@article{M2AN_2000__34_1_183_0,
author = {Guermond, Jean-Luc and Quartapelle, Luigi and Zhu, Jiang},
title = {On a {2D} vector {Poisson} problem with apparently mutually exclusive scalar boundary conditions},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
pages = {183--200},
publisher = {Dunod},
address = {Paris},
volume = {34},
number = {1},
year = {2000},
zbl = {0949.65116},
mrnumber = {1735970},
language = {en},
url = {http://archive.numdam.org/item/M2AN_2000__34_1_183_0/}
}
TY - JOUR AU - Guermond, Jean-Luc AU - Quartapelle, Luigi AU - Zhu, Jiang TI - On a 2D vector Poisson problem with apparently mutually exclusive scalar boundary conditions JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique PY - 2000 DA - 2000/// SP - 183 EP - 200 VL - 34 IS - 1 PB - Dunod PP - Paris UR - http://archive.numdam.org/item/M2AN_2000__34_1_183_0/ UR - https://zbmath.org/?q=an%3A0949.65116 UR - https://www.ams.org/mathscinet-getitem?mr=1735970 LA - en ID - M2AN_2000__34_1_183_0 ER -
Guermond, Jean-Luc; Quartapelle, Luigi; Zhu, Jiang. On a 2D vector Poisson problem with apparently mutually exclusive scalar boundary conditions. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 34 (2000) no. 1, pp. 183-200. http://archive.numdam.org/item/M2AN_2000__34_1_183_0/
[1] , and , Tuning the mesh of a mixed method for the stream function-vorticity formulation of the Navier-Stokes equations, Numer. Math. 63 (1992) 145-163. | MR 1182970 | Zbl 0760.76041
[2] , The finite element method with Lagrange multipliers. Numer. Math. 20 (1973) 179-192. | MR 359352 | Zbl 0258.65108
[3] , Méthodes d'éléments finis mixtes pour les équations de Navier-Stokes. Thèse de 3e Cycle, Université de Paris VI, France (1979).
[4] , The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam (1978). | MR 520174 | Zbl 0383.65058
[5] and , Stream vectors in three dimensional aerodynamics. Numer. Math. 48 (1986) 561-589. | MR 839617 | Zbl 0625.76009
[6] and , Finite Element Methods for Navier-Stokes Equations. Springer Verlag, Berlin (1986). | MR 851383 | Zbl 0585.65077
[7] and , Numerical methods for the first biharmonic equation and for the two-dimensional Stokes problem. SIAM Rev. 21 (1979) 167-212. | MR 524511 | Zbl 0427.65073
[8] and , in Efficient Solution of Elliptic Systems, Finite element approximation for a div-rot System with mixed boundary conditions in non-smooth plane domain. Notes in Numerical Fluid Mechanics, Vol. 10, W. Hachbush Ed., Vieweg Publishing, Wiesbaden, Germany (1984); see also Appl. Math. 29 (1984) 272-285. | MR 754079 | Zbl 0575.65125
[9] , Numerical Solution of the Incompressible Navier-Stokes Equations. Birkhäuser, Basel (1993). | MR 1266843 | Zbl 0784.76020
[10] and , Decoupled solution of vector Poisson equations with boundary condition coupling, in Computional Fluid Dynamics, G. de Vahl Davis and C. Fletcher Eds., Elsevier Science Publishers B.V., North-Holland (1988) 609-619.
[11] , and , Uncoupled solution of the three-dimensional vorticity-velocity equations. ZAMP 49 (1998) 384-400. | MR 1629537 | Zbl 0912.35124
[12] , and , A symmetrized velocity-vorticity formulation of the three-dimensional Stokes system. C.R. Acad. Sci. Paris Sér. IIb 323 (1996) 819-824. | Zbl 0923.76033
[13] and , An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, New York (1973). | MR 443377 | Zbl 0356.65096
[14] , and , A vector Poisson problem with coupling boundary conditions in a Lipschitz 2D domain, Research Report, Laboratório Nacional de Computação Cientifica, CNPq, N° 30 (1997).
[15] , and , Finite element solution of vector Poisson equation with a coupling boundary condition. Numer. Methods Partial Differential Eq. 16 (2000). | MR 1727582 | Zbl 0956.65103
[16] , and , Uncoupled variational formulation of a vector Poisson problem. C.R. Acad. Sci.Paris Sér. I 323 (1996) 971-976. | MR 1414568 | Zbl 0869.76069
