Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications
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DOI: 10.1007/s10957-018-1419-x
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References listed on IDEAS
- Duan, Xianbao & Li, Feifei, 2015. "Material distribution resembled level set method for optimal shape design of Stokes flow," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 21-30.
- Antonio André Novotny & Jan Sokołowski & Antoni Żochowski, 2019. "Topological Derivatives of Shape Functionals. Part I: Theory in Singularly Perturbed Geometrical Domains," Journal of Optimization Theory and Applications, Springer, vol. 180(2), pages 341-373, February.
- I. Hlaváček & A. A. Novotny & J. Sokołowski & A. Żochowski, 2009. "On Topological Derivatives for Elastic Solids with Uncertain Input Data," Journal of Optimization Theory and Applications, Springer, vol. 141(3), pages 569-595, June.
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Cited by:
- Michał Nowak & Jan Sokołowski & Antoni Żochowski, 2020. "Biomimetic Approach to Compliance Optimization and Multiple Load Cases," Journal of Optimization Theory and Applications, Springer, vol. 184(1), pages 210-225, January.
- Ada Amendola, 2020. "On the Optimal Prediction of the Stress Field Associated with Discrete Element Models," Journal of Optimization Theory and Applications, Springer, vol. 187(3), pages 613-629, December.
- Antonio André Novotny & Jan Sokołowski & Antoni Żochowski, 2019. "Topological Derivatives of Shape Functionals. Part III: Second-Order Method and Applications," Journal of Optimization Theory and Applications, Springer, vol. 181(1), pages 1-22, April.
- Antonio André Novotny & Jan Sokołowski & Antoni Żochowski, 2019. "Topological Derivatives of Shape Functionals. Part I: Theory in Singularly Perturbed Geometrical Domains," Journal of Optimization Theory and Applications, Springer, vol. 180(2), pages 341-373, February.
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Keywords
Topological derivatives; First-order method; Applications in topology optimization;All these keywords.
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