Geodesic
Finite element approximation of viscoelastic flow in a moving domain
Electronic transactions on numerical analysis, Tome 41 (2014), pp. 306-327.

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Summary: In this work the problem of a viscoelastic fluid flow in a movable domain is considered. A numerical approximation scheme is developed based on the Arbitrary Lagrangian-Eulerian (ALE) formulation of the flow equations. The spatial discretization is accomplished by the finite element method, and the discontinuous Galerkin method is used for stress approximation. Both first and second order time-stepping schemes satisfying the geometric conservation law (GCL) are derived and analyzed, and numerical experiments that support the theoretical results are presented.
Classification : 65M60, 65M12
Keywords: viscoelastic fluid flow, moving boundary, finite elements, fluid-structure interaction 
@article{ETNA_2014__41__a9,
     author = {Howell, Jason and Lee, Hyesuk and Xu, Shuhan},
     title = {Finite element approximation of viscoelastic flow in a moving domain},
     journal = {Electronic transactions on numerical analysis},
     pages = {306--327},
     publisher = {mathdoc},
     volume = {41},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2014__41__a9/}
}
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Howell, Jason; Lee, Hyesuk; Xu, Shuhan. Finite element approximation of viscoelastic flow in a moving domain. Electronic transactions on numerical analysis, Tome 41 (2014), pp. 306-327. http://geodesic.mathdoc.fr/item/ETNA_2014__41__a9/