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Primal-Dual Newton-Type Interior-Point Method for Topology Optimization

Author

Listed:
  • R.H.W. Hoppe

    (University of Augsburg)

  • S.I. Petrova

    (Bulgarian Academy of Sciences)

  • V. Schulz

    (University of Trier)

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.

Suggested Citation

  • R.H.W. Hoppe & S.I. Petrova & V. Schulz, 2002. "Primal-Dual Newton-Type Interior-Point Method for Topology Optimization," Journal of Optimization Theory and Applications, Springer, vol. 114(3), pages 545-571, September.
    • Handle: RePEc:spr:joptap:v:114:y:2002:i:3:d:10.1023_a:1016070928600
    DOI: 10.1023/A:1016070928600
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    Cited by:

    1. Shreyas Vathul Subramanian & Daniel A. DeLaurentis, 2016. "Application of Multidisciplinary Systems‐of‐Systems Optimization to an Aircraft Design Problem," Systems Engineering, John Wiley & Sons, vol. 19(3), pages 235-251, May.
    2. Liu, Yisi & Wang, Xiaojun & Wang, Lei & Liu, Dongliang, 2019. "A modified leaky ReLU scheme (MLRS) for topology optimization with multiple materials," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 188-204.

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