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Portela A., Charafi A. — Finite Elements Using Maple: A Symbolic Programming Approach
Portela A., Charafi A. — Finite Elements Using Maple: A Symbolic Programming Approach

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Название: Finite Elements Using Maple: A Symbolic Programming Approach

Авторы: Portela A., Charafi A.

Аннотация:

An essential tool written to be used as the primary text for an undergraduate or early postgraduate course as well as a reference book for engineers and scientists who want to quickly develop finite-element programs.


Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 172

Добавлена в каталог: 13.11.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Accuracy      3 59 82 88 89 123 188 189 229 261 262
Admissibility, conditions      53 62 71 72 84 91 94 95 97 145 162 186 187 261
Admissibility, kinematic      58 181—184 252 255 256 258
Admissibility, static      58 182 252 255
Approximation, error      60 229
Approximation, floating-point      3
Approximation, global      54 62 64 88 89 136 142
Approximation, local      54 62 88 89 91 92 94 144
Approximation, methods      46 47 52—54 59
Aquifer      231 240
assembly      94—96 103 144 179 190 192 193 261 264 312
Bernoulli, equation      225
Bernoulli, hypothesis      310
boundary conditions      49 54 59 65 89 179 180 252
Boundary conditions, essential      61 63 90 93 96 98 180
Boundary conditions, nonessential      61 63 90 93 98 100 180
Collocation point      80 97 109 110 128
Compatibility      45 50 58 94 145 180 181 252 309
Completeness      62
Condition number      23
Constitutive relationships      45
Continuity      62 63 84 117 127 143 145 162 186 192 261
Continuity, ${C}^{0}$ element      147
Continuity, ${C}^{1}$ element      147
Convergence      63
Coordinates, curvilinear      156
Coordinates, generalized      144
Coordinates, length      150
Coordinates, natural      150
Coordinates, parametric      161
D'alambert's principle      49
Darcy's law      49 229
Data structures      34
Degrees of freedom      46 47 55 58 144 168 179 187 189 193 260 263 265 270 312
Differentiation      12 85 93 97 164 261
Dirac delta function      68
Discretization      45 47 53 58 156 179 185 189 192 259 262 275
Displacement      50
Displacement, constrained      262
Displacement, generalized      303
Dupuit's hypothesis      231
Element, beam      315
Element, isoparametric      161—163 168 169 190 197 271 273
Element, rectangular      147
Element, skew      314
Element, tetrahedron      265
Element, triangular      147 153 154 157 171 186 196 275
Element, truss      312
Energy, potential      183 188 256 257 261
Energy, strain      182 261
Equation, Laplace      47
Equation, Poisson      48
Equilibrium      45
Finite element mesh      144 150 168 179 186 188 189 202 227 233 261 262 275 288
Flow, confined      227
Flow, groundwater      229
Flow, irrotational      224
Flow, potential      48
Flow, seepage      48 232
Flow, steady-state      224
Flow, unconfiried      228
Flow, velocity      48
Fluid mechanics      45
Fluid, incompressible      223
Fluid, inviscid      224
Fourier's law      51
Fundamental solution      109
Generalized, displacement      303
Generalized, strain      303
Generalized, stress      303
Geometric isotropy      146
Gradient      49 174 175 181 185 226 233 248 262 293
Hooke's law      50
Initial conditions      52
Integral, boundary      53 54 59 65 87 93
Integral, domain      53 54 59 65 85 93
Integration      12
Integration by parts      54
Integration, numerical      166
Interpolation      62 89 91 1 155 179 261 298
Interpolation, Hermite      135
Interpolation, Lagrange      135
Interpolation, orthogonal      135
Interpolation, spline      143
Jaeobian      91 165 191 271
Kronecker delta      91
Linear algebra      20
Linearly independent      62
Local region      89 92 100 115
Maple object, array      7
Maple object, list      6
Maple object, set      6
Maple object, string      8
Maple object, table      7
Maple programming      16
Mesh, finite clement      37
Method, boundary elements      45
Method, collocation      54 68
Method, direct      52
Method, finite differences      45
Method, Galerkin      54 66
Method, indirect      53
Method, least squares      54 67
Method, moments      54 67
Model, asymptotic      56 58 251 269 303
Model, continuous      45
Model, discrete      45 52 55 59 180 311
Model, mathematical      45
Nodal values      89
Node      89
Numerical algorithms      1
Permeability      230 232 241
Processing, post-      196
Processing, pre-      196
Residual, boundary      53 59 65 89 90
Residual, domain      53 66 72
Shape function      94 102 117 144 148—150 161 162 185 186 190 191 260 266 272 313
Singular matrix      23
Soil, isotropic      48
Soil, orthotopic      229
Soil, permeability      48
Solid mechanics      45
strain      49 252—254 260 267 269 306
Stream function      226
Stress      50 252 255 260 265 269 273
Symbolic Operations      1
Theorem, of virtual displacements      256
Theorem, of virtual power      182
Theorem, of work      182 256
Theory of structures      56
Trial functions      62 64 72 79
Velocity potential      226
Wave equation      49
Weighted residual equation      53 62 65 79 145 164 258
Weighted residual equation, strong form      54 84 85 88 89 91 96 127
Weighted residual equation, transposed form      54 85 88 97 110
Weighted residual equation, weak form      54 85 88 93 102 117 183 185 258 260
Weighting function      53 54
Well posed problem      52
Worksheet interface      1
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