Free Access
Volume 39, Number 5, September-October 2005
Page(s) 1019 - 1040
Published online 15 September 2005
  1. V.I. Agoshkov, Optimal Control Methods and Adjoint Equations in Mathematical Physics Problems. Institute of Numerical Mathematics, Russian Academy of Science, Moscow (2003). [Google Scholar]
  2. A.K. Aziz, J.W. Wingate and M.J. Balas, Control Theory of Systems Governed by Partial Differential Equations. Academic Press, New York (1971). [Google Scholar]
  3. R. Becker and R. Rannacher, An optimal control approach to a posteriori error estimation in finite element methods. Acta Numer. 10 (2001) 1–102. [CrossRef] [MathSciNet] [Google Scholar]
  4. R. Becker, H. Kapp and R. Rannacher, Adaptive finite element methods for optimal control of partial differential equations: basic concepts. SIAM J. Control Optim. 39 (2000) 113–132. [Google Scholar]
  5. M. Braack and A. Ern, A posteriori control of modelling errors and Discretization errors. SIAM Multiscale Model. Simul. 1 (2003) 221–238. [CrossRef] [MathSciNet] [Google Scholar]
  6. G. Finzi, G. Pirovano and M. Volta, Gestione della Qualità dell'aria. Modelli di Simulazione e Previsione. Mc Graw-Hill, Milano (2001). [Google Scholar]
  7. L. Formaggia, S. Micheletti and S. Perotto, Anisotropic mesh adaptation in computational fluid dynamics: application to the advection-diffusion-reaction and the Stokes problems. Appl. Numer. Math. 51 (2004) 511–533. [CrossRef] [MathSciNet] [Google Scholar]
  8. A.N. Kolmogorov and S.V. Fomin, Elements of Theory of Functions and Functional Analysis. V.M. Tikhomirov, Nauka, Moscow (1989). [Google Scholar]
  9. R. Li, W. Liu, H. Ma and T. Tang, Adaptive finite element approximation for distribuited elliptic optimal control problems. SIAM J. Control Optim. 41 (2001) 1321–1349. [Google Scholar]
  10. J.-L. Lions, Optimal Control of Systems Governed by Partial Differential Equations. Springer-Verlag, New York (1971). [Google Scholar]
  11. W. Liu and N. Yan, A posteriori error estimates for some model boundary control problems. J. Comput. Appl. Math. 120 (2000) 159–173. [CrossRef] [MathSciNet] [Google Scholar]
  12. W. Liu and N. Yan, A Posteriori error estimates for distribuited convex optimal control problems. Adv. Comput. Math. 15 (2001) 285–309. [Google Scholar]
  13. B. Mohammadi and O. Pironneau, Applied Shape Optimization for Fluids. Clarendon Press, Oxford (2001). [Google Scholar]
  14. M. Picasso, Anisotropic a posteriori error estimates for an optimal control problem governed by the heat equation. Int. J. Numer. Method PDE (2004), submitted. [Google Scholar]
  15. O. Pironneau and E. Polak, Consistent approximation and approximate functions and gradients in optimal control. SIAM J. Control Optim. 41 (2002) 487–510. [CrossRef] [MathSciNet] [Google Scholar]
  16. A. Quarteroni and A. Valli, Numerical Approximation of Partial Differential Equations. Springer-Verlag, Berlin and Heidelberg (1994). [Google Scholar]
  17. J. Sokolowski and J.P. Zolesio, Introduction to Shape Optimization (Shape Sensitivity Analysis). Springer-Verlag, New York (1991). [Google Scholar]
  18. R.B. Stull, An Introduction to Boundary Layer Meteorology. Kluver Academic Publishers, Dordrecht (1988). [Google Scholar]
  19. F.P. Vasiliev, Methods for Solving the Extremum Problems. Nauka, Moscow (1981). [Google Scholar]
  20. D.A. Venditti and D.L. Darmofal, Grid adaption for functional outputs: application to two-dimensional inviscid flows. J. Comput. Phys. 176 (2002) 40–69. [CrossRef] [MathSciNet] [Google Scholar]
  21. R. Verfürth, A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques. Wiley, Teubner (1996). [Google Scholar]

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