Optimal shape design in a fibre orientation model

Applications of Mathematics

Volumn 52, Issue 5, 2007, Pages 391-405

  Stebel, Jan ^a   Mäkinen, Raino A E ^b   Toivanen, Jukka I ^b  

^a CHARLES UNIVERSITY   (Czech Republic)

^b UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

automatic differentiation; convection diffusion equation; fibre suspension flow; finite element method; optimal control; sensitivity analysis

Indexed keywords

EID: 84867938007     PISSN: 08627940     EISSN: 15729109     Source Type: Journal    
DOI: 10.1007/s10492-007-0022-5     Document Type: Article

References (12)

1. R. Byrd J. C. Gilbert J. Nocedal 2000 A trust region method based on interior point techniques for nonlinear programming Math. Program. A 89 149 185 1033.90152 10.1007/PL00011391 1795061
2. J.W. Demmel S.C. Eisenstat J. R. Gilbert X. S. Li J.W.H. Liu 1999 A supernodal approach to sparse partial pivoting SIAM J. Matrix Anal. Appl. 20 720 755 0931.65022 10.1137/S0895479895291765 1685050
3. D. Gilbarg, N. S. Trudinger: Elliptic Partial Differential Equations of Second Order. Springer-Verlag, Berlin, 2001.
4. A. Griewank: Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation. SIAM, Philadelphia, 2000.
5. J. Hämäläinen: Mathematical Modelling and Simulation of Fluid Flows in Headbox of Paper Machines. University of Jyväskylä, Jyväskyä, 1993.
6. J. Hämäläinen R.A. E. Mäkinen P. Tarvainen 2000 Optimal design of paper machine headboxes Int. J. Numer. Methods Fluids 34 685 700 0971.76024 10.1002/1097-0363(20001230)34:8<685::AID-FLD75>3.0.CO;2-O
7. J. Haslinger, R. A. E. Mäkinen: Introduction to Shape Optimization: Theory, Approximation, and Computation. SIAM, Philadelphia, 2003.
8. J. Haslinger J. Málek J. Stebel 2005 Shape optimization in problems governed by generalised Navier-Stokes Equations: Existence analysis Control Cybern 34 283 303
9. M. Křížek, P. Neittaanmäki: Finite Element Approximation of Variational Problems and Applications. Longman Academic, Scientific & Technical, Harlow, 1990.
10. O.A. Ladyzhenskaya, N.N. Ural'tseva: Linear and Quasilinear Elliptic Equations. Academic Press, New York-London, 1968.
11. R. A. E. Mäkinen, J. Hämäläinen: Optimal control of a turbulent fibre suspension flowing in a planar contraction. Commun. Numer. Meth. Eng.; Published Online: 13 Dec 2005, DOI: 10.1002/cnm.833.
12. A. Olson I. Frigaard C. Chan J. P. Hämäläinen 2004 Modelling a turbulent fibre suspension flowing in a planar contraction: The one-dimensional headbox Int. J. Multiphase Flow 30 51 66 10.1016/j. ijmultiphaseflow.2003.10.006