Programming the finite element method:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester
Wiley
2014
|
| Ausgabe: | 5. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XIV, 664 S. Ill., graph. Darst. |
| ISBN: | 9781119973348 |
Internformat
MARC
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| 100 | 1 | |a Smith, I. M. |d 1940- |e Verfasser |0 (DE-588)129228737 |4 aut | |
| 245 | 1 | 0 | |a Programming the finite element method |c I. M. Smith ; D. V. Griffiths ; L. Margetts |
| 250 | |a 5. ed. | ||
| 264 | 1 | |a Chichester |b Wiley |c 2014 | |
| 300 | |a XIV, 664 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
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| 650 | 0 | 7 | |a FORTRAN 90 |0 (DE-588)4267480-3 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804151512849448960 |
|---|---|
| adam_text | Titel: Programming the finite element method
Autor: Smith, I. M
Jahr: 2014
Contents
Preface to Fifth Edition xv
Acknowledgements xvii
1 Preliminaries: Computer Strategies 1
1.1 Introduction 1
1.2 Hardware 2
1.3 Memory Management 2
1.4 Vector Processors 3
1.5 Multi-core Processors 3
1.6 Co-processors 4
1.7 Parallel Processors 4
1.8 Applications Software 5
1.8.1 Compilers 5
1.8.2 Arithmetic 6
1.8.3 Conditions 7
1.8.4 Loops 8
1.9 Array Features 9
1.9.1 Dynamic Arrays 9
1.9.2 Broadcasting 9
1.9.3 Constructors 9
1.9.4 Vector Subscripts 10
1.9.5 Array Sections 11
1.9.6 Whole-array Manipulations 11
1.9.7 Intrinsic Procedures for Arrays 11
1.9.8 Modules 12
1.9.9 Subprogram Libraries 13
1.9.10 Structured Programming 15
1.10 Third-party Libraries 17
1.10.1 BLAS Libraries 17
1.10.2 Maths Libraries 17
1.10.3 User Subroutines 18
1.10.4 MPI Libraries 18
1.11 Visualisation 18
1.11.1 Starting ParaView 19
1.11.2 Display Restrained Nodes 20
vi
Contents
1.11.3 Display Applied Loads 21
1.11.4 Display Deformed Mesh 21
1.12 Conclusions 23
References 24
2 Spatial Discretisation by Finite Elements 25
2.1 Introduction 25
2.2 Rod Element 25
2.2.1 Rod Stiffness Matrix 25
2.2.2 Rod Mass Element 28
2.3 The Eigenvalue Equation 28
2.4 Beam Element 29
2.4.1 Beam Element Stiffness Matrix 29
2.4.2 Beam Element Mass Matrix 31
2.5 Beam with an Axial Force 31
2.6 Beam on an Elastic Foundation 32
2.7 General Remarks on the Discretisation Process 33
2.8 Alternative Derivation of Element Stiffness 33
2.9 Two-dimensional Elements: Plane Stress 35
2.10 Energy Approach and Plane Strain 38
2.10.1 Thermo elasticity 39
2.11 Plane Element Mass Matrix 40
2.12 Axisymmetric Stress and Strain 40
2.13 Three-dimensional Stress and Strain 42
2.14 Plate Bending Element 44
2.15 Summary of Element Equations for Solids 47
2.16 Flow of Fluids: Navier-Stokes Equations 47
2.17 Simplified Flow Equations 50
2.17.1 Steady State 51
2.17.2 Transient State 53
2.17.3 Convection 53
2.18 Further Coupled Equations: Biot Consolidation 54
2.19 Conclusions 56
References 56
3 Programming Finite Element Computations 59
3.1 Introduction 59
3.2 Local Coordinates for Quadrilateral Elements 59
3.2.1 Numerical Integration for Quadrilaterals 61
3.2.2 Analytical Integration for Quadrilaterals 63
3.3 Local Coordinates for Triangular Elements 64
3.3.1 Numerical Integration for Triangles 65
3.3.2 Analytical Integration for Triangles 65
3.4 Multi-Element Assemblies 66
3.5 Element-by-Element Techniques 68
3.5.1 Conjugate Gradient Method for Linear Equation Systems 68
3.5.2 Preconditioning 69
Contents
vii
3.5.3 Unsymmetric Systems 70
3.5.4 Symmetric Non-Positive Definite Equations 71
3.5.5 Eigenvalue Systems 71
3.6 Incorporation of Boundary Conditions 72
3.6.1 Convection Boundary Conditions 74
3.7 Programming using Building Blocks 75
3.7.1 Black Box Routines 76
3.7.2 Special Purpose Routines 77
3.7.3 Plane Elastic Analysis using Quadrilateral Elements 71
3.7.4 Plane Elastic Analysis using Triangular Elements 81
3.7.5 Axisymmetric Strain of Elastic Solids 82
3.7.6 Plane Steady Laminar Fluid Flow 83
3.7.7 Mass Matrix Formation 83
3.7.8 Higher-Order 2D Elements 84
3.7.9 Three-Dimensional Elements 86
3.7.10 Assembly of Elements 90
3.8 Solution of Equilibrium Equations 95
3.9 Evaluation of Eigenvalues and Eigenvectors 96
3.9.1 Jacobi Algorithm 96
3.9.2 Lanczos and Arnoldi Algorithms 98
3.10 Solution of First-Order Time-Dependent Problems 99
3.11 Solution of Coupled Navier-Stokes Problems 103
3.12 Solution of Coupled Transient Problems 104
3.12.1 Absolute Load Version 105
3.12.2 Incremental Load Version 106
3.13 Solution of Second-Order Time-Dependent Problems 106
3.13.1 Modal Superposition 107
3.13.2 Newmark or Crank -Nicolson Method 109
3.13.3 Wilson s Method 110
3.13.4 Complex Response 111
3.13.5 Explicit Methods and Other Storage-Saving Strategies 112
References 113
4 Static Equilibrium of Structures 115
4.1 Introduction 115
Program 4.1 One-dimensional analysis of axially loaded elastic rods
using 2-node rod elements 116
Program 4.2 Analysis of elastic pin-jointed frames using 2-node rod
elements in two or three dimensions 121
Program 4.3 Analysis of elastic beams using 2-node beam elements
(elastic foundation optional) 127
Program 4.4 Analysis of elastic rigid-jointed frames using 2-node
beam/rod elements in two or three dimensions 133
Program 4.5 Analysis of elastic-plastic beams or frames using
2-node beam or beam/rod elements in one, two or three
dimensions 141
Program 4.6 Stability (buckling) analysis of elastic beams using
2-node beam elements (elastic foundation optional) 130
viii
Contents
Program 4,7 Analysis of plates using 4-node rectangular plate ele¬
ments. Homogeneous material with identical elements. Mesh
numbered in x- or y-direction 153
4.2 Conclusions 157
4.3 Glossary of Variable Names 157
4.4 Exercises 159
References 168
5 Static Equilibrium of Linear Elastic Solids 169
5.1 Introduction 169
Program 5.1 Plane or axisymmetric strain analysis of a rectangular
elastic solid using 3-, 6-, 10- or 15-node right-angled triangles
or 4-, 8- or 9-node rectangular quadrilaterals. Mesh numbered
in x{r)- or y(z)-direction 170
Program 5.2 Non-axisymmetric analysis of a rectangular axisymmet¬
ric elastic solid using 8-node rectangular quadrilaterals. Mesh
numbered in r- or z -direction 184
Program 5.3 Three-dimensional analysis of a cuboidal elastic solid
using 8-, 14- or 20-node brick hexahedra. Mesh numbered in
xz-planes then in the y-direction 191
Program 5.4 General 2D (plane strain) or 3D analysis of elastic solids.
Gravity loading option 196
Program 5.5 Plane or axisymmetric thermoelastic analysis of an elas¬
tic solid using 3-, 6-, 10- or 15-node right-angled triangles or
4-, 8- or 9-node rectangular quadrilaterals. Mesh numbered in
x(r)- or y(z)-direction 205
Program 5.6 Three-dimensional strain of a cuboidal elastic solid using
8-, 14- or 20-node brick hexahedra. Mesh numbered in xz-
planes then in the y-direction. No global stiffness matrix assem¬
bly. Diagonally preconditioned conjugate gradient solver 209
Program 5.7 Three-dimensional strain of a cuboidal elastic solid using
8-, 14- or 20-node brick hexahedra. Mesh numbered in xz-
planes then in the y-direction. No global stiffness matrix. Diag¬
onally preconditioned conjugate gradient solver. Optimised
maths library, ABAQUS UMAT version 213
5.2 Glossary of Variable Names 221
5.3 Exercises 224
References 232
6 Material Non-linearity 233
6.1 Introduction 233
6.2 Stress-strain Behaviour 235
6.3 Stress Invariants 236
6.4 Failure Criteria 238
6.4.1 Von Mises 238
6.4.2 Mohr-Coulomb and Tresca 239
6.5 Generation of Body Loads 240
6.6 Viscoplasticity 240
Contents
ix
6.7 Initial Stress 242
6.8 Corners on the Failure and Potential Surfaces 243
Program 6.1 Plane-strain-bearing capacity analysis of an elastic-plastic
(von Mises) material using 8-node rectangular quadrilaterals.
Flexible smooth footing. Load control. Viscoplastic strain method 244
Program 6.2 Plane-strain-bearing capacity analysis of an elastic-plastic
(von Mises) material using 8-node rectangular quadrilaterals.
Flexible smooth footing. Load control. Viscoplastic strain method.
No global stiffness matrix assembly. Diagonally preconditioned
conjugate gradient solver 250
Program 6.3 Plane-strain-bearing capacity analysis of an elastic-plastic
(Mohr-Coulomb) material using 8-node rectangular quadrilat¬
erals. Rigid smooth footing. Displacement control. Viscoplastic
strain method 254
Program 6.4 Plane-strain slope stability analysis of an elastic-plastic
(Mohr-Coulomb) material using 8-node rectangular quadrilat¬
erals. Gravity loading. Viscoplastic strain method 260
Program 6.5 Plane-strain earth pressure analysis of an elastic-plastic
(Mohr-Coulomb) material using 8-node rectangular quadrilat¬
erals. Rigid smooth wall. Initial stress method 265
6.9 Elastoplastic Rate Integration 270
6.9.1 Forward Euler Method 272
6.9.2 Backward Euler Method 21A
6.10 Tangent Stiffness Approaches 275
6.10.1 Inconsistent Tangent Matrix 275
6.10.2 Consistent Tangent Matrix 275
6.10.3 Convergence Criterion 276
Program 6.6 Plane-strain-bearing capacity analysis of an elastic-plastic
(von Mises) material using 8-node rectangular quadrilaterals.
Flexible smooth footing. Load control. Consistent tangent stiff¬
ness. Closest point projection method (CPPM) 277
Program 6.7 Plane-strain-bearing capacity analysis of an elastic-plastic
(von Mises) material using 8-node rectangular quadrilaterals.
Flexible smooth footing. Load control. Consistent tangent stiff¬
ness. CPPM. No global stiffness matrix assembly. Diagonally
preconditioned conjugate gradient solver 282
Program 6.8 Plane-strain-bearing capacity analysis of an elastic-plastic
(von Mises) material using 8-node rectangular quadrilaterals.
Flexible smooth footing. Load control. Consistent tangent stiff¬
ness. Radial return method (RR) with line search 286
6.11 The Geotechnical Processes of Embanking and Excavation 289
6.11.1 Embanking 289
Program 6.9 Plane-strain construction of an elastic-plastic
(Mohr-Coulomb) embankment in layers on a foundation using
8-node quadrilaterals. Viscoplastic strain method 290
6.11.2 Excavation
294
X
Contents
Program 6.10 Plane-strain construction of an elastic-plastic
(Mohr-Coulomb) excavation in layers using 8-node quadrilat¬
erals. Viscoplastic strain method 300
6.12 Undrained Analysis 305
Program 6.11 Axisymmetric undrained strain of an elastic-plastic
(Mohr-Coulomb) solid using 8-node rectangular quadrilater¬
als. Viscoplastic strain method 308
Program 6.12 Three-dimensional strain analysis of an elastic-plastic
(Mohr-Coulomb) slope using 20-node hexahedra. Gravity load¬
ing. Viscoplastic strain method 313
Program 6.13 Three-dimensional strain analysis of an elastic-plastic
(Mohr-Coulomb) slope using 20-node hexahedra. Gravity load¬
ing. Viscoplastic strain method. No global stiffness matrix
assembly. Diagonally preconditioned conjugate gradient solver 319
6.13 Glossary of Variable Names 322
6.14 Exercises 327
References 331
7 Steady State Flow 333
7.1 Introduction 333
Program 7.1 One-dimensional analysis of steady seepage using
2-node line elements 334
Program 7.2 Plane or axisymmetric analysis of steady seepage using
4-node rectangular quadrilaterals. Mesh numbered in x(r)- or
y(z (-direction 337
Program 7.3 Analysis of plane free surface flow using 4-node quadri¬
laterals. Analytical form of element conductivity matrix 344
Program 7.4 General two- (plane) or three-dimensional analysis of
steady seepage 351
Program 7.5 General two- (plane) or three-dimensional analysis of
steady seepage. No global conductivity matrix assembly. Diag¬
onally preconditioned conjugate gradient solver 355
7.2 Glossary of Variable Names 359
7.3 Exercises 361
References 367
8 Transient Problems: First Order (Uncoupled) 369
8.1 Introduction 369
Program 8.1 One-dimensional transient (consolidation) analysis using
2-node line elements. Implicit time integration using the theta
method 370
Program 8.2 One-dimensional transient (consolidation) analysis (set¬
tlement and excess pore pressure) using 2-node line elements.
Implicit time integration using the theta method 373
Program 8.3 One-dimensional consolidation analysis using 2-node line
elements. Explicit time integration. Element by element. Lumped
mass 377
Contents
xi
Program 8.4 Plane or axisymmetric transient (consolidation) analy¬
sis using 4-node rectangular quadrilaterals. Mesh numbered
in x(r)- or y(z (-direction. Implicit time integration using the
theta method 380
Program 8.5 Plane or axisymmetric transient (consolidation) analy¬
sis using 4-node rectangular quadrilaterals. Mesh numbered
in x(r)- or (z (-direction. Implicit time integration using the
theta method. No global stiffness matrix assembly. Diago¬
nally preconditioned conjugate gradient solver 388
Program 8.6 Plane or axisymmetric transient (consolidation) analy¬
sis using 4-node rectangular quadrilaterals. Mesh numbered
in x(r)- or y(z (-direction. Explicit time integration using the
theta = 0 method 390
Program 8.7 Plane or axisymmetric transient (consolidation) analy¬
sis using 4-node rectangular quadrilaterals. Mesh numbered in
x(r)- or y(z (-direction, theta method using an element-by-
element product algorithm 394
8.2 Comparison of Programs 8.4, 8.5, 8.6 and 8.7 397
Program 8.8 General two-(plane) or three-dimensional transient (con¬
solidation) analysis. Implicit time integration using the theta
method 397
Program 8.9 Plane analysis of the diffusion-convection equation using
4-node rectangular quadrilaterals. Implicit time integration using
the theta method. Self-adjoint transformation 401
Program 8.10 Plane analysis of the diffusion-convection equation
using 4-node rectangular quadrilaterals. Implicit time integra¬
tion using the theta method. Untransformed solution 405
Program 8.11 Plane or axisymmetric transient thermal conduction anal¬
ysis using 4-node rectangular quadrilaterals. Implicit time inte¬
gration using the theta method. Option of convection and flux
boundary conditions 410
8.3 Glossary of Variable Names 416
8.4 Exercises 419
References 422
9 Coupled Problems 423
9.1 Introduction 423
Program 9.1 Analysis of the plane steady-state Navier-Stokes equation
using 8-node rectangular quadrilaterals for velocities coupled
to 4-node rectangular quadrilaterals for pressures. Mesh num¬
bered in x-direction. Freedoms numbered in the order u—p—v 424
Program 9.2 Analysis of the plane steady-state Navier-Stokes equation
using 8-node rectangular quadrilaterals for velocities coupled
to 4-node rectangular quadrilaterals for pressures. Mesh num¬
bered in x-direction. Freedoms numbered in the order u—p — v.
Element-by-element solution using BiCGStab(l) with no pre¬
conditioning. No global matrix assembly 429
xii
Contents
Program 9.3 One-dimensional coupled consolidation analysis of a Biot
poroelastic solid using 2-node line elements. Freedoms num¬
bered in the order v — uw 433
Program 9.4 Plane strain consolidation analysis of a Biot elastic solid
using 8-node rectangular quadrilaterals for displacements cou¬
pled to 4-node rectangular quadrilaterals for pressures. Free¬
doms numbered in order u—v—uw. Incremental load version 438
Program 9.5 Plane strain consolidation analysis of a Biot elastic solid
using 8-node rectangular quadrilaterals for displacements cou¬
pled to 4-node rectangular quadrilaterals for pressures. Free¬
doms numbered in order u —v —uw. Incremental load ver¬
sion. No global stiffness matrix assembly. Diagonally precon¬
ditioned conjugate gradient solver 445
Program 9.6 Plane strain consolidation analysis of a Biot poroelas¬
tic-plastic (Mohr- Coulomb) material using 8-node rectangu¬
lar quadrilaterals for displacements coupled to 4-node rectan¬
gular quadrilaterals for pressures. Freedoms numbered in the
order u — v — uw. Viscoplastic strain method 448
9.2 Glossary of Variable Names 454
9.3 Exercises 459
References 460
10 Eigenvalue Problems 461
10.1 Introduction 461
Program 10.1 Eigenvalue analysis of elastic beams using 2-node beam
elements. Lumped mass 462
Program 10.2 Eigenvalue analysis of an elastic solid in plane strain
using 4- or 8-node rectangular quadrilaterals. Lumped mass.
Mesh numbered in y-direction 465
Program 10.3 Eigenvalue analysis of an elastic solid in plane strain
using 4-node rectangular quadrilaterals. Lanczos method. Con¬
sistent mass. Mesh numbered in y-direction 469
Program 10.4 Eigenvalue analysis of an elastic solid in plane strain
using 4-node rectangular quadrilaterals with ARPACK. Lumped
mass. Element-by-element formulation. Mesh numbered in
y-direction 474
10.2 Glossary of Variable Names 477
10.3 Exercises 480
References 482
11 Forced Vibrations 483
11.1 Introduction 483
Program 11.1 Forced vibration analysis of elastic beams using 2-node
beam elements. Consistent mass. Newmark time stepping 483
Program 11.2 Forced vibration analysis of an elastic solid in plane
strain using 4- or 8-node rectangular quadrilaterals. Lumped
mass. Mesh numbered in the y-direction. Modal superposition 489
Contents
xiii
Program 11.3 Forced vibration analysis of an elastic solid in plane
strain using rectangular 8-node quadrilaterals. Lumped or con¬
sistent mass. Mesh numbered in the y-direction. Implicit time
integration using the theta method 493
Program 11.4 Forced vibration analysis of an elastic solid in plane
strain using rectangular 8-node quadrilaterals. Lumped or con¬
sistent mass. Mesh numbered in the y-direction. Implicit time
integration using Wilson s method 498
Program 11.5 Forced vibration of a rectangular elastic solid in plane
strain using 8-node quadrilateral elements numbered in the
y -direction. Lumped mass, complex response 501
Program 11.6 Forced vibration analysis of an elastic solid in plane
strain using uniform size rectangular 4-node quadrilaterals.
Mesh numbered in the y-direction. Lumped or consistent mass.
Mixed explicit/ implicit time integration 504
Program 11.7 Forced vibration analysis of an elastic solid in plane
strain using rectangular 8-node quadrilaterals. Lumped or con¬
sistent mass. Mesh numbered in the y-direction. Implicit time
integration using the theta method. No global matrix assem¬
bly. Diagonally preconditioned conjugate gradient solver 508
Program 11.8 Forced vibration analysis of an elastic-plastic (von
Mises) solid in plane strain using rectangular 8-node quadri¬
lateral elements. Lumped mass. Mesh numbered in the
y-direction. Explicit time integration 512
11.2 Glossary of Variable Names 517
11.3 Exercises 521
References 522
12 Parallel Processing of Finite Element Analyses 523
12.1 Introduction 523
12.2 Differences between Parallel and Serial Programs 525
12.2.1 Parallel Libraries 525
12.2.2 Global Variables 526
12.2.3 MPI Library Routines 526
12.2.4 The _pp Appendage 527
12.2.5 Simple Test Problems 527
12.2.6 Reading and Writing 530
12.2.7 rest Instead of nf 532
12.2.8 Gathering and Scattering 533
12.2.9 Reindexing 533
12.2.10 Domain Composition 533
12.2.11 Third-party Mesh-partitioning Tools 534
12.2.12 Load Balancing 535
Program 12.1 Three-dimensional analysis of an elastic solid.
Compare Program 5.6 536
Program 12.2 Three-dimensional analysis of an elastoplastic
(Mohr-Coulomb) solid. Compare Program 6.13 542
Program 12.3 Three-dimensional Laplacian flow. Compare Program 7.5 548
xiv
Contents
Program 12.4 Three-dimensional transient heat conduction-implicit
analysis in time. Compare Program 8.5 553
Program 12.5 Three-dimensional transient flow-explicit analysis in
time. Compare Program 8.6 562
Program 12.6 Three-dimensional steady-state Navier-Stokes analy¬
sis. Compare Program 9.2 565
Program 12.7 Three-dimensional analysis of Biot poro elastic solid.
Incremental version. Compare Program 9.5 572
Program 12.8 Eigenvalue analysis of three-dimensional elastic solid.
Compare Program 103 576
Program 12.9 Forced vibration analysis of a three-dimensional elastic
solid. Implicit integration in time. Compare Program 11.7 581
Program 12.10 Forced vibration analysis of three-dimensional elasto
plastic solid. Explicit integration in time. Compare Program 11.8 585
12.3 Graphics Processing Units 589
Program 12.11 Three-dimensional strain of an elastic solid using
8-, 14- or 20-node brick hexahedra. No global stiffness matrix
assembly. Diagonally preconditioned conjugate gradient solver.
GPU version. Compare Program 5.7 589
12.4 Cloud Computing 594
12.5 Conclusions 596
12.6 Glossary of Variable Names 597
References 602
Appendix A Equivalent Nodal Loads 605
Appendix B Shape Functions and Element Node Numbering 611
Appendix C Plastic Stress-Strain Matrices and Plastic Potential Derivatives 619
Appendix D main Library Subprograms 623
Appendix E geom Library Subroutines 635
Appendix F Parallel Library Subroutines 639
Appendix G External Subprograms 645
Author Index 649
Subject Index
653
|
| any_adam_object | 1 |
| author | Smith, I. M. 1940- Griffiths, Denwood V. 1953- Margetts, Lee |
| author_GND | (DE-588)129228737 (DE-588)129230308 |
| author_facet | Smith, I. M. 1940- Griffiths, Denwood V. 1953- Margetts, Lee |
| author_role | aut aut aut |
| author_sort | Smith, I. M. 1940- |
| author_variant | i m s im ims d v g dv dvg l m lm |
| building | Verbundindex |
| bvnumber | BV041405209 |
| classification_rvk | SK 910 |
| classification_tum | MAT 674f |
| ctrlnum | (OCoLC)864569730 (DE-599)GBV752343475 |
| discipline | Mathematik |
| edition | 5. ed. |
| format | Book |
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| id | DE-604.BV041405209 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:56:00Z |
| institution | BVB |
| isbn | 9781119973348 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026852622 |
| oclc_num | 864569730 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-703 DE-522 DE-29T DE-573 |
| owner_facet | DE-91G DE-BY-TUM DE-703 DE-522 DE-29T DE-573 |
| physical | XIV, 664 S. Ill., graph. Darst. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Wiley |
| record_format | marc |
| spelling | Smith, I. M. 1940- Verfasser (DE-588)129228737 aut Programming the finite element method I. M. Smith ; D. V. Griffiths ; L. Margetts 5. ed. Chichester Wiley 2014 XIV, 664 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Bodenmechanik (DE-588)4007385-3 gnd rswk-swf FORTRAN 90 (DE-588)4267480-3 gnd rswk-swf Programmierung (DE-588)4076370-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s Programmierung (DE-588)4076370-5 s DE-604 Bodenmechanik (DE-588)4007385-3 s 1\p DE-604 FORTRAN 90 (DE-588)4267480-3 s 2\p DE-604 Griffiths, Denwood V. 1953- Verfasser (DE-588)129230308 aut Margetts, Lee Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026852622&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Smith, I. M. 1940- Griffiths, Denwood V. 1953- Margetts, Lee Programming the finite element method Bodenmechanik (DE-588)4007385-3 gnd FORTRAN 90 (DE-588)4267480-3 gnd Programmierung (DE-588)4076370-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4007385-3 (DE-588)4267480-3 (DE-588)4076370-5 (DE-588)4017233-8 |
| title | Programming the finite element method |
| title_auth | Programming the finite element method |
| title_exact_search | Programming the finite element method |
| title_full | Programming the finite element method I. M. Smith ; D. V. Griffiths ; L. Margetts |
| title_fullStr | Programming the finite element method I. M. Smith ; D. V. Griffiths ; L. Margetts |
| title_full_unstemmed | Programming the finite element method I. M. Smith ; D. V. Griffiths ; L. Margetts |
| title_short | Programming the finite element method |
| title_sort | programming the finite element method |
| topic | Bodenmechanik (DE-588)4007385-3 gnd FORTRAN 90 (DE-588)4267480-3 gnd Programmierung (DE-588)4076370-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Bodenmechanik FORTRAN 90 Programmierung Finite-Elemente-Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026852622&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT smithim programmingthefiniteelementmethod AT griffithsdenwoodv programmingthefiniteelementmethod AT margettslee programmingthefiniteelementmethod |