh and analysis of its optimality in two dimensions
Historical and bibliographical comments / 3.6:
Local behavior in the finite element method / 4:
A-priori estimates for the nodal errors and the maximum error / 4.0:
A-priori estimates for the nodal errors and the maximum error in two dimensions
A-priori estimates for negative norms of the error / 4.2:
A-priori estimates for negative norms of the error in two dimensions
Local and pollution error in the finite element solution / 4.3:
The splitting of the error in the two-dimensional case
A-priori estimates for the pollution error / 4.4:
A-priori estimates for the pollution error in two dimensions
Further analysis of the pollution error: Interior estimates / 4.5:
The interior estimates in two dimensions
A-priori estimates for the local error: superconvergence / 4.6:
Superconvergence in two dimensions
A general approach for the analysis of local behavior of finite element methods for locally periodic meshes and its applications / 4.7:
A general approach for local asymptotic analysis and analysis of the supercovergence in two dimensions
Superconvergence via local averaging / 4.8:
Superconvergence based on local recovery: the two-dimensional case
A-posteriori estimation of the error / 4.9:
The residuum and the construction of lower and upper estimators for the energy norm of the error / 5.0:
The residuum and the construction of lower and upper estimators for the energy norm of the error: the two dimensional case
Analysis of the Dirichlet element residual estimator / 5.2:
Analysis of the Dirichlet element residual estimator in two dimensions
Analysis of the Neumann element residual estimator / 5.3:
Analysis of the Neumann element residual estimator in two dimensions
Subdomain residual estimates / 5.4:
Subdomain residual estimates in two dimensions
Analysis of the explicit element residual estimator / 5.5:
Analysis of the explicit element residual estimator in two dimensions
A-posteriori error estimates based on local averaging / 5.6:
A-posteriori estimates based on local averaging: the two-dimensional case
The effectivity of the error indicators: the principles for their comparison and the detailed analysis of their quality / 5.7:
The asymptotic analysis of the effectiveness of the element error indicators in two dimensions
Guaranteed a-posteriori error estimation and a-posteriori estimation of the pollution error / 5.8:
Upper and lower bounds for the energy norm of the error / 6.0:
Upper and lower bounds for the energy norm of the error in two dimensions
Upper and lower bounds for the error in the output, and a-posteriori estimation of the pollution / 6.2:
Upper and lower bounds for the error in the outputs, and a-posteriori estimation of the pollution error in two dimensions
Epilogue / 6.3:
Appendix to chapter 2
Appendix to chapter 3
Glossary of symbols
Author Index
Subject Index
Introduction / 1:
A brief history of the finite element method / 1.0:
On computational engineering / 1.2:
34.

図書

図書
В.С.Чернина ; под редакцией А.И. Лурье
出版情報: Москва : Наука, 1968  455 p. ; 23 cm
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35.

図書

図書
Naoji Shiraishi
出版情報: Tokio : Imperial Engineering College, 1890  17 p. ; 21 cm
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36.

図書

図書
S.P.Timoshenko, D.H.Young
出版情報: Auckland : McGraw-Hill, c1965  x, 629 p. ; 24 cm.
シリーズ名: McGraw-Hill civil engineering series
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37.

図書

図書
by Mircea Soare
出版情報: Oxford : Pergamon, 1967  xxi, 438 p. ; 25 cm
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38.

図書

図書
James M. Gere and William Weaver, Jr.
出版情報: Princeton, N.J. : Van Nostrand, c1965  xi, 475 p. ; 24 cm
シリーズ名: University series in civil engineering and applied mechanics
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39.

図書

図書
Huei-Huang Lee
出版情報: Mission : Schroff Development Corporation, c2010-  v. ; 28 cm
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40.

図書

図書
by Stephen H. Crandall ・・・ [et al.] ; edited by Stephen H. Crandall
出版情報: [Cambridge] : Technology Press of Massachusetts Institute of Technology , New York : Wiley , London : Chapman & Hall, c1958  x, 423 p. ; 24 cm
シリーズ名: Technology Press books in science and engineering
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41.

図書

図書
Zhangxin Chen
出版情報: Singapore : World Scientific, c2011  xxi, 326 p. ; 24 cm
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42.

図書

図書
Philip Gibson Hodge, jr
出版情報: New York : McGraw-Hill, 1959  xiv, 364 p. ; 24 cm
シリーズ名: McGraw-Hill series in engineering sciences
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43.

図書

図書
Grover L. Rogers
出版情報: New York : John Wiley , London : Chapman & Hall, c1959  xv, 355 p., 1 folded leaf ; 24 cm
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44.

図書

図書
John I. Parcel, Robert B.B. Moorman
出版情報: New York : Wiley, 1955  xiv, 571 p. ; 24 cm
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45.

図書

図書
By Thomas Clark Shedd and Jamison Vawter
出版情報: New York : John Wiley & Sons, 1941  xiii, 505 p. ; 22 cm
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46.

図書

図書
edited by William R. Osgood, prepared for the Ship Structure Committee
出版情報: New York : Reinhold, c1954  363 p. ; 24 cm
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47.

図書

図書
Hossein Ataei, Mohammadhossein Mamaghani
出版情報: [S.l.] : [Createspace Independent Publishing Platform], [20--]  1 v. (various pagings) ; 26 cm
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