Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow Academic Article uri icon


  • 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.

published proceedings

  • Numerische Mathematik

author list (cited authors)

  • Bonito, A., Clment, P., & Picasso, M.

citation count

  • 21

complete list of authors

  • Bonito, Andrea||ClĂ©ment, Philippe||Picasso, Marco

publication date

  • August 2007