Incorporating topological derivatives into level set methods.
type: Item
instance of: scholarly article
title: Incorporating topological derivatives into level set methods.
zbMATH Open document ID: 1044.65053
author: Martin Burger
author: Benjamin Hackl
author: Wolfgang Ring
published in: Journal of Computational Physics
publication date: 2004-03-14T00:00:00Z
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49Q12
Mathematics Subject Classification ID: 65D99
zbMATH DE Number: 2056193
zbMATH Keywords: level set method
zbMATH Keywords: topology optimization
zbMATH Keywords: shape reconstruction
zbMATH Keywords: shape derivative
zbMATH Keywords: topological derivative
zbMATH Keywords: Hamilton-Jacobi equations
zbMATH Keywords: numerical examples
zbMATH Keywords: fixed-point iteration
MaRDI profile type: Publication
full work available at URL: j.jcp.2003.09.033
OpenAlex ID: W2000388899
cites work: Equivalent Norms for Sobolev Spaces
cites work: Shape optimization by the homogenization method
cites work: A level-set method for shape optimization.
cites work: Structural optimization using sensitivity analysis and a level-set method.
cites work: Material interpolation schemes in topology optimization
cites work: Design-dependent loads in topology optimization
cites work: A level set method for inverse problems
cites work: A framework for the construction of level set methods for shape optimization and reconstruction
cites work: Shapes and geometries. Analysis, differential calculus, and optimization
cites work: A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets
cites work: Shape reconstruction in 2D from limited-view multifrequency electromagnetic data
cites work: The topological asymptotic for PDE systems: The elasticity case
cites work: Q3139888
cites work: The Topological Asymptotic Expansion for the Dirichlet Problem
cites work: Iterative methods for the reconstruction of an inverse potential problem
cites work: A Second Order Shape Optimization Approach for Image Segmentation
cites work: Level-set function approach to an inverse interface problem
cites work: Weighted ENO Schemes for Hamilton--Jacobi Equations
cites work: Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set
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: A level-set approach for inverse problems involving obstacles Fadil SANTOSA
cites work: On the Topological Derivative in Shape Optimization
cites work: Topological derivatives for elliptic problems
cites work: Q4000354
cites work: Modelling crack growth by level sets in the extended finite element method
cites work: Q3666416
DOI: 10.1016/J.JCP.2003.09.033
description: scientific article; zbMATH DE number 2056193