- Page 1: The Finite Element Method Fifth edi
- Page 5 and 6: Dedication This book is dedicated t
- Page 7 and 8: 3.7 The performance of two- and sin
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- Page 11 and 12: Volume 2: Solid and structural mech
- Page 13 and 14: xiv Preface to Volume 3 this algori
- Page 15 and 16: 2 Introduction and the equations of
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40 Convection dominated problems An
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42 Convection dominated problems U
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44 Convection dominated problems (a
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46 Convection dominated problems sp
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48 Convection dominated problems ag
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50 Convection dominated problems To
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52 Convection dominated problems C
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54 Convection dominated problems Th
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56 Convection dominated problems an
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58 Convection dominated problems Th
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60 Convection dominated problems Ma
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62 Convection dominated problems 47
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3 A general algorithm for compressi
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66 A general algorithm for compress
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68 A general algorithm for compress
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70 A general algorithm for compress
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72 A general algorithm for compress
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74 A general algorithm for compress
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76 A general algorithm for compress
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78 A general algorithm for compress
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80 A general algorithm for compress
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82 A general algorithm for compress
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84 A general algorithm for compress
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86 A general algorithm for compress
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88 A general algorithm for compress
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90 A general algorithm for compress
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92 Incompressible laminar ¯ow Cons
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94 Incompressible laminar ¯ow and,
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96 Incompressible laminar ¯ow V/V
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98 Incompressible laminar ¯ow The
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100 Incompressible laminar ¯ow 1.5
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102 Incompressible laminar ¯ow p 1
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104 Incompressible laminar ¯ow �
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106 Incompressible laminar ¯ow x 2
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108 Incompressible laminar ¯ow Thi
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110 Incompressible laminar ¯ow 4.5
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112 Incompressible laminar ¯ow 4.5
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114 Incompressible laminar ¯ow (a)
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116 Incompressible laminar ¯ow (b)
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118 Incompressible laminar ¯ow wit
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120 Incompressible laminar ¯ow The
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122 Incompressible laminar ¯ow Fig
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124 Incompressible laminar ¯ow and
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126 Incompressible laminar ¯ow U U
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128 Incompressible laminar ¯ow C L
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130 Incompressible laminar ¯ow are
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132 Incompressible laminar ¯ow sha
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134 Incompressible laminar ¯ow Fig
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136 Incompressible laminar ¯ow 28.
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138 Incompressible laminar ¯ow 71.
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140 Incompressible laminar ¯ow 114
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142 Incompressible laminar ¯ow 153
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144 Free surfaces, buoyancy and tur
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146 Free surfaces, buoyancy and tur
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148 Free surfaces, buoyancy and tur
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150 Free surfaces, buoyancy and tur
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152 Free surfaces, buoyancy and tur
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154 Free surfaces, buoyancy and tur
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156 Free surfaces, buoyancy and tur
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158 Free surfaces, buoyancy and tur
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160 Free surfaces, buoyancy and tur
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162 Free surfaces, buoyancy and tur
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164 Free surfaces, buoyancy and tur
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166 Free surfaces, buoyancy and tur
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168 Free surfaces, buoyancy and tur
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170 Compressible high-speed gas ¯o
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172 Compressible high-speed gas ¯o
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174 Compressible high-speed gas ¯o
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176 Compressible high-speed gas ¯o
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178 Compressible high-speed gas ¯o
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180 Compressible high-speed gas ¯o
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182 Compressible high-speed gas ¯o
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184 Compressible high-speed gas ¯o
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186 Compressible high-speed gas ¯o
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188 Compressible high-speed gas ¯o
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190 Compressible high-speed gas ¯o
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192 Compressible high-speed gas ¯o
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194 Compressible high-speed gas ¯o
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196 Compressible high-speed gas ¯o
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198 Compressible high-speed gas ¯o
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200 Compressible high-speed gas ¯o
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202 Compressible high-speed gas ¯o
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204 Compressible high-speed gas ¯o
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206 Compressible high-speed gas ¯o
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208 Compressible high-speed gas ¯o
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210 Compressible high-speed gas ¯o
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212 Compressible high-speed gas ¯o
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214 Compressible high-speed gas ¯o
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216 Compressible high-speed gas ¯o
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7 Shallow-water problems 7.1 Introd
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220 Shallow-water problems reduced
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222 Shallow-water problems Approxim
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224 Shallow-water problems These si
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226 Shallow-water problems h = 2 η
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228 Shallow-water problems Surface
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230 Shallow-water problems FL: 578
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232 Shallow-water problems B Fig. 7
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234 Shallow-water problems Time = 0
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236 Shallow-water problems Fig. 7.1
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238 Shallow-water problems where no
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240 Shallow-water problems 14. T.D.
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8 Waves Peter Bettess 8.1 Introduct
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244 Waves the familiar form where
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246 Waves of 10 nodes or thereabout
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248 Waves and the Astley wave envel
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250 Waves agreement with the analyt
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252 Waves Fig. 8.3 General wave dom
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254 Waves Relative errors (%) 10 8
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256 Waves (The indirect boundary in
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258 Waves where m is the number of
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260 Waves Fig. 17.6 of Volume 1. La
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262 Waves to using such coordinate
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264 Waves r/a 5 4 3 2 1 0 0 2 4 6 8
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266 Waves 8.16 Three-dimensional ef
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268 Waves wave elevations in shallo
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270 Waves integrals. Preliminary re
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272 Waves 39. R.J. Astley. FE mode
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9 Computer implementation of the CB
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276 Computer implementation of the
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278 Computer implementation of the
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280 Computer implementation of the
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282 Computer implementation of the
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284 Computer implementation of the
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286 Computer implementation of the
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288 Computer implementation of the
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290 Computer implementation of the
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292 Appendix A Again substituting t
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294 Appendix B As usual the domain
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296 Appendix B 5. While the piecewi
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Appendix C Edge-based ®nite elemen
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Appendix D Multigrid methods It is
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Appendix E Boundary layer±inviscid
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304 Appendix E In Fig. E.2, Cp is t
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Author index Page numbers in bold r
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Gerdes, K. 259, 264, 265, 272 Ghia,
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Nakos, D.E. 146, 165 Narayana, P.A.
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Wu, J. 67, 90; 102, 108, 112, 137;
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316 Subject index Blurring of the s
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318 Subject index Convected coordin
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320 Subject index Elements ± cont.
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322 Subject index Flows: buoyancy d
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324 Subject index Incompressible St
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326 Subject index Metals: hot, 120
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328 Subject index Prescribed tracti
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330 Subject index Shock interaction
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332 Subject index Theorem ± cont.
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334 Subject index Wave ± cont. ste