GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Generating optimal topologies in structural design using a homogenization method
Computer Methods in Applied Mechanics and Engineering
A flexible inner-outer preconditioned GMRES algorithm
SIAM Journal on Scientific Computing
Distributed Schur Complement Techniques for General Sparse Linear Systems
SIAM Journal on Scientific Computing
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
The complex-step derivative approximation
ACM Transactions on Mathematical Software (TOMS)
Structural optimization using sensitivity analysis and a level-set method
Journal of Computational Physics
On the usefulness of non-gradient approaches in topology optimization
Structural and Multidisciplinary Optimization
Eliminating beta-continuation from Heaviside projection and density filter algorithms
Structural and Multidisciplinary Optimization
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This paper presents a novel multidisciplinary framework for performing shape and topology optimization of a flexible wing structure. The topology optimization is integrated into a multidisciplinary algorithm in which both the aerodynamic shape and the structural topology are optimized concurrently using gradient-based optimization. The optimization results were compared with the results of a sequential procedure in which the aerodynamic shape was optimized separately and then used as a fixed design feature in a subsequent structural optimization. The results show that the concurrent approach offers a significant advantage, as this design achieved 42% less drag than the sequentially optimized wing.