A Mixed and Nonconforming FEM with Nonmatching Meshes for a Coupled Stokes-Darcy Model

作者：Huang, Peiqi; Chen, Jinru^*; Cai, Mingchao

来源：Journal of Scientific Computing, 2012, 53(2): 377-394.

DOI：10.1007/s10915-012-9574-y

• Lagrange multiplier
• Mixed and nonconforming element
• Inf-sup condition
• Stokes equations
• Darcy's law
• Error estimates
• Nonmatching meshes

In this paper, we study numerical methods for a coupled Stokes-Darcy model. This model is composed by Stokes equations in the fluid domain and Darcy's law in the porous media domain, coupling together through certain interface conditions. By introducing a Lagrange multiplier, the coupled model is formed into a saddle point problem. A nonconforming mixed finite element method with nonmatching meshes is proposed to solve this coupled problem. The well-posedness of the discrete problem is proved. Moreover, we derive the a priori error estimates of the proposed finite element method. Numerical examples are also given to confirm the theoretical results.

• 出版日期2012-11
• 单位南京师范大学; 南京林业大学