A Rectangular Mixed Finite Element Method with a Continuous Flux for an Elliptic Equation Modelling Darcy Flow

Xindong Li, Hongxing Rui
2013 Abstract and Applied Analysis  
We introduce a mixed finite element method for an elliptic equation modelling Darcy flow in porous media. We use a staggered mesh where the two components of the velocity and the pressure are defined on three different sets of grid nodes. In the present mixed finite element, the approximate velocity is continuous and the conservation law still holds locally. The LBB consistent condition is established, while the L2 error estimates are obtained for both the velocity and the pressure. Numerical
more » ... essure. Numerical examples are presented to confirm the theoretical analysis.
doi:10.1155/2013/580461 fatcat:ggzkexf6qjearasimikjqjwb2m