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Fluid Flows with Complex Free Surfaces 207 [FGP97] M. Fortin, R. Guénette, and R. Pierre. Numerical analysis of the modified EVSS method. Comput. Methods Appl. Mech. Engrg., 143(1–2):79– 95, 1997. [Gie82] H. Giesekus. A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility. J. Non- Newtonian Fluid Mech., 11(1–2):69–109, 1982. [Glo03] R. Glowinski. Finite element methods for incompressible viscous flow. In P. G. Ciarlet and J.-L. Lions, editors, Handbook of Numerical Analysis, Vol. IX, pages 3–1176. North-Holland, Amsterdam, 2003. [GLP03] E. Grande, M. Laso, and M. Picasso. Calculation of variable-topology free surface flows using CONNFFESSIT. J. Non-Newtonian Fluid Mech., 113(2):123–145, 2003. [Mar90] G. I. Marchuk. Splitting and alternating direction methods. In P. G. Ciarlet and J.-L. Lions, editors, Handbook of Numerical Analysis, Vol. I, pages 197–462. North-Holland, Amsterdam, 1990. [Mau96] B. Maury. Characteristics ALE method for the 3D Navier-Stokes equations with a free surface. Int. J. Comput. Fluid Dyn., 6:175–188, 1996. [MPR99] V. Maronnier, M. Picasso, and J. Rappaz. Numerical simulation of free surface flows. J. Comput. Phys., 155:439–455, 1999. [MPR03] V. Maronnier, M. Picasso, and J. Rappaz. Numerical simulation of three dimensional free surface flows. Internat. J. Numer. Methods Fluids, [MS02] 42(7):697–716, 2003. G. H. McKinley and T. Sridhar. Filament-stretching rheometry of complex fluids. Ann. Rev. Fluid Mech., 34:375–415, 2002. [NW76] W. F. Noh and P. Woodward. SLIC (Simple Line Interface Calculation). In A. I. van de Vooren and P. J. Zandbergen, editors, Proc.ofthe 5th International Conference on Numerical Methods in Fluid Dynamics (Enschede, 1976), volume 59 of Lectures Notes in Physics, pages 330–340, Springer-Verlag, Berlin, 1976. [OF01] S. Osher and R. P. Fedkiw. Level set methods: An overview and some recent results. J. Comput. Phys., 169:463–502, 2001. [Old50] J. G. Oldroyd. On the formulation of rheological equations of state. [Pir89] [PR01] [PTT77] [RDG + 00] [RH99] Proc. Roy. Soc. London. Ser. A., 200(1063):523–541, 1950. O. Pironneau. Finite Element Methods for Fluids. Wiley, Chichester, 1989. M. Picasso and J. Rappaz. Existence, a priori and a posteriori error estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows. M2AN Math. Model. Numer. Anal., 35(5):879–897, 2001. N. Phan-Thien and R.I. Tanner. A new constitutive equation derived from network theory. J. Non-Newtonian Fluid Mech., 2(4):353–365, 1977. M. Rappaz, J. L. Desbiolles, C. A. Gandin, S. Henry, A. Semoroz, and P. Thevoz. Modelling of solidification microstructures. Mater. Sci. Forum, 329(3):389–396, 2000. H. K. Rasmussen and O. Hassager. Three-dimensional simulations of viscoelastic instability in polymeric filaments. J. Non-Newtonian Fluid Mech., 82:189–202, 1999. [RK98] W. J. Rider and D. B. Kothe. Reconstructing volume tracking. J. Comput. Phys., 141:112–152, 1998.
208 A. Bonito et al. [Set96] J. A. Sethian. Level Set Methods, Evolving Interfaces in Geometry, Fluid Mechanics, Computer Vision, and Material Science. Monographs on Applied and Computational Mathematics. Cambridge University Press, 1996. [SW04] M. Shashkov and B. Wendroff. The repair paradigm and application to conservation laws. J. Comput. Phys., 198(1):265–277, 2004. [SZ99] R. Scardovelli and S. Zaleski. Direct numerical simulation of free surface and interfacial flows. Ann. Rev. Fluid Mech., 31:567–603, 1999. [TMC + 02] M. F. Tomé, N. Mangiavacchi, J. A. Cuminato, A. Castelo, and S. McKee. A finite difference technique for simulating unsteady viscoelastic free surface flows. J. Non-Newtonian Fluid Mech., 106:61–106, 2002. [War72] H. R. Warner. Kinetic theory and rheology of dilute suspensions of finitely extendible dumbbells. Ind. Eng. Chem. Fund., 11:379–387, 1972. [WKP99] M. W. Williams, D. B. Kothe, and E. G. Puckett. Accuracy and convergence of continuum surface tension models. In Fluid Dynamics at Interfaces (Gainesville, FL, 1998), pages 294–305. Cambridge University Press, 1999.
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Partial Differential Equations
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Partial Differential Equations Mode
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Dedicated to Olivier Pironneau
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VIII Preface computers has been at
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Contents List of Contributors .....
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List of Contributors Yves Achdou UF
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List of Contributors XV Claude Le B
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Discontinuous Galerkin Methods Vive
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Discontinuous Galerkin Methods 5 2
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Discontinuous Galerkin Methods 7 g
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Discontinuous Galerkin Methods 9 (
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Discontinuous Galerkin Methods 15 W
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Let a h and b h denote the bilinear
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Discontinuous Galerkin Methods 19 t
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Discontinuous Galerkin Methods 21 l
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Table 1. Primal DG for transport Di
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Discontinuous Galerkin Methods 25 [
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Mixed Finite Element Methods on Pol
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Mixed FE Methods on Polyhedral Mesh
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4 Hybridization and Condensation Mi
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is symmetric and positive definite,
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with some coefficient α ∈ R wher
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44 E.J. Dean and R. Glowinski so fa
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46 E.J. Dean and R. Glowinski 2 A L
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48 E.J. Dean and R. Glowinski S:T=
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50 E.J. Dean and R. Glowinski minim
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52 E.J. Dean and R. Glowinski 6 On
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54 E.J. Dean and R. Glowinski Fig.
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56 E.J. Dean and R. Glowinski and
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58 E.J. Dean and R. Glowinski 7 Num
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60 E.J. Dean and R. Glowinski Fig.
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62 E.J. Dean and R. Glowinski Assum
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Higher Order Time Stepping for Seco
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u n+1 h Optimal Higher Order Time D
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Optimal Higher Order Time Discretiz
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96 I. Sazonov et al. To provide a p
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98 I. Sazonov et al. In the first s
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100 I. Sazonov et al. Fig. 1. An ex
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102 I. Sazonov et al. H z 1 exact F
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104 I. Sazonov et al. (a) (b) Fig.
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106 I. Sazonov et al. Scattering Wi
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108 I. Sazonov et al. 6.4 Scatterin
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110 I. Sazonov et al. (a) (b) Fig.
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112 I. Sazonov et al. [MHP96] K. Mo
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114 R. Sanders and A.M. Tesdall I R
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116 R. Sanders and A.M. Tesdall imp
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118 R. Sanders and A.M. Tesdall alo
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120 R. Sanders and A.M. Tesdall (a)
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122 R. Sanders and A.M. Tesdall D C
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124 R. Sanders and A.M. Tesdall 8.6
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126 R. Sanders and A.M. Tesdall 0.3
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128 R. Sanders and A.M. Tesdall [TR
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132 S. Lapin et al. Ω R γ Ω 2 Γ
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134 S. Lapin et al. ∫ ∂ 2 ∫
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136 S. Lapin et al. Ω R γ Fig. 3.
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138 S. Lapin et al. 4 Energy Inequa
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140 S. Lapin et al. 5 Numerical Exp
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142 S. Lapin et al. Fig. 6. Contour
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144 S. Lapin et al. Fig. 9. Obstacl
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Domain Decomposition and Electronic
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Domain Decomposition Approach for C
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Domain Decomposition Approach for C
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Calibration of Lévy Processes with
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We have proved Calibration of Lévy
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Note that p ∗ satisfies Calibrati
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280 S. Ikonen and J. Toivanen the p
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282 S. Ikonen and J. Toivanen Merto
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284 S. Ikonen and J. Toivanen For H
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286 S. Ikonen and J. Toivanen and {
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288 S. Ikonen and J. Toivanen 1.6 1
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290 S. Ikonen and J. Toivanen 8 Con
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292 S. Ikonen and J. Toivanen [Mer7
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