Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
- ISBN: 9780486453019 | 0486453014
- Cover: Paperback
- Copyright: 10/6/2006
A powerful tool for the approximate solution of differential equations, the finite element is extensively used in industry and research. This book offers students of engineering and physics a comprehensive view of the principles involved, with numerous illustrative examples and exercises. 1983 edition.
1. CONTINUUM BOUNDARY VALUE PROBLEMS AND THE NEED FOR NUMERICAL DISCRETIZATION. FINITE DIFFERENCE METHODS | 1 | (37) | |||
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1 | (1) | |||
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2 | (4) | |||
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6 | (8) | |||
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14 | (4) | |||
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18 | (4) | |||
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22 | (8) | |||
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30 | (2) | |||
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32 | (1) | |||
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33 | (1) | |||
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34 | (2) | |||
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36 | (1) | |||
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37 | (1) | |||
2. WEIGHTED RESIDUAL METHODS: USE OF CONTINUOUS TRIAL FUNCTIONS | 38 | (57) | |||
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38 | (4) | |||
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42 | (7) | |||
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49 | (8) | |||
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57 | (6) | |||
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63 | (8) | |||
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71 | (4) | |||
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75 | (14) | |||
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89 | (4) | |||
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93 | (1) | |||
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93 | (1) | |||
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94 | (1) | |||
3. PIECEWISE DEFINED TRIAL FUNCTIONS AND THE FINITE ELEMENT METHOD | 95 | (66) | |||
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95 | (1) | |||
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96 | (7) | |||
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103 | (2) | |||
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105 | (1) | |||
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106 | (13) | |||
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119 | (7) | |||
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126 | (6) | |||
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132 | (16) | |||
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148 | (6) | |||
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154 | (3) | |||
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157 | (3) | |||
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160 | (1) | |||
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160 | (1) | |||
4. HIGHER ORDER FINITE ELEMENT APPROXIMATION | 161 | (32) | |||
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161 | (1) | |||
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162 | (2) | |||
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164 | (1) | |||
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164 | (7) | |||
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171 | (7) | |||
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178 | (7) | |||
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185 | (5) | |||
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190 | (1) | |||
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190 | (2) | |||
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192 | (1) | |||
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192 | (1) | |||
5. MAPPING AND NUMERICAL INTEGRATION | 193 | (38) | |||
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193 | (13) | |||
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206 | (8) | |||
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214 | (14) | |||
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228 | (1) | |||
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229 | (1) | |||
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230 | (1) | |||
6. VARIATIONAL METHODS | 231 | (35) | |||
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231 | (1) | |||
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232 | (4) | |||
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236 | (8) | |||
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244 | (4) | |||
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248 | (6) | |||
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254 | (2) | |||
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256 | (3) | |||
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259 | (5) | |||
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264 | (1) | |||
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265 | (1) | |||
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265 | (1) | |||
7. PARTIAL DISCRETIZATION AND TIME-DEPENDENT PROBLEMS | 266 | (43) | |||
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266 | (1) | |||
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267 | (3) | |||
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270 | (6) | |||
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276 | (7) | |||
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283 | (24) | |||
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307 | (1) | |||
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308 | (1) | |||
8. GENERALIZED FINITE ELEMENTS, ERROR ESTIMATES, AND CONCLUDING REMARKS | 309 | (14) | |||
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309 | (1) | |||
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310 | (1) | |||
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311 | (2) | |||
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313 | (9) | |||
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322 | (1) | |||
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322 | (1) | |||
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322 | (1) | |||
INDEX | 323 |
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