caa a22 4500 605496803 CHVBK 20210128100538.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10543-014-0497-x doi (NATIONALLICENCE)springer-10.1007/s10543-014-0497-x Adaptive edge element approximation of H(curl) -elliptic optimal control problems with control constraints [Elektronische Daten] [Ronald Hoppe, Irwin Yousept] A three-dimensional H(curl)-elliptic optimal control problem with distributed control and pointwise constraints on the control is considered. We present a residual-type a posteriori error analysis with respect to a curl-conforming edge element approximation of the optimal control problem. Here, the lowest order edge elements of Nédélec's first family are used for the discretization of the state and the control with respect to an adaptively generated family of simplicial triangulations of the computational domain. In particular, the a posteriori error estimator consists of element and face residuals associated with the state equation and the adjoint state equation. The main results are the reliability of the estimator and its efficiency up to oscillations in terms of the data of the problem. In the last part of the paper, numerical results are included which illustrate the performance of the adaptive approach. Springer Science+Business Media Dordrecht, 2014 Optimal control of PDEs nationallicence H(curl) -elliptic problems nationallicence Curl-conforming edge elements nationallicence Residual a posteriori error estimator nationallicence Reliability and efficiency nationallicence Hoppe Ronald Department of Mathematics, University of Houston, 77204-3008, Houston, TX, USA aut Yousept Irwin Graduate School of Excellence Computational Engineering, Technical University Darmstadt, 64293, Darmstadt, Germany aut BIT Numerical Mathematics Springer Netherlands 55/1(2015-03-01), 255-277 0006-3835 55:1<255 2015 55 10543 https://doi.org/10.1007/s10543-014-0497-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10543-014-0497-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hoppe Ronald Department of Mathematics, University of Houston, 77204-3008, Houston, TX, USA aut NATIONALLICENCE 700 1- Yousept Irwin Graduate School of Excellence Computational Engineering, Technical University Darmstadt, 64293, Darmstadt, Germany aut NATIONALLICENCE 773 0- BIT Numerical Mathematics Springer Netherlands 55/1(2015-03-01), 255-277 0006-3835 55:1<255 2015 55 10543