A level set approach for the solution of a state-constrained optimal control problem
From MaRDI portal
Publication:1882557
DOI10.1007/s00211-004-0531-zzbMath1059.65057OpenAlexW2064167244MaRDI QIDQ1882557
Michael Hintermüller, Wolfgang Ring
Publication date: 1 October 2004
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-004-0531-z
algorithmnumerical exampleslevel set methodlinear elliptic partial differential equationsstate constrained optimal control
Numerical optimization and variational techniques (65K10) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
Related Items
A Mumford-Shah level-set approach for the inversion and segmentation of X-ray tomography data ⋮ A mixed finite element scheme for optimal control problems with pointwise state constraints ⋮ Level set method for optimization of contact problems ⋮ Optimal control of geometric partial differential equations ⋮ Level Set Method for Shape and Topology Optimization of Contact Problems ⋮ Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems ⋮ A penalty method for topology optimization subject to a pointwise state constraint ⋮ Solving discretized degenerate optimal control problems with state constraints ⋮ Semi-smooth Newton methods for state-constrained optimal control problems ⋮ A shape and topology optimization technique for solving a class of linear complementarity problems in function space ⋮ Numerical treatment of the Mumford–Shah model for the inversion and segmentation of X-ray tomography data ⋮ From shape variation to topological changes in constrained minimization: a velocity method-based concept
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The fast construction of extension velocities in level set methods
- Augmented Lagrangian method for distributed optimal control problems with state constraints
- An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional
- Optimization techniques for solving elliptic control problems with control and state constraints. I: Boundary control
- A Comparison of a Moreau--Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems
- Control of an Elliptic Problem with Pointwise State Constraints
- On interior-point Newton algorithms for discretized optimal control problems with state constraints∗
- A lagrange multiplier theorem for control problems with state constraints
- Fast Marching Methods
- Augemented Lagrangian Techniques for Elliptic State Constrained Optimal Control Problems
- A Second Order Shape Optimization Approach for Image Segmentation
- Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations