A partitioned scheme with multiple-time-step technique for the nonstationary dual-porosity-Stokes problem

In this paper, we develop a partitioned scheme with multiple-time-step technique for the nonstationary dual-porosity-Stokes model. The proposed partitioned scheme allows different time steps in the different subdomains of the dual-porosity-Stokes model: conduits/macrofractures, microfractures, and matrix. Under a time step restriction which depends on the physical parameters of the model, we derived the stability of the partitioned scheme. The error estimates of this scheme are also provided. The numerical experiments confirm the theoretical analysis and demonstrate the proposed scheme is reliable, applicable, and consumes less CPU time.