Efficient Solvers for Time-Periodic Parabolic Optimal Control Problems Using Two-Sided Bounds of Cost Functionals

Author:

Wolfmayr Monika

Publisher

Springer International Publishing

Reference14 articles.

1. Ciarlet, P. G., The Finite Element Method for Elliptic Problems, Studies in Mathematics and its Applications 4, North-Holland, Amsterdam (1978). Republished by SIAM (2002)

2. Gaevskaya, A., Hoppe, R. H. W., Repin, S.: A posteriori estimates for cost functionals of optimal control problems. In: Numer. Math. Adv. Appl. Proc. ENUMATH 2005, pp. 308–316 (2006)

3. Gaevskaya, A. V., Repin, S. I.: A posteriori error estimates for approximate solutions of linear parabolic problems. Differ. Equ. 41, 970–983 (2005)

4. Kollmann, M., Kolmbauer, Langer, U., Wolfmayr, M., Zulehner, W., A robust finite element solver for a multiharmonic parabolic optimal control problem, Comput. Math. Appl. 65, 469–486 (2013)

5. Kraus, J., Additive Schur complement approximation and application to multilevel preconditioning, SIAM J. Sci. Comput. 34, A2872–A2895 (2012)

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