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The NSF project "Goal-oriented Mesh Adaptivity for Constrained Optimal Control and Optimization Problems" was awarded to Prof. Ronald H.W. Hoppe in the Department of Mathematics at the University of Houston.



 
 


 
          Literature:  
  1. M. Hintermüller, R.H.W. Hoppe, Y. Iliash, and M. Kieweg; An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints. to appear in ESAIM Contro, Optimisation and Calculus of Variations, 2006.  here

  2. R.H.W. Hoppe, Y. Iliash, C. Iyyunni, and N.H. Sweilam; A posteriori error estimates for adaptive finite element discretizations of boundary control problems. J. Numer. Math. 14, 57-82, 2006.  here

  3. A. Gaevskaya, R.H.W. Hoppe, Y. Iliash, and M. Kieweg; Convergence analysis of an adaptive finite element method for distributed control problems with control constraints. to appear in: Proc. Conf. 'Optimal Control for PDEs', Oberwolfach, April 2005 (G. Leugering et al.; eds.), Birkhaeuser, Basel, 2006.  here

  4. A. Gaevskaya, R.H.W. Hoppe, Y. Iliash, and M. Kieweg: A posteriori error analysis opf adaptive finite element methods for control constrained distributed and boundary control problems. to appear in: Proc. Conf. 'Scientific Computing', Moscow, September 2005 (O. Pironneau et al.; eds.), 2006. here

  5. R.H.W. Hoppe and M. Kieweg, A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems. Submitted to SIAM J. Control Optimization, 2007. here

  6. A. Gaevskaya, R.H.W. Hoppe, and S. Repin, A posteriori estimates for cost functionals of optimal control problems. In: Numerical Methods and Advanced Applications (A. Bermudez de Castro et al; eds.), pp. 308-316, Springer, Berlin-Heidelberg- New York, 2006. here

  7. M. Hintermüller and R.H.W. Hoppe, Goal-oriented adaptivity in control constrained optimal control of partial differential equations. Submitted to SIAM J. Control Optimization, 2007. here

  8. R.H.W. Hoppe and M. Kieweg, Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems. Submitted to Comput. Optimization Appl. here


 

  
   © 2006 by C. Linsenmann •  linsen@math.uh.edu •   Last update April 8, 2007