Analyzing Smooth and Singular Domain Perturbations in Level Set Methods

DOI10.1137/17M1118956zbMath1396.49042OpenAlexW2886044459WikidataQ111288311 ScholiaQ111288311MaRDI QIDQ4578337

Antoine Laurain

Publication date: 9 August 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1118956

zbMATH Keywords

level set methodasymptotic analysisshape optimizationtopological derivative

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Fréchet and Gateaux differentiability in optimization (49J50) Time-scale analysis and singular perturbations in control/observation systems (93C70) Optimization of shapes other than minimal surfaces (49Q10) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (4)

A unified approach to shape and topological sensitivity analysis of discretized optimal design problems ⋮ Sensitivity analysis and tailored design of minimization diagrams ⋮ Ambiguous phase assignment of discretized 3D geometries in topology optimization ⋮ Shape Optimization for Superconductors Governed by H(curl)-Elliptic Variational Inequalities

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