A unified approach to shape and topological sensitivity analysis of discretized optimal design problems

DOI10.1007/s00245-023-10016-2zbMath1517.49026arXiv2209.15491OpenAlexW4380079000MaRDI QIDQ6111037

Peter Gangl, Michael H. Gfrerer

Publication date: 6 July 2023

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.15491

zbMATH Keywords

finite element methoddesign optimizationshape derivativetopological derivativeunified sensitivity analysis

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Reaction-diffusion equations (35K57) Optimization of shapes other than minimal surfaces (49Q10) Sensitivity analysis for optimization problems on manifolds (49Q12)

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