Fast solver of optimal control problems constrained by Ohta-Kawasaki equations

DOI10.1007/s11075-019-00837-0zbMath1450.65034OpenAlexW2999580871WikidataQ126348381 ScholiaQ126348381MaRDI QIDQ2205642

Zhao-Zheng Liang, Rui-Xia Li, Guo-Feng Zhang

Publication date: 21 October 2020

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-019-00837-0

zbMATH Keywords

optimal controlpreconditioningCahn-Hilliard equationspectral analysisiterative solution method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (1)

A limited-memory BFGS-based differential evolution algorithm for optimal control of nonlinear systems with mixed control variables and probability constraints

Uses Software

• IFISS

Cites Work

• Unnamed Item
• A note on preconditioners for complex linear systems arising from PDE-constrained optimization problems
• Efficient numerical solution of discrete multi-component Cahn-Hilliard systems
• Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements
• Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Stokes control
• Optimal control problem for viscous Cahn-Hilliard equation
• Block preconditioners for elliptic PDE-constrained optimization problems
• On the existence of nonnegative continuous solutions of the Cahn-Hilliard equation
• Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems
• A note on preconditioner for the Ohta-Kawasaki equation
• Some preconditioners for elliptic PDE-constrained optimization problems
• Fast iterative solvers for an optimal transport problem
• Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint
• Optimal distributed control of nonlinear Cahn-Hilliard systems with computational realization
• A new preconditioner for elliptic PDE-constrained optimization problems
• A Note on Preconditioning Nonsymmetric Matrices
• Optimal Distributed Control of a Nonlocal Cahn--Hilliard/Navier--Stokes System in Two Dimensions
• A new approximation of the Schur complement in preconditioners for PDE-constrained optimization
• A splitting preconditioner for saddle point problems
• Preconditioning Iterative Methods for the Optimal Control of the Stokes Equations
• Numerical solution of saddle point problems
• Time optimal controls of the Cahn-Hilliard equation with internal control
• Algorithm 866
• Constraint Preconditioners for Symmetric Indefinite Matrices
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• An alternating positive-semidefinite splitting preconditioner for saddle point problems from time-harmonic eddy current models
• Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
• Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Preconditioning
• An Implicit Midpoint Spectral Approximation of Nonlocal Cahn--Hilliard Equations
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• A Preconditioner for the Ohta--Kawasaki Equation
• Block-Symmetric and Block-Lower-Triangular Preconditioners for PDE-Constrained Optimization Problems
• A New Preconditioning Strategy for Solving a Class of Time-Dependent Pde-Constrained Optimization Problems

This page was built for publication: Fast solver of optimal control problems constrained by Ohta-Kawasaki equations