Abstract
We present a new approach to deliver reliable approximations of the norm of the residuals resulting from finite element solutions to the Stokes and Oseen equations. The method is based upon a global solve in a bubble space using iterative techniques. This provides an alternative to the classical equilibrated element residual methods for which it is necessary to construct proper boundary conditions for each local problem. The method is first used to develop a global a posteriori error estimator. It is then applied in a strategy to control the numerical error in specific outputs or quantities of interest which are functions of the solutions to the Stokes and Oseen equations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3-15 |
| Number of pages | 13 |
| Journal | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS |
| Volume | 31 |
| Issue number | 1 |
| DOIs | |
| State | Published - Sep 15 1999 |
| Externally published | Yes |
| Event | Proceedings of the 1998 10th International Conference on Finite Elements in Fluids - Tucson, AZ, United States Duration: Jan 5 1998 → Jan 8 1998 |
Keywords
- Error estimation
- Finite element solutions
- Stokes and Oseen equations
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Computer Science Applications
- Applied Mathematics