@article{M2AN_2000__34_5_1051_0, author = {Ming, Pingbing and Shi, Zhong-Ci}, title = {Dual combined finite element methods for non-newtonian flow {(II).} {Parameter-dependent} problem}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {1051--1067}, publisher = {Dunod}, address = {Paris}, volume = {34}, number = {5}, year = {2000}, mrnumber = {1837767}, zbl = {1072.76567}, language = {en}, url = {http://www.numdam.org/item/M2AN_2000__34_5_1051_0/} }
TY - JOUR AU - Ming, Pingbing AU - Shi, Zhong-Ci TI - Dual combined finite element methods for non-newtonian flow (II). Parameter-dependent problem JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2000 SP - 1051 EP - 1067 VL - 34 IS - 5 PB - Dunod PP - Paris UR - http://www.numdam.org/item/M2AN_2000__34_5_1051_0/ LA - en ID - M2AN_2000__34_5_1051_0 ER -
%0 Journal Article %A Ming, Pingbing %A Shi, Zhong-Ci %T Dual combined finite element methods for non-newtonian flow (II). Parameter-dependent problem %J ESAIM: Modélisation mathématique et analyse numérique %D 2000 %P 1051-1067 %V 34 %N 5 %I Dunod %C Paris %U http://www.numdam.org/item/M2AN_2000__34_5_1051_0/ %G en %F M2AN_2000__34_5_1051_0
Ming, Pingbing; Shi, Zhong-Ci. Dual combined finite element methods for non-newtonian flow (II). Parameter-dependent problem. ESAIM: Modélisation mathématique et analyse numérique, Tome 34 (2000) no. 5, pp. 1051-1067. http://www.numdam.org/item/M2AN_2000__34_5_1051_0/
[1] Sobolev Space. Academic Press, New York (1975). | MR | Zbl
,[2] Propriétés fonctionnelles d'opérateurs. Application au problème de stokes en dimension qualconque. Publications du Laboratoire d'Analyse Numérique, No 90025, Université Piere et Marie Curie, Paris, France (1990).
and ,[3] Some new elements for the Reissner-Mindlin plate model, Boundary Value Problems for Partial Differential Equations, edited by C. Baiocchi and J.L. Lions Masson, Paris (1992) 287-292. | MR | Zbl
and ,[4] Numerical analysis of a three-field model for a Quasi-Newtonian flow. Comput. Methods Appl. Mech. Engrg. 109 (1993) 281-292. | MR | Zbl
, and ,[5] Quasi-norm error bounds for the finite element approximation of a Non-Newtonian flow. Numer. Math. 61 (1994) 437-456. | MR | Zbl
and ,[6] Stability of higher-order Hood-Taylor methods, SIAM J. Numer. Anal. 28 (1991) 581-590. | MR | Zbl
and ,[7] Mixed and Hybrid Methods. Springer-Verlags, New York (1991). | MR
and ,[8] The Finite Element Method for Elliptic Problem. North Holland, Amsterdam (1978). | MR | Zbl
,[9] Numerical Simulations of Non-Newtonian Flow. Elsevier, Amsterdam, Rheology Series 1 (1984). | MR | Zbl
, and ,[10] Conforming and nonconforming finite element methods for solving the stationary stokes equations. RAIRO Anal. Numér. 3 (1973) 33-75. | Numdam | Zbl
and ,[11] Old and new finite elements for incompressible flows. Internat J. Numer. Methods Fluids 1 (1981) 347-364. | MR | Zbl
,[12] Numerical analysis of the modified EVSS method. Comput. Methods Appl. Mech. Engrg. 143 (1997) 79-95. | MR | Zbl
, and ,[13] On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows. Comput. Methods Appl. Mech. Engrg. 73 (1989) 341-350. | MR | Zbl
and ,[14] Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms. Springer-Verlag, Berlin-New York (1986). | MR | Zbl
and ,[15] A numerical solution of the Navier-Stokes equation using the finite element technique. Comput. and Fluids 1 (1973) 73-100. | MR | Zbl
and ,[16] Finite element analysis of nonlinear creeping flows. Comput. Methods Appl. Mech. Engrg. 79 (1990) 89-109. | MR | Zbl
and ,[17] Weak and Measure-valued Solution to Evolutionary Partial Differential Equations. Chapman & Hall (1996). | Zbl
and ,[18] Dual combined finite element methods for Non-Newtonian flow (I) Nonlinear Stabilized Methods (1998 Preprint).
and ,[19] A technique for the analysis of B-B inequality for non-Newtonian flow (1998 Preprint). | MR
and ,[20] Analyse d'une formulation à trois champs du problème de Stokes. RAIRO Modél. Math. Math. Anal. Numér. 27 (1993) 817-841. | Numdam | MR | Zbl
,[21] Sur l'approximation numérique des écoulements quasi-newtoniens dont la viscoélastiques suit la Loi Puissance ou le modèle de Carreau. RAIRO-Modèl. Math. Anal. Numér. 27 (1993) 131-155. | Numdam | MR | Zbl
,[22] A posteriori estimators for mixed finite element approximation of a fluid obeying the power law. Comput. Meths Appl. Mech. Engrg. 166 (1998) 329-340. | MR | Zbl
,[23] Mixed h - p finite element methods for Stokes and non-Newtonian Flow. Research report No 97-19, Seminar für Angewandte Mathematik, ETH Zürich (1997). | Zbl
and ,[24] Finite Element Analysis. John & Sons, Inc. (1991). | MR | Zbl
and ,[25] Stabilized finite element methods for a model parameter-dependent problem, in Proc of the Second Conference on Numerical Methods for P.D.E., edited by Longan Ying and Benyu Guo World Scientific, Singapore (1991) 192-194. | MR
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