A linearized approach to worst-case design in parametric and geometric shape optimization
From MaRDI portal
Publication:2920912
DOI10.1142/S0218202514500195zbMath1297.49075MaRDI QIDQ2920912
Grégoire Allaire, Charles Dapogny
Publication date: 29 September 2014
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Numerical mathematical programming methods (65K05) Applications of mathematical programming (90C90) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Geometrical methods for optimization problems in solid mechanics (74P20)
Related Items
A minimaxmax problem for improving the torsional stability of rectangular plates, Shape optimization with a level set based mesh evolution method, Stochastic Dominance Constraints in Elastic Shape Optimization, Shape Optimization for Quadratic Functionals and States with Random Right-Hand Sides, Topology optimization of continuum structures under geometric uncertainty using a new extended finite element method, Robust shape optimization of continuous structures via the level set method, Optimization problems for PDEs in weak space-time form. Abstracts from the workshop held March 5--10, 2023, Two-Scale Elastic Shape Optimization for Additive Manufacturing, Some solutions of minimaxmax problems for the torsional displacements of rectangular plates, Bernoulli free boundary problems under uncertainty: the convex case, Robust shape and topology optimization of nanophotonic devices using the level set method, Optimal potentials for problems with changing sign data, Shape and topology optimization, Structural optimization under internal porosity constraints using topological derivatives, Worst-case shape optimization for the Dirichlet energy, Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering, A notion of compliance robustness in topology optimization, A deterministic approximation method in shape optimization under random uncertainties, Topology optimization under uncertainty via non-intrusive polynomial chaos expansion, A general framework for robust topology optimization under load-uncertainty including stress constraints, Risk-averse structural topology optimization under random fields using stochastic expansion methods, On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization
Cites Work
- Unnamed Item
- Unnamed Item
- Manufacturing tolerant topology optimization
- On projection methods, convergence and robust formulations in topology optimization
- A new level-set based approach to shape and topology optimization under geometric uncertainty
- Robust topology optimization accounting for spatially varying manufacturing errors
- Minimum stress optimal design with the level set method
- Robust structural topology optimization considering boundary uncertainties
- Confidence structural robust design and optimization under stiffness and load uncertainties
- Computation of the signed distance function to a discrete contour on adapted triangulation
- Principal compliance and robust optimal design
- On topological derivatives for elastic solids with uncertain input data
- Functional analysis, Sobolev spaces and partial differential equations
- Anatomy of the shape Hessian
- Structural optimization using sensitivity analysis and a level-set method.
- A level set method for structural topology optimization.
- Variation and optimization of formes. A geometric analysis
- Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty
- Weak lower semi-continuity of the optimal value function and applications to worst-case robust optimal control problems
- Shapes and Geometries
- Shape Optimization Under Uncertainty—A Stochastic Programming Perspective
- Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
- Shape and topology optimization of the robust complianceviathe level set method
