Null space gradient flows for constrained optimization with applications to shape optimization

F Feppon, G Allaire, C Dapogny - ESAIM: Control, Optimisation and …, 2020 - esaim-cocv.org
The purpose of this article is to introduce a gradient-flow algorithm for solving equality and
inequality constrained optimization problems, which is particularly suited for shape …

A Hilbertian projection method for constrained level set-based topology optimisation

ZJ Wegert, AP Roberts, VJ Challis - Structural and Multidisciplinary …, 2023 - Springer
We present an extension of the projection method proposed by Challis et al.(Int J Solids
Struct 45 (14–15): 4130–4146, 2008) for constrained level set-based topology optimisation …

GridapTopOpt. jl: A scalable Julia toolbox for level set-based topology optimisation

ZJ Wegert, J Manyer, C Mallon, S Badia… - arXiv preprint arXiv …, 2024 - arxiv.org
In this paper we present GridapTopOpt, an extendable framework for level set-based
topology optimisation that can be readily distributed across a personal computer or high …

Memory-distributed level set-based inverse homogenisation of three-dimensional piezoelectric materials

ZJ Wegert, AP Roberts, VJ Challis - arXiv preprint arXiv:2410.03148, 2024 - arxiv.org
In this paper we use level set-based topology optimisation to design three-dimensional
periodic piezoelectric materials with enhanced properties. Our methodology is fully memory …

Shape optimization and uncertainties in the design of mechanical structures.

G Gargantini - 2024 - theses.hal.science
The present thesis focuses on the optimization of linear elastic structures subject to
uncertain mechanical loads. We studied three different approaches to factor uncertainties in …

Robust Shape Optimization for solid mechanics and fluid mechanics

SE Zerrouq - 2022 - theses.hal.science
The aim of this thesis is to study some robust design problems in the fields of solid
mechanics (the design of elastic and piezoelectric micro-structures), and fluid mechanics …

[PDF][PDF] NULL SPACE GRADIENT FLOWS FOR CONSTRAINED OPTIMIZATION WITH APPLICATIONS TO SHAPE OPTIMIZATION

S Tech - pdfs.semanticscholar.org
The purpose of this article is to introduce a gradient-flow algorithm for solving equality and
inequality constrained optimization problems, which is particularly suited for shape …