On a Linearized Backward Euler Method for the Equations of Motion of Oldroyd Fluids of Order One

نویسندگان

  • Amiya Kumar Pani
  • Jin Yun Yuan
  • Pedro D. Damázio
چکیده

Abstract. In this paper, a linearized backward Euler method is discussed for the equations of motion arising in the Oldroyd model of viscoelastic fluids. Some new a priori bounds are obtained for the solution under realistically assumed conditions on the data. Further, the exponential decay properties for the exact as well as the discrete solutions are established. Finally, a priori error estimates in H and L2-norms are derived for the the discrete problem which are valid uniformly for all time t > 0.

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 44  شماره 

صفحات  -

تاریخ انتشار 2006