Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow
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A time-dependent model corresponding to an Oldroyd-B viscoelastic fluid is considered, the convective terms being disregarded. Global existence in time is proved in Banach spaces provided the data are small enough, using the implicit function theorem and a maximum regularity property for a three fields Stokes problem. A finite element discretization in space is then proposed. Existence of the numerical solution is proved for small data, so as a priori error estimates, using again an implicit function theorem. 2007 Springer-Verlag.
author list (cited authors)
Bonito, A., Clment, P., & Picasso, M.
complete list of authors
Bonito, Andrea||Clément, Philippe||Picasso, Marco