Level set methods for optimization problems involving geometry and constraints. II: Optimization over a fixed surface

DOI10.1016/J.JCP.2008.07.011zbMath1359.74476OpenAlexW2039900425MaRDI QIDQ955268

Fadil Santosa, Emmanuel Maitre

Publication date: 19 November 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11299/179781

zbMATH Keywords

inverse problemconstrained optimizationlevel set methoddifferential geometryoptimal design

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Optimization of other properties in solid mechanics (74P10) Manifolds and measure-geometric topics (49Q99)

Related Items (3)

On a level-set method for ill-posed problems with piecewise nonconstant coefficients ⋮ An extrapolative approach to integration over hypersurfaces in the level set framework ⋮ Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Structural optimization using sensitivity analysis and a level-set method.
• Motion of curves constrained on surfaces using a level-set approach
• A topology-preserving level set method for shape optimization
• Level set methods and dynamic implicit surfaces
• Efficient implementation of weighted ENO schemes
• The Isoperimetric Problem on Surfaces
• A survey on level set methods for inverse problems and optimal design
• Accurate projection methods for the incompressible Navier-Stokes equations
• Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum

This page was built for publication: Level set methods for optimization problems involving geometry and constraints. II: Optimization over a fixed surface