Topological derivatives of shape functionals. II: First-order method and applications

DOI10.1007/s10957-018-1419-xzbMath1414.49045OpenAlexW2898623945WikidataQ129007120 ScholiaQ129007120MaRDI QIDQ1730761

Antoni Żochowski, Antonio André Novotny, Jan Sokolowski

Publication date: 6 March 2019

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-018-1419-x

zbMATH Keywords

first-order methodshape sensitivity analysistopological derivativesapplications in topology optimization

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

The Boussinesq System with Nonsmooth Boundary Conditions: Existence, Relaxation, and Topology Optimization ⋮ A robust topology optimisation for wideband structures in acoustic-elastodynamic coupled fields ⋮ Topology optimization for steady-state anisothermal flow targeting solids with piecewise constant thermal diffusivity ⋮ Detecting damage in thin plates by processing infrared thermographic data with topological derivatives ⋮ Reconstruction of the source term in a time-fractional diffusion equation from partial domain measurement ⋮ On the optimal prediction of the stress field associated with discrete element models ⋮ Biomimetic approach to compliance optimization and multiple load cases ⋮ Topological derivative-based topology optimization of incompressible structures using mixed formulations ⋮ Topological Derivative of State-Constrained Objective Functions: A Direct Method

Uses Software

• Matlab

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