Stabilized Crouzeix–Raviart element for Darcy–Forchheimer model

In this article, a stabilized mixed finite element method for steady Darcy–Forchheimer flow is introduced, in which the velocity and pressure are approximated by nonconforming Crouzeix–Raviart element and piecewise constant, respectively. A discrete inf‐sup condition and a priori error estimates are derived. An iterative scheme is given for practical computation. Finally, some numerical examples are carried out to verify the theoretical analysis and a comparison between two discretizations is given to demonstrate that one of the discretizations has better properties. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 1568–1588, 2015