Inexact Hessian-vector products in reduced-space differential-equation constrained optimization
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Publication:2357250
DOI10.1007/s11081-014-9258-6zbMath1364.49037OpenAlexW2155813703WikidataQ115381548 ScholiaQ115381548MaRDI QIDQ2357250
Publication date: 19 June 2017
Published in: Optimization and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11081-014-9258-6
Large-scale problems in mathematical programming (90C06) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)
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Cites Work
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- Dual consistency and functional accuracy: a finite-difference perspective
- Stable and accurate artificial dissipation
- An inexact Newton method for nonconvex equality constrained optimization
- On the limited memory BFGS method for large scale optimization
- A comparison of optimization-based approaches for a model computational aerodynamics design problem
- Summation by parts for finite difference approximations for \(d/dx\)
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- Inexact and truncated parareal-in-time Krylov subspace methods for parabolic optimal control problems
- Preconditioned all-at-once methods for large, sparse parameter estimation problems
- Numerical Methods for Large Eigenvalue Problems
- Superconvergent Functional Estimates from Summation-By-Parts Finite-Difference Discretizations
- Computational Optimization of Systems Governed by Partial Differential Equations
- A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations
- Optimization with PDE Constraints
- Evaluating Derivatives
- Optimal Control in Fluid Mechanics by Finite Elements with Symmetric Stabilization
- An Inexact SQP Method for Equality Constrained Optimization
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Inexact Newton Methods
- Using Complex Variables to Estimate Derivatives of Real Functions
- Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
- Trust Region Methods
- Automatic Preconditioning by Limited Memory Quasi-Newton Updating
- Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration
- An interface optimization and application for the numerical solution of optimal control problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Inexact Krylov Subspace Methods for Linear Systems
- Perspectives in Flow Control and Optimization
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
- Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations
- Inexact Matrix-Vector Products in Krylov Methods for Solving Linear Systems: A Relaxation Strategy
- The complex-step derivative approximation
- Parallel Lagrange--Newton--Krylov--Schur Methods for PDE-Constrained Optimization. Part I: The Krylov--Schur Solver
- Parallel Lagrange--Newton--Krylov--Schur Methods for PDE-Constrained Optimization. Part II: The Lagrange--Newton Solver and Its Application to Optimal Control of Steady Viscous Flows
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