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- Title
An error estimator for spectral method approximation of flow control with state constraint.
- Authors
Huang, Fenglin; Chen, Yanping; Lin, Tingting
- Abstract
We consider the spectral approximation of flow optimal control problems with state constraint. The main contribution of this work is to derive an a posteriori error estimator, and show the upper and lower bounds for the approximation error. Numerical experiment shows the efficiency of the error indicator, which will be used to construct reliable adaptive hp spectral element approximation for flow control in the future work.
- Subjects
STOKES equations; FLOW control (Data transmission systems); APPROXIMATION error; APPROXIMATION theory; NUMERICAL analysis
- Publication
Electronic Research Archive, 2022, Vol 30, Issue 9, p1
- ISSN
2688-1594
- Publication type
Article
- DOI
10.3934/era.2022162