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Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 1, The basis)
Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 1, The basis)



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Название: The finite element method (vol. 1, The basis)

Авторы: Zienkiewicz O.C., Taylor L.R.

Аннотация:

In the years since the fourth edition of this seminal work was published, active research has further developed the Finite Element Method into the pre-eminent tool for the modelling of physical systems. Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and authoritatively incorporates the latest developments of this dynamic field. Expanded to three volumes the book now covers the basis of the method and its application to advanced solid mechanics and also advanced fluid dynamics. Volume 1: The Basis is intended as a broad overview of the Finite Element Method. Aimed at undergraduates, postgraduates and professional engineers, it provides a complete introduction to the method.
Volume 2 and Volume 3 of the Finite Element Method cover non-linear solid and structural mechanics and fluid dynamics respectively. Both are essential reading for postgraduate students and professional engineers working in these disciplines.


Язык: en

Рубрика: Математика/Численные методы/Конечные элементы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Fifth edition

Год издания: 2000

Количество страниц: 707

Добавлена в каталог: 20.02.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Methods: variational      3
Mid-edge nodes      188
Mid-face nodes      188
Mid-side shape functions      176
Mid-side shift      234
Middle half rule      206
Middle third rule      206
Mikhlin, S.C.      32 38; 66 85
MINI      338
Minich, M.D.      35 38
Minimization      19
Minimization, bandwidth      587
Minimization, least square      385
Minimum constraint variables      282
Minimum integration points      375
Minimum of functional      69
Minimum order of integration      223
Minimum principle      76
Minimum span      449
Miracles      233
Miranda, I.      514 521 540
Miscellaneous weight functions      83
Mitchell, A.R.      84 86; 275
Mitchell, S.A.      405 427
Mixed approximation      309
Mixed form      278 284 304 319 352 353
Mixed form subdomains      349 351
Mixed formulation      42 276 304 342 346 542
Mixed formulation, two-field      284
Mixed formulations      565 587
Mixed formulations, three-field      291
Mixed methods      307
Mixed patch test      307 325 349
Mixed problem      299
Mixtures, water/oil      565
Moan, T.      374 398
Modal analysis      485 486
Modal damping      489
Modal decomposition      486 487 490 517 530
Modal orthogonality      478
Modally decomposed      553
Mode: bubble      329 331 334 338
Mode: incompatible      269
Mode: spurious      262
Mode: zero-energy      261
Model: linear elastic      558
Model: physical      83
Modes: Escher      263
Modes: normal      478
Modes: participation of      490
Modes: quadratic      338
Modes: rigid body      348 359
Modes: singular element      256
Modes: vibration      550
Modes: wild      263
Modes: zero energy      460
Modified variational principle      74
Module: data input      576—578
Module: mesh input      583
Module: results      576
Module: solution      576 590
Mohraz, B.      604 618
Molification      43
Moment: bending      7 35
Moments, internal bending      26
Monaghan, J.J.      464 466
Monk, P.      404 415 427
Morand, H.      545 549 550 573
Morgan, K.      37 38; 86; 139; 247; 335 345; 363; 406 427
Morton, K.W.      446 465 494 538
Mote, C.D.      196 199
Motion: earthquake      557
Motion: earthquake forcing      556
Motion: rigid body      10 226
Moving least square approximation      438 443 457
Moving weight function      438 439
Mowbray, D.F.      234 248
Mullen, R.      566 574
Mullord, P.      429 446 464
Multi-step algorithms      522
Multi-step polynomial approximation      524
Multigrid procedures      571
Multiple domains      542
Multiple element routines      583
Multiplication, vector      640
Multiplier: Lagrange      70 71 73 75 76 280 282 346 349 361
Multistep methods      494 522
Multistep recurrence algorithms      522
Munro, E.      153 162
Murthy Krishna, A.      234 248
Naevert, U.      494 500 539
Nagtegaal, J.C.      320 322 344
Nakazawa, S.      34 38; 275; 299 305 306; 323 324 325 344
Narrow beams      171
Nath, B.      149 162
Natural boundary condition      44 45 66 143 278
Natural conditions      452
Natural frequencies      550
Natural variational principle      61 79 80
Nay, R.A.      429 465
Naylor, D.J.      78 85; 343
Nayroles, B.      430 443 453 465
Near incompressibility      271 293 298 307 316 320 Poisson's
Negative lumped mass      474
Neighbour criterion, Voronoi      447 453
Neitaanmaki, P.      375 398
Nesting grids      229
Networks: electrical      10
Networks: fluid      10
Neutron transport      500
Newmark      531 533 593 594
Newmark algorithm      512
Newmark algorithm (GN22)      515
Newmark algorithm, generalized      508
Newmark, N.M.      1 3 16; 512 521 522 529 540 541
Newton — Cotes quadrature      217
Newton's laws of motion      54
Newton's methods      594
Newton, R.E.      153 162; 491; 548 572
Nickell, R.E.      470 491; 540
Nicolson, P.      499 540
Nishigaki, I.      405 427
Nithiarasu, P.      326 335 345
Nodal coordinates      578 583
Nodal displacements      8 88 587
Nodal forces      6 95 351 471 587
Nodal forces distributed loads      5
Nodal forces, equivalent      23
Nodal forces, external      118
Nodal forces, prescribed      578
Nodal point quadrature      474
Nodal points      18
Nodeless internal parameters      177
Nodeless variables      177
nodes      4
Nodes for corner      188
Nodes, blocks of      583
Nodes, coalescing two      236
Nodes, internal      177
Nodes, mid-edge      188
Nodes, mid-face      188
Non-conforming elements      33 250
Non-homogeneous media      144
Non-homogeneous shaft      148
Non-linear algebraic equations      594
Non-linear differential equations      66
Non-linear problems      494
Non-robust element      252
Non-self adjoint operators      81
Non-self-adjoint problem      646
Non-singular matrix      252
Non-square integrable      43
Non-symmetrical loading      124
Non-trivial solutions      554
Non-unique mapping      204
Norm density, constant energy      401
Norm error      365
Norm error, energy      387 405
Norm error, global energy      416
Norm error, relative energy      367
Norm: energy      366
Norm: global energy      405
Norm: L2      366
Normal flux      301 388
Normal modes      478
Normalized coordinates, triangle      179
Norrie, D.H.      159 162 163
Notation: indicial      626 630
Nuclear pressure vessel      137 149
Number: condition      197 617
Number: penalty      76 317
Numerical integration      117 200 217 224 598 650 integration quadrature
Numerical integration procedures      598
Numerical integration: prism      219
Numerical integration: rectangular      219
Numerical integration: tetrahedral      221
Numerical integration: triangle      221
Numerical oscillation      475
Numerical patch test      257
Numerically integrated finite elements      236
Oden, J.T.      66 82 85 86; 298 305 306; 343; 363 364; 387 388 392 398 399 400; 415 426 427 428; 444 445 453 457 458 459 463 464 465 466; 539
Oglesby, J.J.      234 247
Oh, K.P.      158 162
Ohayon, R.      545 549 550 551 572 573
Oiiate, E.      326 345; 411 426; 447 453 457 465 466
Oil field      565
Oil recovery      564
One-dimensional elements      183
Opening, reinforced      101
Operator: linear      67
Operator: non-self adjoint      81
Operator: self-adjoint      67
Operator: small strain      55
Optimal mesh      405
Optimal sampling points      370 371
Optimal superconvergent sampling      375
Optimization      323
Order of convergence      32 59
Order of error      165
Order of integration      224
Order stability, higher      520
Ordinary differential equations      56
Orifice      320 322
Orkisz, J.      429 446 447 449 453 464 465
Orthogonal axes      627
Orthogonal form      191
orthogonal series      167
Orthogonality      192
Orthogonality modal      478
Ortiz, P.      326 335 345
Osborn, J.E.      276 304
Oscillation      81 503 505
Oscillation, numerical      475
Oscillations of natural harbour      483
Oscillations, three-dimensional      482
Oscillatory results      307
Ostergren, W.J.      234 236 247
Outgoing waves      548
Output file      591
Output module, solution and      577
Overall equilibrium      8
Overflow, jet      160
Overlapping domains      544
Overspill      204
Owen, D.R.J.      79 81 86; 162
p convergence      59
p-refinement      402 404 415 416 421
p-step algorithm, weighted residual      528
Pad: bearing      157
Pad: stepped (lubrication)      157
Padlog, J.      127 139
Paidoussis, M.P.      545 549 550 573
Pairs, complex      489
PALLOC (memory management)      589
Parabolic equation      468
Parallel computation      567
Parameter: frame      351
Parameter: nodeless internal      177
Parameter: penalty      325
Parameter: system      14
Parameter: undetermined      30
Parameter: weighting      406
Parametric curvilinear coordinates      203
Parekh, C.J.      470 491; 539
Parent coordinates      207
Park, K.C.      567 572 574 575
Parks, D.M.      234 248; 322 344
Parlett, B.N.      479 480 492
Partial discretization      55
Partial field approximation      346 348
Participation factors, eigenvalue      494
Participation of modes      490
Particle hydrodynamics, smooth      464
Partition of unity      166 430 442 445 457
Partition: element      566
Partitioned single-phase systems      565
Partitioning      569 624
Partitions: implicit-explicit      565 566
Partitions: irregular      570
Pascal triangle patch      253
Pastor, M.      103 111; 564 573 574
Patch equilibrium, recovery by      383
Patch of elements      377
Patch recovery: superconvergent      377 383
Patch test      33 250—270 430
Patch test A      260
Patch test B      254 260
Patch test C      260
Patch test: Babuska      392
Patch test: generalised      255
Patch test: higher order      257 261 271
Patch test: incompatible element      267
Patch test: incompressibility      326
Patch test: mixed      307 325 349
Patch test: numerical      257
Patch test: simple      253
Patch test: weak      267 270
Patch: element      285 384 391
Patch: infinitesimal      254
Patch: superconvergent      378
Pathological arrangements of elements      257
Patil, B.S.      470 483 484 491
Paul, D.K.      557 558 559 564 567 572 573 574 575
Pavlin, V.      429 446 464
Pawsey, S.F.      318 344
Payne, N.A.      10 17
PCG      617
Peano, A.G.      192 193
Peck, R.B.      470 491
Pedro, O.      135 139
Peiro, J.      138 139
Pelle, J.P.      383 391 394 399 400
Pelz, R.B.      453 466
Penalty function      76 77 78 83
Penalty number      76 317
Penalty parameter      325
Penalty term      78
Penzien, J.      472 486 487 490 491 492
Peraire, J.      138 139; 247; 406 427
Perforated dam      413 419
1 2 3 4 5 6 7 8 9 10 11
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