Partial Differential Equations - Modelling and ... - ResearchGate

More documents

Recommendations

Info

Computational Methods in Applied Sciences Volume 16 Series Editor E. Oñate International Center for Numerical Methods in Engineering (CIMNE) Technical University of Catalonia (UPC) Edificio C-1, Campus Norte UPC Gran Capitán, s/n 08034 Barcelona, Spain onate@cimne.upc.edu www.cimne.com For other titles published in this series, go to www.springer.com/series/6899
Partial Differential Equations Modeling and Numerical Simulation Edited by Roland Glowinski University of Houston, TX, USA and Pekka Neittaanmäki University of Jyväskylä, Finland 123
Page 1: Partial Differential Equations
Page 5 and 6: Dedicated to Olivier Pironneau
Page 7 and 8: VIII Preface computers has been at
Page 9 and 10: Contents List of Contributors .....
Page 11 and 12: List of Contributors Yves Achdou UF
Page 13 and 14: List of Contributors XV Claude Le B
Page 15 and 16: Discontinuous Galerkin Methods Vive
Page 17 and 18: Discontinuous Galerkin Methods 5 2
Page 19 and 20: Discontinuous Galerkin Methods 7 g
Page 21 and 22: Discontinuous Galerkin Methods 9 (
Page 27 and 28: Discontinuous Galerkin Methods 15 W
Page 29 and 30: Let a h and b h denote the bilinear
Page 31 and 32: Discontinuous Galerkin Methods 19 t
Page 33 and 34: Discontinuous Galerkin Methods 21 l
Page 35 and 36: Table 1. Primal DG for transport Di
Page 37 and 38: Discontinuous Galerkin Methods 25 [
Page 39 and 40: Mixed Finite Element Methods on Pol
Page 41 and 42: Mixed FE Methods on Polyhedral Mesh
Page 47 and 48: 4 Hybridization and Condensation Mi
Page 51 and 52: is symmetric and positive definite,
Page 53 and 54:
with some coefficient α ∈ R wher
Page 55 and 56:
44 E.J. Dean and R. Glowinski so fa
Page 57 and 58:
46 E.J. Dean and R. Glowinski 2 A L
Page 59 and 60:
48 E.J. Dean and R. Glowinski S:T=
Page 61 and 62:
50 E.J. Dean and R. Glowinski minim
Page 63 and 64:
52 E.J. Dean and R. Glowinski 6 On
Page 65 and 66:
54 E.J. Dean and R. Glowinski Fig.
Page 67 and 68:
56 E.J. Dean and R. Glowinski and
Page 69 and 70:
58 E.J. Dean and R. Glowinski 7 Num
Page 71 and 72:
60 E.J. Dean and R. Glowinski Fig.
Page 73 and 74:
62 E.J. Dean and R. Glowinski Assum
Page 75 and 76:
Higher Order Time Stepping for Seco
Page 77 and 78:
u n+1 h Optimal Higher Order Time D
Page 79 and 80:
Optimal Higher Order Time Discretiz
Page 81 and 82:
Page 83 and 84:
Page 85 and 86:
Page 87 and 88:
Page 89 and 90:
Page 91 and 92:
Page 93 and 94:
Page 95 and 96:
Page 97 and 98:
Page 99 and 100:
Page 101 and 102:
Page 103 and 104:
96 I. Sazonov et al. To provide a p
Page 105 and 106:
98 I. Sazonov et al. In the first s
Page 107 and 108:
100 I. Sazonov et al. Fig. 1. An ex
Page 109 and 110:
102 I. Sazonov et al. H z 1 exact F
Page 111 and 112:
104 I. Sazonov et al. (a) (b) Fig.
Page 113 and 114:
106 I. Sazonov et al. Scattering Wi
Page 115 and 116:
108 I. Sazonov et al. 6.4 Scatterin
Page 117 and 118:
110 I. Sazonov et al. (a) (b) Fig.
Page 119 and 120:
112 I. Sazonov et al. [MHP96] K. Mo
Page 121 and 122:
114 R. Sanders and A.M. Tesdall I R
Page 123 and 124:
116 R. Sanders and A.M. Tesdall imp
Page 125 and 126:
118 R. Sanders and A.M. Tesdall alo
Page 127 and 128:
120 R. Sanders and A.M. Tesdall (a)
Page 129 and 130:
122 R. Sanders and A.M. Tesdall D C
Page 131 and 132:
124 R. Sanders and A.M. Tesdall 8.6
Page 133 and 134:
126 R. Sanders and A.M. Tesdall 0.3
Page 135 and 136:
128 R. Sanders and A.M. Tesdall [TR
Page 137 and 138:
132 S. Lapin et al. Ω R γ Ω 2 Γ
Page 139 and 140:
134 S. Lapin et al. ∫ ∂ 2 ∫
Page 141 and 142:
136 S. Lapin et al. Ω R γ Fig. 3.
Page 143 and 144:
138 S. Lapin et al. 4 Energy Inequa
Page 145 and 146:
140 S. Lapin et al. 5 Numerical Exp
Page 147 and 148:
142 S. Lapin et al. Fig. 6. Contour
Page 149 and 150:
144 S. Lapin et al. Fig. 9. Obstacl
Page 151 and 152:
Domain Decomposition and Electronic
Page 153 and 154:
Domain Decomposition Approach for C
Page 155 and 156:
Page 157 and 158:
Page 159 and 160:
Page 161 and 162:
Page 163 and 164:
Page 165 and 166:
Page 167 and 168:
Page 169 and 170:
Numerical Analysis of a Finite Elem
Page 171 and 172:
Page 173 and 174:
Page 175 and 176:
Page 177 and 178:
Page 179 and 180:
Page 181 and 182:
so that |u| 2 1,ω h ≤ 2 Numerica
Page 183 and 184:
Page 185 and 186:
Page 187 and 188:
Page 189 and 190:
188 A. Bonito et al. of the model a
Page 191 and 192:
190 A. Bonito et al. Fig. 1. The sp
Page 193 and 194:
192 A. Bonito et al. 3 1 16 4 1 1 1
Page 195 and 196:
194 A. Bonito et al. ∫ v n+1 h
Page 197 and 198:
196 A. Bonito et al. −pn +2µD(v)
Page 199 and 200:
198 A. Bonito et al. each of its pa
Page 201 and 202:
200 A. Bonito et al. The normal vec
Page 203 and 204:
202 A. Bonito et al. with initial c
Page 205 and 206:
204 A. Bonito et al. Fig. 8. Jet bu
Page 207 and 208:
206 A. Bonito et al. References [AM
Page 209 and 210:
208 A. Bonito et al. [Set96] J. A.
Page 211 and 212:
210 J. Hao et al. due to shear flow
Page 213 and 214:
212 J. Hao et al. The backward reac
Page 215 and 216:
214 J. Hao et al. where u and p den
Page 217 and 218:
216 J. Hao et al. * * * * * * * * *
Page 219 and 220:
218 J. Hao et al. and solve for V n
Page 221 and 222:
220 J. Hao et al. Table 2. The calc
Page 223 and 224:
222 J. Hao et al. References [ASS80
Page 225 and 226:
Computing the Eigenvalues of the La
Page 227 and 228:
Eigenvalues of the Laplace-Beltrami
Page 229 and 230:
Page 231 and 232:
Page 233 and 234:
A Fixed Domain Approach in Shape Op
Page 235 and 236:
Shape Optimization Problems with Ne
Page 237 and 238:
Page 239 and 240:
Page 241 and 242:
Page 243 and 244:
Reduced-Order Modelling of Dispersi
Page 245 and 246:
Page 247 and 248:
Page 249 and 250:
Page 251 and 252:
Page 253 and 254:
Page 255 and 256:
Calibration of Lévy Processes with
Page 257 and 258:
Page 259 and 260:
Page 261 and 262:
Page 263 and 264:
We have proved Calibration of Lévy
Page 265 and 266:
Page 267 and 268:
Page 269 and 270:
Page 271 and 272:
Note that p ∗ satisfies Calibrati
Page 273 and 274:
Page 275 and 276:
280 S. Ikonen and J. Toivanen the p
Page 277 and 278:
282 S. Ikonen and J. Toivanen Merto
Page 279 and 280:
284 S. Ikonen and J. Toivanen For H
Page 281 and 282:
286 S. Ikonen and J. Toivanen and {
Page 283 and 284:
288 S. Ikonen and J. Toivanen 1.6 1
Page 285 and 286:
290 S. Ikonen and J. Toivanen 8 Con
Page 287:
292 S. Ikonen and J. Toivanen [Mer7
show all

Partial Differential Equations - Modelling and ... - ResearchGate

Create successful ePaper yourself

Delete template?

Save as template?