Local quadratic convergence of the SQP method for an optimal control problem governed by a regularized fracture propagation model
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Publication:6621511
DOI10.1051/COCV/2024052MaRDI QIDQ6621511
Publication date: 18 October 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations (Search for Journal in Brave)
Newton-type methods (49M15) Methods of successive quadratic programming type (90C55) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
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- Damage and fracture evolution in brittle materials by shape optimization methods
- On the active control of crack growth in elastic media
- A general theorem on error estimates with application to a quasilinear elliptic optimal control problem
- The variational approach to fracture
- A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
- Numerical experiments in revisited brittle fracture
- Implementation of an adaptive finite-element approximation of the Mumford-Shah functional
- Second order optimality conditions for optimal control of quasilinear parabolic equations
- Implicit function theorems for generalized equations
- Revisiting brittle fracture as an energy minimization problem
- Convergence of the SQP method for quasilinear parabolic optimal control problems
- A priori error estimates for a linearized fracture control problem
- Space-time formulation, discretization, and computational performance studies for phase-field fracture optimal control problems
- Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport
- On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects
- Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions
- Second order optimality conditions and their role in PDE control
- Multiphysics phase-field fracture. Modeling, adaptive discretizations, and solvers
- Sharp interface limit for a phase field model in structural optimization
- Second order analysis for optimal control problems: improving results expected from abstract theory
- Optimal Control of Allen-Cahn Systems
- Multi-material Phase Field Approach to Structural Topology Optimization
- Optimal approximations by piecewise smooth functions and associated variational problems
- Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
- A phase field approach for optimal boundary control of damage processes in two-dimensional viscoelastic media
- The lagrange-newton method for infinite-dimensional optimization problems
- Convergence analysis of the SQP method for nonlinear mixed-constrained elliptic optimal control problems
- Relaxation of an optimal design problem in fracture mechanic: the anti-plane case
- On a lagrange — Newton method for a nonlinear parabolic boundary control problem∗
- Strongly Regular Generalized Equations
- Image segmentation with a finite element method
- The SQP method for control constrained optimal control of the Burgers equation
- Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
- Necessary conditions of first-order for an optimal boundary control problem for viscous damage processes in 2D
- A VANISHING VISCOSITY APPROACH TO A RATE-INDEPENDENT DAMAGE MODEL
- On the Lagrange--Newton--SQP Method for the Optimal Control of Semilinear Parabolic Equations
- An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model
- Numerical Implementation of Phase-Field Models of Brittle Fracture
- Optimal Control for Phase-Field Fracture: Algorithmic Concepts and Computations
- Optimizing Fracture Propagation Using a Phase-Field Approach
- Second-Order Sufficient Optimality Conditions for Optimal Control of Nonsmooth, Semilinear Parabolic Equations
- An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model. Part II: The Regularization Limit
- Adaptive Optimal Control of the Obstacle Problem
- A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints
- Optimal Control of a Viscous Two‐Field Gradient Damage Model
- Second-order optimality conditions for an optimal control problem governed by a regularized phase-field fracture propagation model
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