A new stabilized finite-element method is presented for the Stokes problem. The method is of a Douglas–Wang type, and includes a positive jump term controlling the residual of the Cauchy stress tensor on the internal edges of the triangulation. A priori error estimates are obtained in the natural norms of the unknowns and an a posteriori error estimator is proposed, analysed and tested through numerical experiments.
- jump term
- Stokes equation
- stabilized method
- a posteriori analysis
Araya, R., Barrenechea, G., & Valentin, F. (2007). A stabilized finite-element method for the Stokes problem including element and edge residuals. IMA Journal of Numerical Analysis, 27(1), 172-197. https://doi.org/10.1093/imanum/drl013