A Symmetric Inertial Alternating Direction Method of Multipliers for Elliptic Equation Constrained Optimization Problem
DOI10.4208/aamm.OA-2020-0400zbMath1499.49091OpenAlexW4214652883MaRDI QIDQ5077112
Jianhua Yuan, Mengyue Wu, Hui Tian, Wen-Bao Ai
Publication date: 17 May 2022
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/aamm.oa-2020-0400
finite element methodconvergence rateelliptic equation constraintsymmetric inertial alternating direction method of multipliers
Convex programming (90C25) Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving partial differential equations (49J20) PDE constrained optimization (numerical aspects) (49M41)
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Cites Work
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- Galerkin spectral approximation of elliptic optimal control problems with \(H^1\)-norm state constraint
- Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems
- Error estimates for the numerical approximation of Neumann control problems
- Data assimilation in weather forecasting: a case study in PDE-constrained optimization
- Optimal control problems with no turning back
- A dual algorithm for the solution of nonlinear variational problems via finite element approximation
- Pseudospectral Legendre-based optimal computation of nonlinear constrained variational problems
- Extended ADMM and BCD for nonseparable convex minimization models with quadratic coupling terms: convergence analysis and insights
- A posteriori error estimates for optimal control problems governed by parabolic equations
- An alternating direction method of multipliers for elliptic equation constrained optimization problem
- Numerical PDE-Constrained Optimization
- A Strictly Contractive Peaceman--Rachford Splitting Method for Convex Programming
- A Multilevel Correction Method for Optimal Controls of Elliptic Equations
- Solving Constrained Total-variation Image Restoration and Reconstruction Problems via Alternating Direction Methods
- On Finite Element Error Estimates for Optimal Control Problems with Elliptic PDEs
- Mixed Finite Element Method for Dirichlet Boundary Control Problem Governed by Elliptic PDEs
- Introduction to the Theory of Nonlinear Optimization
- Inertial Proximal ADMM for Linearly Constrained Separable Convex Optimization
- Optimization with PDE Constraints
- Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains
- A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations
- The pseudospectral Legendre method for discretizing optimal control problems
- An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations
- Restoration of Poissonian Images Using Alternating Direction Optimization
