Alternating direction based method for optimal control problem constrained by Stokes equation

DOI10.1515/jiip-2020-0101zbMath1485.90133OpenAlexW3131794530MaRDI QIDQ2075142

Chao Wang, Kai Zhang, Yongcun Song, Jingzhi Li, Yu Gao

Publication date: 14 February 2022

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2020-0101

zbMATH Keywords

finite element methodoptimal control problemStokes equationalternating direction based method

Mathematics Subject Classification ID

Nonlinear programming (90C30) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Uses Software

• StokesP1FEM

Cites Work

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• Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
• Latent variable graphical model selection via convex optimization
• A stable finite element for the Stokes equations
• A dual algorithm for the solution of nonlinear variational problems via finite element approximation
• An efficient alternating direction method of multipliers for optimal control problems constrained by random Helmholtz equations
• Analysis and finite element approximation of an optimal control problem in electrochemistry with current density controls
• A note on the alternating direction method of multipliers
• Adaptive restart for accelerated gradient schemes
• An alternating direction method of multipliers for elliptic equation constrained optimization problem
• On the convergence of the direct extension of ADMM for three-block separable convex minimization models with one strongly convex function
• \(O(1/t)\) complexity analysis of the generalized alternating direction method of multipliers
• Error-bounds for finite element method
• Finite Element Analysis of Optimal Control Problem Governed by Stokes Equations with L²-Norm State-Constraints
• Alternating Direction Method with Gaussian Back Substitution for Separable Convex Programming
• Sufficient optimality conditions and semi-smooth newton methods for optimal control of stationary variational inequalities
• Numerical PDE-Constrained Optimization
• Recovering Low-Rank and Sparse Components of Matrices from Incomplete and Noisy Observations
• Error Estimates for the Numerical Approximation of a Distributed Control Problem for the Steady-State Navier–Stokes Equations
• Optimization with PDE Constraints
• Finite Element Methods for Navier-Stokes Equations
• Quasi-Newton Methods and Unconstrained Optimal Control Problems
• Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls
• Boundary Velocity Control of Incompressible Flow with an Application to Viscous Drag Reduction
• Optimal Control of Problems Governed by Abstract Elliptic Variational Inequalities with State Constraints
• Perspectives in Flow Control and Optimization
• Finite-Dimensional Approximation of a Class of Constrained Nonlinear Optimal Control Problems
• A Weak Galerkin Finite Element Method for the Navier-Stokes Equations
• An Alternating Direction Method of Multipliers for the Optimization Problem Constrained with a Stationary Maxwell System
• Fast Alternating Direction Optimization Methods
• Alternating Direction Methods for Latent Variable Gaussian Graphical Model Selection
• The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent

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