| In this paper,we mainly discuss the finite element approximation for singular pertur-bation problem of Darcy-Stokes. Firstly we present some basic results for resolving the problem, then construct three elements and give their error analysis, including the non-conforming triangular element, nonconforming rectangular element as well as the cubic element, prove their stability and convergence for the problem, and give the finite element error estimates. At last, we give a summery of this paper. |