Weak Galerkin method for the coupled Darcy-Stokes flow

2014/07/21 by Wenbin Chen, Fang Wang, Chen, Wenbin +3 · 1 citation
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1407.5604

openalex publication_date 2014/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A family of weak Galerkin finite element discretization is developed for solving the coupled Darcy-Stokes equation. The equation in consideration admits the Beaver-Joseph-Saffman condition on the interface. By using the weak Galerkin approach, in the discrete space we are able to impose the normal continuity of velocity explicitly. Or in other words, strong coupling is achieved in the discrete space. Different choices of weak Galerkin finite element spaces are discussed, and error estimates are given.

Citations

• Weak Galerkin Finite Element Methods on Polytopal Meshes
• On the Boundary Condition at the Surface of a Porous Medium

Cited by

• The Weak Galerkin and Crouzeix-Raviart element method for elastic eigenvalue problems

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