Introduction to shape optimization - theory, approximation, and computation

By J. Haslinger, R. Mäkinen. Advances in design and control, 2003

456 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/1926be7dcaac2dea6bce362e3a555f349c8ad23e

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Citations in the corpus

Shape optimization of continua using NURBS as basis functions (2013, background): “On the other hand, viewing the shape optimization problem as a nonparametric problem, in which mapping from an initial domain to a new domain is selected as a design variable, the shape optimization problem is found to be irregular because the regularity of the shape derivatives of cost functions wi”
Shape optimization for viscous flows by reduced basis methods and free‐form deformation (2012, background): “In this paper we focus on the latter class of problems referred as shape optimization or optimal shape design problems [2, 18, 24, 27].”
A topology optimization method based on the level set method incorporating a fictitious interface energy (2010, background): “Finally, several optimum design examples are shown to confirm the validity and utility of the proposed topology optimization method.”
A probabilistic model for LCF (2013, methodology): “l. Due to the probabilistic nature of our model the new objective functional (11) for LCF life is suﬃciently regular so that eﬃcient gradient based shape optimization schemes can be conducted, confer [18, 19]. Acknowledgments This work hasbeen supported by theGermanfederal ministry ofeconomic aﬀairs”
Full analytical sensitivities in NURBS based isogeometric shape optimization (2010, methodology): “which are identical to the forms presented in [17, 18], except that instead of using nodal coordinates, we use control points’ coordinates P and instead of”
Antenna Current Optimization using MATLAB and CVX (2016, methodology): “Local or gradient-based optimization is used to improve the design [16, 42, 43, 50].”
Shape and topology optimization based on the phase field method and sensitivity analysis (2010, methodology): “Structural shapes are represented by the phase field function defined in the design domain, and optimization of this function is performed by solving a time-dependent reaction diffusion equation.”