EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues Volume 18 / No 4 (October-December 2012) ESAIM: COCV, 18 4 (2012) 987-1004 References
Free Access
Issue
ESAIM: COCV
Volume 18, Number 4, October-December 2012
Page(s) 987 - 1004
DOI https://doi.org/10.1051/cocv/2011201
Published online 16 January 2012
  1. F. Abraham, M. Behr and M. Heinkenschloss, The effect of stabilization in finite element methods for the optimal boundary control of the Oseen equations. Finite Elem. Anal. Des. 41 (2004) 229–251. [CrossRef] [Google Scholar]
  2. R. Becker and M. Braack, A two-level stabilization scheme for the Navier-Stokes equations, in Numerical Mathematics and Advanced Applications, ENUMATH 2003. edited by, M. Feistauer et al., Springer (2004) 123–130. [Google Scholar]
  3. R. Becker and B. Vexler, Optimal control of the convection-diffusion equation using stabilized finite element methods. Numer. Math. 106 (2007) 349–367. [Google Scholar]
  4. M. Braack, Optimal control in fluid mechanics by finite elements with symmetric stabilization. SIAM J. Control Optim. 48 (2009) 672–687. [CrossRef] [MathSciNet] [Google Scholar]
  5. M. Braack and E. Burman, Local projection stabilization for the Oseen problem and its interpretation as a variational multiscale method. SIAM J. Numer. Anal. 43 (2006) 2544–2566. [CrossRef] [MathSciNet] [Google Scholar]
  6. M. Braack, E. Burman, V. John and G. Lube, Stabilized finite element methods for the generalized Oseen problem. Comput. Methods Appl. Mech. Engrg. 196 (2007) 853–866. [CrossRef] [MathSciNet] [Google Scholar]
  7. A.N. Brooks and T.J.R. Hughes, Streamline upwind Petrov-Galerkin formulation for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 32 (1982) 199–259. [CrossRef] [MathSciNet] [Google Scholar]
  8. S.S. Collis and M. Heinkenschloss, Analysis of the streamline upwind/Petrov Galerkin method applied to the solution of optimal control problems. Technical report 02-01, Rice University, Houston, TX (2002). [Google Scholar]
  9. L. Dedé and A. Quarteroni, Optimal control and numercal adaptivity for advection-diffusion equations. ESIAM : M2AN 39 (2005) 1019–1040. [CrossRef] [EDP Sciences] [Google Scholar]
  10. V. Girault and P.-A. Raviart, Finite Elements for the Navier Stokes Equations. Springer, Berlin (1986). [Google Scholar]
  11. M. Heinkenschloss and D. Leykekhman, Local error estimates for SUPG solutions of advection-dominated elliptic linear-quadratic optimal control problems. SIAM J. Numer. Anal. 47 (2010) 4607–4638. [CrossRef] [MathSciNet] [Google Scholar]
  12. M. Hinze, N. Yan and Z. Zhou, Variational discretization for optimal control governed by convection dominated diffusion equations. J. Comput. Math. 27 (2009) 237–253. [Google Scholar]
  13. C. Johnson and J. Saranen, Streamline diffusion methods for the incompressible Euler and Navier-Stokes equations. Math. Comput. 47 (1986) 1–18. [CrossRef] [Google Scholar]
  14. G. Lube and G. Rapin, Residual-based stabilized higher-order FEM for a generalized Oseen problem. Math. Models Methods Appl. Sci. 16 (2006) 949–966. [CrossRef] [Google Scholar]
  15. G. Lube and G. Rapin, Residual-based stabilized higher-order FEM for a generalized Oseen problem. Math. Models Methods Appl. Sci. 16 (2006) 949–966. [CrossRef] [Google Scholar]
  16. G. Lube and B. Tews, Optimal control of singularly perturb advection-diffusion-reaction problems. Math. Models Appl. Sci. 20 (2010) 1–21. [Google Scholar]
  17. G. Matthies, P. Skrzypacz and L. Tobiska, A unified convergence analysis for local projection stabilisations applied ro the Oseen problem. ESAIM : M2AN 41 (2007) 713–742. [Google Scholar]
  18. N. Yan and Z. Zhou, A priori and a posteriori error estimates of streamline diffusion finite element method for optimal control problems governed by convection dominated diffusion equation. NMTMA 1 (2008) 297–320. [Google Scholar]
  19. N. Yan and Z. Zhou, A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection dominated diffusion equation. J. Comput. Appl. Math. 223 (2009) 198–217. [CrossRef] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.