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

R.H.W. Hoppe, S.I. Petrova and V. Schulz
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R.H.W. Hoppe: University of Augsburg
S.I. Petrova: Bulgarian Academy of Sciences
V. Schulz: University of Trier

Journal of Optimization Theory and Applications, 2002, vol. 114, issue 3, No 3, 545-571

Abstract: 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.

Keywords: Eddy current equations; topology optimization; nonlinear programming; primal-dual interior-point methods; watchdog strategy (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (2)

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DOI: 10.1023/A:1016070928600

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