Topological Derivatives of Shape Functionals. Part I: Theory in Singularly Perturbed Geometrical Domains
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DOI: 10.1007/s10957-018-1417-z
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References listed on IDEAS
- Niels Aage & Erik Andreassen & Boyan S. Lazarov & Ole Sigmund, 2017. "Giga-voxel computational morphogenesis for structural design," Nature, Nature, vol. 550(7674), pages 84-86, October.
- M. Hintermüller & A. Laurain, 2010. "A shape and topology optimization technique for solving a class of linear complementarity problems in function space," Computational Optimization and Applications, Springer, vol. 46(3), pages 535-569, July.
- Antonio André Novotny & Jan Sokołowski & Antoni Żochowski, 2019. "Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 683-710, March.
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- Antonio André Novotny & Jan Sokołowski & Antoni Żochowski, 2019. "Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 683-710, March.
- 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.
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Keywords
Topological derivatives; Asymptotic analysis; Singular perturbations; Domain decomposition;All these keywords.
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