Two algorithms for a class of elliptic problems in shape optimization

DOI10.1155/2015/241837zbMath1394.49040OpenAlexW1598445266WikidataQ59117708 ScholiaQ59117708MaRDI QIDQ1665068

Dai Xiaoxia, Zhang Chengwei, Li Tian

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/241837

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Topological methods for optimization problems in solid mechanics (74P15) Discrete approximations in optimal control (49M25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A level set method for shape and topology optimization of both structure and support of continuum structures
• Topology optimization of steady Navier-Stokes flow with body force
• Structural topology optimization with design-dependent pressure loads
• Greedy \(T\)-colorings of graphs
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Structural optimization using sensitivity analysis and a level-set method.
• Structural topology and shape optimization using a level set method with distance-suppression scheme
• A multi-material level set-based topology and shape optimization method
• Topology optimization with pressure load through a level set method
• Level set methods and dynamic implicit surfaces
• A greedy algorithm for maximizing a linear objective function
• A characteristic centred finite difference method for a 2D air pollution model
• Level set method with topological derivatives in shape optimization
• A Duality Approach for the Boundary Variation of Neumann Problems
• A Variational Binary Level Set Method for Structural Topology Optimization
• Level set methods: An overview and some recent results