Funding: This work was supported by the Natural Science Foundation of Hunan Province (No. 2022JJ20032), the Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions (No. 2022KJ249), and the National Natural Science Foundation of China (No. 12172202).

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ABSTRACT

In this paper, we propose and investigate a two-grid stabilized finite element method for the mixed dual-permeability-Stokes fluid flow model with Beavers-Joseph interface condition. First, a stabilized finite element scheme for the coupled dual-permeability-Stokes problem is addressed on a coarse grid. Subsequently, on a fine grid, we first solve the matrix and microfracture subproblems via approximating the interface terms by the coarse-grid approximation, and then the Stokes subproblem. The optimal error estimates are established, and a series of numerical experiments are presented to illustrate the effectiveness, efficiency, and robustness of the proposed algorithm.

Conflicts of Interest

The authors declare no conflicts of interest.

Open Research

Data Availability Statement

The authors have nothing to report.

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Volume41, Issue4

July 2025

e70014

Two-Grid Finite Element Method for the Stabilization of Mixed Dual-Permeability-Stokes Model With Beavers-Joseph Interface Condition

ABSTRACT

Conflicts of Interest

Open Research

Data Availability Statement

References

References

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Two-Grid Finite Element Method for the Stabilization of Mixed Dual-Permeability-Stokes Model With Beavers-Joseph Interface Condition

ABSTRACT

Conflicts of Interest

Open Research

Data Availability Statement

References

References

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