Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem

By Erik Burman, Peter Hansbo. 2005

117 citations recorded by the source corpus.

We stabilize the nonconforming Crouzeix‐Raviart element for the Darcy‐Stokes problem with terms motivated by a discontinuous Galerkin approach. Convergence of the method is shown, also in the limit of vanishing viscosity. Finally, some numerical examples verifying the theoretical predictions are presented. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 21, 2005.

Subfields: Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/68e83d14ebaeb7231dba0128f15d26c9e0e7ac01

Citations in the corpus

• A family of nonconforming elements for the Brinkman problem (2012, unknown): “Since curl y0 ∣ ∣ K ∈ Mk(K) and curl (bKp) ∣ ∣ K ∈ U k−1(K) we have that curl y0 ∣ ∣ K = 0 and curl (bKp) ∣ ∣ K = 0.”