Incorporating topological derivatives into level set methods
Journal of Computational Physics
Structural optimization using sensitivity analysis and a level-set method
Journal of Computational Physics
A level set method for structural topology optimization and its applications
Advances in Engineering Software
A new algorithm for topology optimization using a level-set method
Journal of Computational Physics
Estimating the impact of large design changes on field problems
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Incorporating topological derivatives into shape derivatives based level set methods
Journal of Computational Physics
A feature-based topological optimization for structure design
Advances in Engineering Software
Global optimization, level set dynamics, incomplete sensitivity and regularity control
International Journal of Computational Fluid Dynamics
Topology optimization with optimality criteria and transmissible loads
Computers & Mathematics with Applications
Image Processing by Topological Asymptotic Expansion
Journal of Mathematical Imaging and Vision
Optimal location of the support of the control for the 1-D wave equation: numerical investigations
Computational Optimization and Applications
Shape and topology optimization based on the phase field method and sensitivity analysis
Journal of Computational Physics
Solving the Chan-Vese model by a multiphase level set algorithm based on the topological derivative
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Computational Optimization and Applications
Topological Sensitivity Analysis for the Location of Small Cavities in Stokes Flow
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Optimality Conditions for Shape and Topology Optimization Subject to a Cone Constraint
SIAM Journal on Control and Optimization
Asymptotic Imaging of Perfectly Conducting Cracks
SIAM Journal on Scientific Computing
Application of the Topological Gradient Method to Color Image Restoration
SIAM Journal on Imaging Sciences
A new method for inverse electromagnetic casting problems based on the topological derivative
Journal of Computational Physics
Damage and fracture evolution in brittle materials by shape optimization methods
Journal of Computational Physics
Augmented Lagrangian for cone constrained topology optimization
Computational Optimization and Applications
Structural and Multidisciplinary Optimization
Optimal Shape Design Subject to Elliptic Variational Inequalities
SIAM Journal on Control and Optimization
Risk Averse Shape Optimization
SIAM Journal on Control and Optimization
Second-order topological expansion for electrical impedance tomography
Advances in Computational Mathematics
Journal of Biomedical Imaging - Special issue on Mathematical Methods for Images and Surfaces 2011
From restoration by topological gradient to medical image segmentation via an asymptotic expansion
Mathematical and Computer Modelling: An International Journal
Development of a novel phase-field method for local stress-based shape and topology optimization
Computers and Structures
Structural and Multidisciplinary Optimization
Level-set methods for structural topology optimization: a review
Structural and Multidisciplinary Optimization
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The aim of the topological sensitivity analysis is to obtain an asymptotic expansion of a design functional with respect to the creation of a small hole. In this paper, such an expansion is obtained and analyzed in the context of linear elasticity for general functionals and arbitrary shaped holes by using an adaptation of the adjoint method and a domain truncation technique. The method is general and can be easily adapted to other linear PDEs and other types of boundary conditions.