Geodesic
$V$-cycle multi-grid method of viscoelastic fluid flow obeying an Oldroyd-B-type constitutive law
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 1, pp. 83-94

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For the time-dependent viscoelastic fluid flow obeying an Oldroyd B type constitutive law in three dimensional domains, we put forward a $V$-cycle multi-grid method. At the same time, we discuss existence, uniqueness and error estimates of the approximate solution. The approximate stress, velocity and pressure are, respectively, $\sigma_k$ discontinuous, $u_k$ continuous, $p_k$ continuous. 
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     author = {Zuliang Lu and Hongwei Zhang},
     title = {$V$-cycle multi-grid method of viscoelastic fluid flow obeying an {Oldroyd-B-type} constitutive law},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2008_11_1_a6/}
}
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Zuliang Lu; Hongwei Zhang. $V$-cycle multi-grid method of viscoelastic fluid flow obeying an Oldroyd-B-type constitutive law. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 1, pp. 83-94. http://geodesic.mathdoc.fr/item/SJVM_2008_11_1_a6/