Shape Optimization via Control of a Shape Function on a Fixed Domain: Theory and Numerical Results

DOI10.1007/978-94-007-5288-7_16zbMath1268.49052OpenAlexW51131204MaRDI QIDQ2838346

Dan Tiba, Peter Philip

Publication date: 9 July 2013

Published in: Computational Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-94-007-5288-7_16

zbMATH Keywords

numerical experimentsDirichlet boundary conditionshape optimizationshape functionfixed domainelliptic partial differential state equations

Mathematics Subject Classification ID

Related Items (1)

Optimization of a plate with holes

Uses Software

• PARDISO
• pdelib
• Triangle

Cites Work

• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• On the existence of a solution in a domain identification problem
• Efficient sparse LU factorization with left-right looking strategy on shared memory multiprocessors
• Delaunay refinement algorithms for triangular mesh generation
• Variation and optimization of formes. A geometric analysis
• A level-set approach for inverse problems involving obstacles Fadil SANTOSA
• Optimization of Elliptic Systems
• Radial basis functions and level set method for structural topology optimization
• Shape optimization with topological changes and parametric control
• A level set-based parameterization method for structural shape and topology optimization
• Fixed domain approaches in shape optimization problems with Dirichlet boundary conditions
• An application of the integrated penalty method to free boundary problems of laplace equation
• Topology optimization with implicit functions and regularization
• Decomposition of Vector-Valued Divergence Free Sobolev Functions and Shape Optimization for Stationary Navier–Stokes Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Shape Optimization via Control of a Shape Function on a Fixed Domain: Theory and Numerical Results