A Sequential Convex Semidefinite Programming Algorithm with an Application to Multiple-Load Free Material Optimization
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Publication:5189554
DOI10.1137/070711281zbMath1239.74010OpenAlexW2086659547MaRDI QIDQ5189554
Michael Stingl, Michal Kočvara, Günter R. Leugering
Publication date: 17 March 2010
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/070711281
Semidefinite programming (90C22) Convex programming (90C25) Applications of mathematical programming (90C90) Classical linear elasticity (74B05) Compliance or weight optimization in solid mechanics (74P05)
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On the efficient solution of a patch problem with multiple elliptic inclusions ⋮ Sufficient optimality conditions hold for almost all nonlinear semidefinite programs ⋮ Convergence to a second-order critical point by a primal-dual interior point trust-region method for nonlinear semidefinite programming ⋮ Solving stress constrained problems in topology and material optimization ⋮ On strength design using free material subjected to multiple load cases ⋮ Two-Scale Elastic Shape Optimization for Additive Manufacturing ⋮ On the use of Jordan algebras for improving global convergence of an augmented Lagrangian method in nonlinear semidefinite programming ⋮ Optimality conditions and global convergence for nonlinear semidefinite programming ⋮ A Subgradient Method for Free Material Design ⋮ A primal-dual interior point trust-region method for nonlinear semidefinite programming ⋮ Material Optimization in Transverse Electromagnetic Scattering Applications ⋮ A primal-dual interior point method for large-scale free material optimization
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