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The method of moving asymptotes—a new method for structural optimization
International Journal for Numerical Methods in Engineering · 1987 · Vol. 24(2) · pp. 359–373
Krister Svanberg✉(KTH Royal Institute of Technology)
Abstract
Abstract A new method for non‐linear programming in general and structural optimization in particular is presented. In each step of the iterative process, a strictly convex approximating subproblem is generated and solved. The generation of these subproblems is controlled by so called ‘moving asymptotes’, which may both stabilize and speed up the convergence of the general process.
Advanced Optimization Algorithms ResearchTopology Optimization in EngineeringIterative Methods for Nonlinear EquationsAsymptoteMathematical optimizationConvergence (economics)Process (computing)MathematicsIterative and incremental developmentRegular polygonIterative methodApplied mathematicsConvex optimization
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References
Structural optimization: A new dual method using mixed variables
International Journal for Numerical Methods in Engineering · 1986 · 556 citations
Some Approximation Concepts for Structural Synthesis
AIAA Journal · 1974 · 594 citations
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