Regularized Perimeter for Topology Optimization

DOI10.1137/100816997zbMath1272.49090OpenAlexW4308788797MaRDI QIDQ2848580

Samuel Amstutz

Publication date: 26 September 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100816997

zbMATH Keywords

level settopology optimizationperimetertopological derivative

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (3)

A consistent approximation of the total perimeter functional for topology optimization algorithms ⋮ Multimaterial topology optimization by volume constrained Allen-Cahn system and regularized projected steepest descent method ⋮ Variational approach to relaxed topological optimization: closed form solutions for structural problems in a sequential pseudo-time framework

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