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Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data

Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data

Abstract In this paper, a backward Euler method combined with finite element discretization in spatial direction is discussed for the equations of motion arising in the two-dimensional Oldroyd model of viscoelastic fluids of order one with the forcing term independent of time or in $L^{\infty }$ in time. It is …