caa a22 4500 463183908 CHVBK 20180406164846.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s10492-007-0022-5 doi (NATIONALLICENCE)springer-10.1007/s10492-007-0022-5 Optimal shape design in a fibre orientation model [Elektronische Daten] [Jan Stebel, Raino Mäkinen, Jukka Toivanen] We study a 2D model of the orientation distribution of fibres in a paper machine headbox. The goal is to control the orientation of fibres at the outlet by shape variations. The mathematical formulation leads to an optimization problem with control in coefficients of a linear convection-diffusion equation as the state problem. Existence of solutions both to the state and the optimization problem is analyzed and sensitivity analysis is performed. Further, discretization is done and a numerical example is shown. Mathematical Institute, Academy of Sciences of Czech Republic, 2007 fibre suspension flow nationallicence convection-diffusion equation nationallicence optimal control nationallicence sensitivity analysis nationallicence finite element method nationallicence automatic differentiation nationallicence Stebel Jan Department of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, 186 75, Praha 8, Czech Republic aut Mäkinen Raino Department of Mathematical Information Technology, University of Jyväskylä, PO Box 35 (Agora), FI-40014, Jyväskylä, Finland aut Toivanen Jukka Department of Mathematical Information Technology, University of Jyväskylä, PO Box 35 (Agora), FI-40014, Jyväskylä, Finland aut Applications of Mathematics Springer-Verlag 52/5(2007-10-01), 391-405 0862-7940 52:5<391 2007 52 10492 https://doi.org/10.1007/s10492-007-0022-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10492-007-0022-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Stebel Jan Department of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, 186 75, Praha 8, Czech Republic aut NATIONALLICENCE 700 1- Mäkinen Raino Department of Mathematical Information Technology, University of Jyväskylä, PO Box 35 (Agora), FI-40014, Jyväskylä, Finland aut NATIONALLICENCE 700 1- Toivanen Jukka Department of Mathematical Information Technology, University of Jyväskylä, PO Box 35 (Agora), FI-40014, Jyväskylä, Finland aut NATIONALLICENCE 773 0- Applications of Mathematics Springer-Verlag 52/5(2007-10-01), 391-405 0862-7940 52:5<391 2007 52 10492 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer