Optimal error estimates of both coupled and two-grid decoupled methods for a mixed Stokes–Stokes model

摘要: Abstract In this paper, we provide a coupled algorithm and two-grid decoupled for mixed Stokes–Stokes model, which is by nonlinear interface transmission condition. The to discretize the model directly standard finite element method. For algorithm, first solve on coarse grid, update solution fine grid two separated Stokes problems. Under hypothesis about regularity of analytical solutions, optimal error estimates algorithms are achieved. Several numerical tests given verify our theoretical results.