Shape and topology optimization for elliptic boundary value problems using a piecewise constant level set method
type: Item
instance of: scholarly article
title: Shape and topology optimization for elliptic boundary value problems using a piecewise constant level set method
zbMATH Open document ID: 1213.65098
author: Shengfeng Zhu
author: Chunxiao Liu
author: Qingbiao Wu
published in: Applied Numerical Mathematics
publication date: 2011-04-19T00:00:00Z
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49Q10
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 5880113
zbMATH Keywords: shape optimization
zbMATH Keywords: topology optimization
zbMATH Keywords: piecewise constant level set method
zbMATH Keywords: projection Lagrangian method
zbMATH Keywords: optimal shape design
zbMATH Keywords: gradient-type iterative algorithm
zbMATH Keywords: numerical results
MaRDI profile type: Publication
full work available at URL: j.apnum.2011.01.005
OpenAlex ID: W2092579321
cites work: Q5323149
cites work: Structural optimization using sensitivity analysis and 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: A framework for the construction of level set methods for shape optimization and reconstruction
cites work: Incorporating topological derivatives into level set methods.
cites work: A survey on level set methods for inverse problems and optimal design
cites work: Analysis of iterative algorithms of Uzawa type for saddle point problems
cites work: Shapes and geometries. Analysis, differential calculus, and optimization
cites work: Level set method with topological derivatives in shape optimization
cites work: Q4040359
cites work: Incorporating topological derivatives into shape derivatives based level set methods
cites work: Q5487625
cites work: A binary level set model and some applications to Mumford-Shah image segmentation
cites work: A variant of the level set method and applications to image segmentation
cites work: Design of piezoelectric actuators using a multiphase level set method of piecewise constants
cites work: Applied shape optimization for fluids
cites work: Q3443102
cites work: Numerical Optimization
cites work: Level set methods and dynamic implicit surfaces
cites work: Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: Q4247633
cites work: On the Topological Derivative in Shape Optimization
cites work: Q4000354
cites work: Q4661443
cites work: A piecewise constant level set method for elliptic inverse problems
cites work: A level set method for structural topology optimization.
cites work: An extended level set method for shape and topology optimization
cites work: Piecewise constant level set method for structural topology optimization
cites work: A variational level set approach to multiphase motion
cites work: Variational piecewise constant level set methods for shape optimization of a two-density drum
DOI: 10.1016/J.APNUM.2011.01.005
description: scientific article; zbMATH DE number 5880113