Parallel generalized Lagrange-Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints
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Publication:2106215
DOI10.1016/j.apnum.2022.10.004OpenAlexW4306885301MaRDI QIDQ2106215
Jizu Huang, Hong-Jie Zhao, Haijian Yang
Publication date: 9 December 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2022.10.004
domain decompositionparallel computingSchwarz preconditionersLagrange-Newton methodPDE-constrained optimization
Numerical optimization and variational techniques (65K10) PDE constrained optimization (numerical aspects) (49M41)
Uses Software
Cites Work
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- A radial basis function method for solving PDE-constrained optimization problems
- Two-level space-time domain decomposition methods for flow control problems
- Numerical solution of a nonlinear parabolic control problem by a reduced SQP method
- Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization
- An efficient preconditioning method for state box-constrained optimal control problems
- PDE-constrained optimization in medical image analysis
- A fully implicit constraint-preserving simulator for the black oil model of petroleum reservoirs
- Variational inequality approach to enforcing the non-negative constraint for advection-diffusion equations
- Domain decomposition in time for PDE-constrained optimization
- Introduction to PDE-constrained optimization in the oil and gas industry
- Fast iterative solvers for convection-diffusion control problems
- Nonlinear Preconditioning Techniques for Full-Space Lagrange--Newton Solution of PDE-Constrained Optimization Problems
- Active-Set Reduced-Space Methods with Nonlinear Elimination for Two-Phase Flow Problems in Porous Media
- Flexible complementarity solvers for large-scale applications
- A New Active Set Algorithm for Box Constrained Optimization
- Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems
- Parallel Multilevel Restricted Schwarz Preconditioners with Pollution Removing for PDE‐Constrained Optimization
- Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Restricted Additive Schwarz Preconditioners with Harmonic Overlap for Symmetric Positive Definite Linear Systems
- The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints
- A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
- OPTIMAL CONTROL AND SHAPE OPTIMIZATION OF AORTO-CORONARIC BYPASS ANASTOMOSES
- A Reduced Hessian Method for Large-Scale Constrained Optimization
- Fully implicit Lagrange–Newton–Krylov–Schwarz algorithms for boundary control of unsteady incompressible flows
- Parallel One-Shot Lagrange--Newton--Krylov--Schwarz Algorithms for Shape Optimization of Steady Incompressible Flows
- Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function
- Optimal Control of a Semidiscrete Cahn--Hilliard--Navier--Stokes System with Nonmatched Fluid Densities
- Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations
- Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates
- 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
- Parallel Full Space SQP Lagrange--Newton--Krylov--Schwarz Algorithms for PDE-Constrained Optimization Problems
- High-performance parallel implicit CFD
