Nakos, D.E. 146, 165 Narayana, P.A.A. 67, 88; 102, 109, 110, 137; 155, 166 NaÈ vert, V. 29, 34, 61 Navon, I.M. 223, 239, 240 Newton, R.E. 243, 253, 270 Nguen, N. 34, 61 Nichols, B.D. 148, 165 Nickell, R.E. 120, 139 Nicolaides, R.A. 189, 216 Nield, D.A. 157, 166 Nithiarasu, P. 28, 34, 41, 61, 62; 67, 77, 78, 88, 89, 90; 97, 99, 102, 110, 134, 135, 137; 154, 155, 159, 161, 166, 167; 176, 185, 186, 187, 198, 199, 200, 202, 203, 215, 216; 280, 289, 289, 290 Noble, R. 191, 216 Noblesse, F. 146, 165 Nonino, C. 155, 166 O'Brien, J.J. 223, 239 O'Carroll, M.J. 96, 134 Oden, J.T. 26, 60; 102, 103, 116, 120, 124, 135, 136, 137, 138, 139; 171, 181, 214, 215 Oh, S.I. 120, 140 Ohmiya, K. 67, 88 Oliger, J. 102, 135 OnÄ ate, E. 25, 30, 34, 60, 61; 120, 124, 129, 130, 139, 140, 141; 147, 148, 165; 289, 290 Ortiz, P. 67, 89; 97, 134; 198, 199, 200, 216; 224, 226, 227, 241 Pagano, A. 211, 217 Paisley, M.F. 174, 214 Palit, K. 120, 139 Palmeiro, B. 102, 136 Palmeiro, P. 102, 135 Papanastasiou, T.C. 82, 90 Pastor, M. 67, 89; 108, 132, 137, 138, 142; 159, 166 Patil, B.S. 244, 270 Patnaik, B.S.V.P. 67, 88 Patrick, M.A. 164, 168 Peiro, J. 57, 63; 102, 135, 136; 169, 174, 175, 182, 189, 194, 213, 215, 216 Pelletier, D.H. 102, 113, 136 Peraire, J. 38, 46, 57, 61, 62, 63; 67, 82, 90; 102, 105, 108, 135, 136, 137; 169, 174, 175, 182, 183, 184, 187, 188, 189, 190, 194, 207, 208, 212, 213, 214, 215, 216; 222, 223, 224, 226, 239, 240, 241; 246, 270 Periaux, J. 102, 135; 189, 216 Perrier, P. 189, 216 Pironneau, O. 38, 62 PitkaÈ ranta, J. 29, 34, 61; 81, 90 Pittman, J.F. 26, 60 Pittman, J.F.T. 120, 124, 139, 140 Posse, M. 38, 62 Postek, E. 120, 140 Prasad, V. 159, 167 Price, J.W.H. 120, 139 Probert, E.J. 102, 108, 136, 137; 169, 195, 196, 206, 207, 208, 214, 216 P<strong>ru</strong>dhomme, S. 102, 137 Quatrapelle, L. 52, 63; 67, 87 Rachowicz, W. 102, 103, 136, 137; 171, 214 Raithby, G.D. 67, 87 Raj, K.H. 120, 140 Ramaswamy, B. 67, 77, 88; 155, 166 Rannacher, R. 67, 88 Raveendra, V.V.S. 109, 138 Raven, H. 146, 165 Ravindran, K. 148, 159, 165, 167 Ravisanker, M.S. 67, 88; 161, 167 Rebelo, N. 120, 139 Rees, M. 17, 59 Reinhart, L. 38, 62 Ren, G. 67, 88 Reynen, J. 34, 61 Rice, J.G. 67, 88 Richez, M.C. 223, 239 Richtmyer, R.D. 174, 214 Rivara, M.C. 189, 216 Roach P.J. 4, 12 Rogallo, R. 161, 167, 168 Rojek, J. 67, 89; 120, 132, 140, 142 Rubio, C. 108, 138 Runchall, A.K. 17, 59 Russell, T.F. 38, 62 Sacco, C. 147, 165; 289, 290 Sa€man, P. 161, 167 Sai, B.V.K.S. 28, 34, 61; 67, 75, 81, 88, 89; 99, 135; 155, 161, 162, 166, 167; 176, 185, 186, 187, 215; 289, 290 Said, R. 169, 189, 214 Sakhib, F. 28, 24, 60, 61; 176, 215 Saltel, E. 102, 109, 110, 137 Sani, R.L. 118, 139 Sarpkaya, T. 96, 134 Sastri, V. 38, 62 Scavounos, Pd. 146, 165 SchaÈ fer, U. 148, 165 Schlichting H. 4, 12 Schmidt, W. 174, 215 Schmitt, V. 209, 211, 216 Schneider, G.E. 67, 87 Schnipke, R.J. 67, 88 Schoombie, S.W. 268, 273 Schre¯er, B.A. 159, 166 Author index 311
312 Author index Schreurs, P.J.G. 128, 141 Schroeder, W.J. 109, 138 Scott, V.H. 22, 60 Seetharamu, K.N. 67, 77, 88; 102, 109, 110, 137; 154, 155, 159, 161, 166, 167; 289, 290 Selmin, V. 52, 63 Shephard, M.S. 109, 138 Shimizaki, Y. 120, 139 Shimura, M 67, 88 Shin, C.T. 97, 98, 112, 134 Shiomi, T. 159, 166 Shirron, J.J. 265, 272 Sibson, R. 109, 138 Sinha, S.K. 289, 290 Smolinski, P. 24, 60 Sod, G. 177, 215 Soding, H. 146, 165 Soni, B.K. 109, 138 Sosnowski, W. 130, 141 Spalding, D.B. 17, 59; 161, 167 Squire, H.B. 211, 217 Srinivas, M. 67, 88; 161, 167 SSC Program Ltd. 191, 216 Stagg, K.G. 219, 239 Staniforth, A.N. 223, 240 Steger, J.L. 174, 215 Stewart, J.R. 169, 187, 188, 213 Storti, M.A. 34, 61 Stou‚et, B. 189, 216 Strada, M. 155, 166 Strouboulis, T. 102, 135; 244, 270 Subramanian, G. 109, 138 Sugawara, T. 266, 267, 273 Sujatha, K.S. 159, 167 Suli, E. 38, 62 Sundararajan, T. 67, 77, 88; 102, 109, 110, 120, 137, 140; 154, 155, 159, 161, 166, 167; 289, 290 Swith, I. 274, 289 Szepessy, A. 28, 34, 61; 176, 215 Szmelter, J. 67, 82, 90; 102, 113, 136; 211, 217 Takeuchi, N. 223, 240 Tam, A. 102, 137 Tam, Z. 270, 273 Tamaddonjahromi, H.R. 132, 142 Tanner, R.I. 120, 139 <strong>Taylor</strong>, C. 161, 167; 223, 240; 244, 270 <strong>Taylor</strong>, R.L. 67, 89; 116, 132, 138, 142; 274, 289 Temam, R. 4, 12 Tezduyar, T.T.I. 38, 62; 178, 215; 223, 241 Thareja, R.R. 102, 108, 136; 169, 187, 188, 213 Thomas, H.R. 289, 290 Thompson, E.G. 120, 139 Thompson, J.F. 109, 138 Thompson, L.L. 265, 273 Tien, C.L. 159, 166 Townsend, P. 132, 142 Toyoshima, S. 116, 126, 138, 141 Tremayne, D. 191, 216 Trottenberg, U. 189, 216 Tsubota, K. 224, 241 Turkel, E. 250, 253, 271 Turner-Smith, E.A. 169, 214 Upson, C.D. 67, 87 Usmani, A.S. 109, 138; 289, 290 Utnes, T. 67, 88 Vadyak, J. 174, 214 Vafai, K. 159, 166 Vahdati, M. 102, 105, 108, 109, 135; 169, 182, 183, 184, 213 Vallet, M.G. 102, 137 van der Lugt, J. 128, 141 Vazquez, C. 38, 62 Va zquez, M. 28, 34, 41, 61, 62; 67, 77, 81, 89, 90; 97, 98, 99, 134, 135; 176, 185, 186, 187, 198, 199, 200, 215, 216 Veldpaus, F.E. 128, 141 Verhoeven, N.A. 169, 189, 214 Vilotte, J.P. 108, 116, 138 von Neumann, J. 174, 214 Walters, K. 132, 142 Wang, H.H. 223, 240 Wang, N.M. 130, 141 Ward, S. 198, 216 Wargedipura, A.H.S. 130, 141 Watson, D.F. 109, 138 Weatherill, N.P. 34, 57, 61, 63; 102, 108, 109, 136, 137, 138; 164, 168; 169, 189, 191, 192, 193, 197, 206, 208, 209, 211, 214, 216; 246, 247, 271 Webster, M.F. 132, 142 Weeks, D.J. 210, 216 Wehausen, J.V. 146, 165 Wendro€, B. 43, 48, 62 Westermann, T.A. 102, 103, 136 Wheeler, M.F. 223, 241 Whitham, G.B. 242, 243, 268, 270 Wieting, A.R. 169, 187, 188, 213 Wi®, A.S. 130, 141 Wille , D.R. 274, 289 Williams, R.T. 218, 223, 239, 240 Wolfstein, M. 17, 59; 161, 163, 167 Wong, K.K. 270, 273 Wood, R.D. 120, 130, 140, 141 Wood, R.W. 130, 141 Woodward, E. 223, 240 Woodward, P. 179, 180, 215 Wray, A. 161, 167
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The Finite Element Method Fifth edi
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The Finite Element Method Fifth edi
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Dedication This book is dedicated t
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3.7 The performance of two- and sin
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Volume 2: Solid and structural mech
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xiv Preface to Volume 3 this algori
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2 Introduction and the equations of
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4 Introduction and the equations of
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8 Introduction and the equations of
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14 Convection dominated problems We
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66 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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76 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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138 Incompressible laminar ¯ow 71.
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140 Incompressible laminar ¯ow 114
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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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186 Compressible high-speed gas ¯o
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216 Compressible high-speed gas ¯o
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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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- Page 305 and 306: 292 Appendix A Again substituting t
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- Page 329 and 330: 316 Subject index Blurring of the s
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