Weighted variational model for selective image segmentation with application to medical images

C Liu, MKP Ng, T Zeng - Pattern Recognition, 2018 - Elsevier
Selective image segmentation is an important topic in medical imaging and real
applications. In this paper, we propose a weighted variational selective image segmentation …

A novel subdomain level set method for structural topology optimization and its application in graded cellular structure design

H Liu, H Zong, Y Tian, Q Ma, MY Wang - Structural and Multidisciplinary …, 2019 - Springer
A novel subdomain structural topology optimization method is proposed for the minimum
compliance problem based on the level sets with the parameterization of radial basis …

Topology optimization applications on engineering structures

A Kentli - Truss and Frames-Recent Advances and New …, 2020 - books.google.com
Over the years, several optimization techniques were widely used to find the optimum shape
and size of engineering structures (trusses, frames, etc.) under different constraints (stress …

Topology optimization of multimaterial distribution based on isogeometric boundary element and piecewise constant level set method

F Jiang, L Chen, J Wang, X Miao, H Chen - Computer Methods in Applied …, 2022 - Elsevier
Based on isogeometric boundary element method (IGA BEM) and piecewise constant level
set (PCLS) method, a new topology optimization approach is proposed to design the …

Piecewise constant level set method for topology optimization of unilateral contact problems

A Myśliński - Advances in Engineering Software, 2015 - Elsevier
The paper deals with the structural optimization of the elastic body in unilateral contact with
a rigid foundation using the level set approach. A piecewise constant level set method is …

A new level set method for topology optimization of distributed compliant mechanisms

B Zhu, X Zhang - International journal for numerical methods in …, 2012 - Wiley Online Library
SUMMARY A new level set method for topology optimization of distributed compliant
mechanism is presented in this study. By taking two types of mean compliance into …

Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation

S Zhu, Z Gao - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
Eulerian derivatives of shape functionals in shape optimization can be written in two
formulations of boundary and volume integrals. The former is widely used in shape gradient …

Effective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivatives

S Zhu - Journal of Optimization Theory and Applications, 2018 - Springer
We consider to solve numerically the shape optimization models with Dirichlet Laplace
eigenvalues. Both volume-constrained and volume unconstrained formulations of the model …

On some geometrical eigenvalue inverse problems involving the p-Laplacian operator

A Chakib, I Khalil - Computational and Applied Mathematics, 2024 - Springer
In this paper, we deal with some shape optimization geometrical inverse spectral problems
involving the first eigenvalue and eigenfunction of ap-Laplace operator, over a class of open …

Topology optimization of steady Navier-Stokes flow via a piecewise constant level set method

X Dai, C Zhang, Y Zhang, M Gulliksson - Structural and Multidisciplinary …, 2018 - Springer
This paper presents a piecewise constant level set method for the topology optimization of
steady Navier-Stokes flow. Combining piecewise constant level set functions and artificial …