Geodesic
The Mortar finite element method for Bingham fluids
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 35 (2001) no. 1, pp. 153-164

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This paper deals with the flow problem of a viscous plastic fluid in a cylindrical pipe. In order to approximate this problem governed by a variational inequality, we apply the nonconforming mortar finite element method. By using appropriate techniques, we are able to prove the convergence of the method and to obtain the same convergence rate as in the conforming case.

On considère le problème de l'écoulement d'un fluide visqueux plastique dans une conduite cylindrique. Afin d'approcher ce problème régi par une inéquation variationnelle, nous appliquons la méthode non conforme des éléments finis avec joints. En utilisant des techniques appropriées, on devient en mesure de prouver la convergence de la méthode avec un taux de convergence identique au cas conforme.

Classification : 65N30, 65N55, 76A05
Keywords: viscoplastic fluid, Bingham model, variational inequality, mortar finite element method, a priori error estimates 
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     author = {Hild, Patrick},
     title = {The {Mortar} finite element method for {Bingham} fluids},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {153--164},
     publisher = {EDP-Sciences},
     volume = {35},
     number = {1},
     year = {2001},
     mrnumber = {1811985},
     zbl = {0990.76042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/M2AN_2001__35_1_153_0/}
}
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Hild, Patrick. The Mortar finite element method for Bingham fluids. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 35 (2001) no. 1, pp. 153-164. http://geodesic.mathdoc.fr/item/M2AN_2001__35_1_153_0/