A unified stabilized mixed finite element method for coupling Stokes and Darcy flows

作者：Rui Hongxing^*; Zhang Ran

来源：Computer Methods in Applied Mechanics and Engineering, 2009, 198(33-36): 2692-2699.

DOI：10.1016/j.cma.2009.03.011

• Coupled Stokes and Darcy flows
• Mixed finite element
• Stabilized method
• Crouzeix-Raviart element

A stabilized mixed finite element method for solving the coupled Stokes and Darcy flows problem is formulated and analyzed. The approach utilizes the same nonconforming Crouzeix-Raviart element discretization on the entire domain. A discrete inf-sup condition and an optimal a priori error estimate are derived. Finally, some numerical examples verifying the theoretical predictions are presented.

• 出版日期2009
• 单位山东大学