Primal-Dual Newton-Type Interior-Point Method for Topology Optimization
R.H.W. Hoppe, S. Petrova, V. Schulz, Journal of Optimization Theory and Applications 114 (2002) 545–571.
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Artikel
| Veröffentlicht
| Englisch
Autor*in
Hoppe, R.H.W.;
Petrova, Svetozara
;
Schulz, V.
;
Schulz, V.Abstract
We consider the problem of minimization of energy dissipation in a conductive electromagnetic medium with a fixed geometry and a priori given lower and upper bounds for the conductivity. The nonlinear optimization problem is analyzed by using the primal-dual Newton interior-point method. The elliptic differential equation for the electric potential is considered as an equality constraint. Transforming iterations for the null space decomposition of the condensed primal-
dual system are applied to find the search direction. The numerical experiments treat two-dimensional isotropic systems.
Stichworte
Erscheinungsjahr
Zeitschriftentitel
Journal of Optimization Theory and Applications
Band
114
Zeitschriftennummer
3
Seite
545-571
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eISSN
FH-PUB-ID
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Hoppe, R.H.W. ; Petrova, Svetozara ; Schulz, V.: Primal-Dual Newton-Type Interior-Point Method for Topology Optimization. In: Journal of Optimization Theory and Applications Bd. 114, Springer Science and Business Media LLC (2002), Nr. 3, S. 545–571
Hoppe RHW, Petrova S, Schulz V. Primal-Dual Newton-Type Interior-Point Method for Topology Optimization. Journal of Optimization Theory and Applications. 2002;114(3):545-571. doi:10.1023/A:1016070928600
Hoppe, R. H. W., Petrova, S., & Schulz, V. (2002). Primal-Dual Newton-Type Interior-Point Method for Topology Optimization. Journal of Optimization Theory and Applications, 114(3), 545–571. https://doi.org/10.1023/A:1016070928600
@article{Hoppe_Petrova_Schulz_2002, title={Primal-Dual Newton-Type Interior-Point Method for Topology Optimization}, volume={114}, DOI={10.1023/A:1016070928600}, number={3}, journal={Journal of Optimization Theory and Applications}, publisher={Springer Science and Business Media LLC}, author={Hoppe, R.H.W. and Petrova, Svetozara and Schulz, V.}, year={2002}, pages={545–571} }
Hoppe, R.H.W., Svetozara Petrova, and V. Schulz. “Primal-Dual Newton-Type Interior-Point Method for Topology Optimization.” Journal of Optimization Theory and Applications 114, no. 3 (2002): 545–71. https://doi.org/10.1023/A:1016070928600.
R. H. W. Hoppe, S. Petrova, and V. Schulz, “Primal-Dual Newton-Type Interior-Point Method for Topology Optimization,” Journal of Optimization Theory and Applications, vol. 114, no. 3, pp. 545–571, 2002.
Hoppe, R. H. W., et al. “Primal-Dual Newton-Type Interior-Point Method for Topology Optimization.” Journal of Optimization Theory and Applications, vol. 114, no. 3, Springer Science and Business Media LLC, 2002, pp. 545–71, doi:10.1023/A:1016070928600.
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