Moreau-Yosida regularization in shape optimization with geometric constraints
From MaRDI portal
Publication:496234
DOI10.1007/s10589-014-9661-0zbMath1346.90810OpenAlexW2002153677MaRDI QIDQ496234
Michael Ulbrich, Moritz Keuthen
Publication date: 21 September 2015
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10589-014-9661-0
geometric constraintsshape optimizationMoreau-Yosida regularizationsecond-order conditionsemismooth Newtonmethod of mappings
Applications of mathematical programming (90C90) Programming in abstract spaces (90C48) Optimization of shapes other than minimal surfaces (49Q10)
Related Items (5)
On the resolution of the variational inequalities of the first and the second kind as equations obtained by explicit Moreau-Yosida regularizations ⋮ Analysis of shape optimization problems for unsteady fluid-structure interaction ⋮ On the convergence of a multigrid method for Moreau-regularized variational inequalities of the second kind ⋮ Designing polymer spin packs by tailored shape optimization techniques ⋮ A Continuous Perspective on Shape Optimization via Domain Transformations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An interior point algorithm with inexact step computation in function space for state constrained optimal control
- A general theorem on error estimates with application to a quasilinear elliptic optimal control problem
- Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditions
- Second-order numerical method for domain optimization problems
- Singularités en élasticité. (Singularities in elasticity)
- Computation of high order derivatives in optimal shape design
- Newton's method in shape optimisation: A three-dimensional case
- The convergence of an interior point method for an elliptic control problem with mixed control-state constraints
- Semi-smooth Newton methods for state-constrained optimal control problems
- Optimal control of PDEs with regularized pointwise state constraints
- Multigrid Shape Optimization Governed by Elliptic PDEs
- Advanced Numerical Methods for PDE Constrained Optimization with Application to Optimal Design in Navier Stokes Flow
- Optimization with PDE Constraints
- Barrier Methods for Optimal Control Problems with State Constraints
- Adaptive Path Following Primal Dual Interior Point Methods for Shape Optimization of Linear and Nonlinear Stokes Flow Problems
- OPtimum design for potential flows
- Optimization and nonsmooth analysis
- Optimal shape design for a nozzle problem
- Variational Analysis
- A Second Order Shape Optimization Approach for Image Segmentation
- Introduction to Shape Optimization
- Newton's Method for a Class of Optimal Shape Design Problems
- The Length of the Primal-Dual Path in Moreau--Yosida-Based Path-Following Methods for State Constrained Optimal Control
- Feasible and Noninterior Path‐Following in Constrained Minimization with Low Multiplier Regularity
- Regular Lagrange Multipliers for Control Problems with Mixed Pointwise Control-State Constraints
- A priorierror estimates for finite element discretizations of a shape optimization problem
- Path-following Methods for a Class of Constrained Minimization Problems in Function Space
This page was built for publication: Moreau-Yosida regularization in shape optimization with geometric constraints