Primal-dual Newton-type interior-point method for topology optimization

DOI10.1023/A:1016070928600zbMath1026.90108OpenAlexW1508326339MaRDI QIDQ1862194

Svetozara I. Petrova, Ronald H. W. Hoppe, Volker H. Schulz

Publication date: 10 March 2003

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1016070928600

zbMATH Keywords

nonlinear programmingtopology optimizationprimal-dual interior-point methodseddy current equationswatchdog strategy

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Interior-point methods (90C51) Optimization problems in optics and electromagnetic theory (78M50)

Related Items (9)

Adaptive multigrid and domain decomposition methods in the computation of electromagnetic fields ⋮ The use of neural network approximation models to speed up the optimisation process in electrical impedance tomography ⋮ State space Newton's method for topology optimization ⋮ Review of formulations for structural and mechanical system optimization ⋮ Simultaneous solution approaches for large optimization problems. ⋮ On the convergence of right transforming iterations for the numerical solution of PDE‐constrained optimization problems ⋮ A modified leaky ReLU scheme (MLRS) for topology optimization with multiple materials ⋮ Optimal shape design in biomimetics based on homogenization and adaptivity ⋮ Computing Multiple Solutions of Topology Optimization Problems

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