A consistent relaxation of optimal design problems for coupling shape and topological derivatives
type: Item
instance of: scholarly article
title: A consistent relaxation of optimal design problems for coupling shape and topological derivatives
zbMATH Open document ID: 1393.74145
author: Samuel Amstutz
author: Charles Dapogny
author: Àlex Ferrer
published in: Numerische Mathematik
publication date: 2018-08-16T00:00:00Z
full work available at URL: http://hdl.handle.net/2117/118037
Mathematics Subject Classification ID: 74P05
Mathematics Subject Classification ID: 35Q93
Mathematics Subject Classification ID: 49Q10
Mathematics Subject Classification ID: 65N85
Mathematics Subject Classification ID: 49M20
zbMATH DE Number: 6919803
Wikidata QID: Q61734992
MaRDI profile type: Publication
OpenAlex ID: W2591967968
cites work: Q5558293
cites work: Q5318420
cites work: Shape optimization by the homogenization method
cites work: Damage and fracture evolution in brittle materials by shape optimization methods
cites work: Multi-phase structural optimizationviaa level set method
cites work: An optimal design problem with perimeter penalization
cites work: Polarization and moment tensors. With applications to inverse problems and effective medium theory
cites work: Q3410654
cites work: Analysis of a level set method for topology optimization
cites work: Connections between topological sensitivity analysis and material interpolation schemes in topology optimization
cites work: A new algorithm for topology optimization using a level-set method
cites work: Generating optimal topologies in structural design using a homogenization method
cites work: Material interpolation schemes in topology optimization
cites work: Q4449265
cites work: Q4189539
cites work: The topological derivative in anisotropic elasticity
cites work: Topology optimization of fluids in Stokes flow
cites work: Filters in topology optimization
cites work: Topology optimization of nonlinear elastic structures and compliant mechanisms
cites work: Variational methods in shape optimization problems
cites work: Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
cites work: The shape and topological optimizations' connection
cites work: Shapes and Geometries
cites work: Theory and practice of finite elements.
cites work: Topology optimization of slightly compressible fluids
cites work: Topological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspects
cites work: Variation and optimization of formes. A geometric analysis
cites work: Variational approach to shape derivatives
cites work: Q4892793
cites work: Filters in topology optimization based on Helmholtz-type differential equations
cites work: Q4218873
cites work: Remarks on strongly elliptic partial differential equations
cites work: Topological derivatives in shape optimization
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: Sensitivity of the heat equation to jumps of conductivity
cites work: Some convergence results in perimeter-controlled topology optimization
cites work: Q4214182
cites work: Numerical models for differential problems. Translated from the 5th Italian edition by Silvia Quarteroni
cites work: Q4265376
cites work: Q4000354
cites work: A homogenization method for shape and topology optimization
DBLP publication ID: journals/nm/AmstutzDF18
DOI: 10.1007/S00211-018-0964-4
description: scientific article; zbMATH DE number 6919803