An improved numerical approach for solving shape optimization problems on convex domains
DOI10.1007/S11075-023-01660-4zbMATH Open1545.65258MaRDI QIDQ6543329
A. Chakib, [[Person:6086357|Author name not available (Why is that?)]], Ibrahim Khalil
Publication date: 24 May 2024
Published in: Numerical Algorithms (Search for Journal in Brave)
shape optimizationconvex domainsupport functionsgeometric optimizationshape derivativeMinkowski deformationnumerical comparative study
Numerical optimization and variational techniques (65K10) Optimization of shapes other than minimal surfaces (49Q10) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Sensitivity analysis for optimization problems on manifolds (49Q12)
Cites Work
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- Title not available (Why is that?)
- Title not available (Why is that?)
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- Binary level set methods for topology and shape optimization of a two-density inhomogeneous drum
- Optimal treatment of structures
- Variational piecewise constant level set methods for shape optimization of a two-density drum
- Anatomy of the shape Hessian
- Quelques résultats sur l'identification de domaines
- The shape and topological optimizations' connection
- A level set method for shape optimization in semilinear elliptic problems
- On a numerical shape optimization approach for a class of free boundary problems
- Variation and optimization of formes. A geometric analysis
- Variational approach to shape derivatives for a class of Bernoulli problems
- The finite element methods for elliptic problems.
- Distributed shape derivative via averaged adjoint method and applications
- Calculus Without Derivatives
- On a Shape Derivative Formula in the Brunn--Minkowski Theory
- Shape optimization and spectral theory
- Shapes and Geometries
- Differentiation with Respect to the Domain in Boundary Value Problems
- Velocity Method and Lagrangian Formulation for the Computation of the Shape Hessian
- New development in freefem++
- Pre-Shape Calculus: Foundations and Application to Mesh Quality Optimization
- Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization
- Simultaneous Shape and Mesh Quality Optimization using Pre-Shape Calculus
- Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model
- Convex Bodies The Brunn-MinkowskiTheory
- On numerical study of constrained coupled shape optimization problems based on a new shape derivative method
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