An Alternating Direction Method of Multipliers for the Optimization Problem Constrained with a Stationary Maxwell System
DOI10.4208/cicp.OA-2017-0117zbMath1473.90161OpenAlexW2913543365WikidataQ128543891 ScholiaQ128543891MaRDI QIDQ5160521
Kai Zhang, Yongle Hao, Haiming Song, Xiao Shen Wang
Publication date: 29 October 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2017-0117
Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) 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) Electromagnetic theory (general) (78A25)
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Cites Work
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- Stability estimates for solutions of control problems for the Maxwell equations with mixed boundary conditions
- Optimal control of Maxwell's equations with regularized state constraints
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Eddy current approximation of Maxwell equations. Theory, algorithms and applications
- Mixed finite elements in \(\mathbb{R}^3\)
- Stability estimates for solutions of boundary control problems for Maxwell's equations with mixed boundary conditions
- On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers
- An alternating direction method of multipliers for elliptic equation constrained optimization problem
- \(O(1/t)\) complexity analysis of the generalized alternating direction method of multipliers
- Optimal bilinear control of eddy current equations with grad-div regularization
- Optimal control of the full time-dependent maxwell equations
- Finite Element Approximations of Parabolic Optimal Control Problems with Controls Acting on a Lower Dimensional Manifold
- Optimal Control of the Inhomogeneous Relativistic Maxwell--Newton--Lorentz Equations
- PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltages
- Optimal Control of Quasilinear $\boldsymbol{H}(\mathbf{curl})$-Elliptic Partial Differential Equations in Magnetostatic Field Problems
- Inverse Problems
- On the $O(1/n)$ Convergence Rate of the Douglas–Rachford Alternating Direction Method
- Numerical PDE-Constrained Optimization
- A Multilevel Correction Method for Optimal Controls of Elliptic Equations
- A Convergent adaptive edge element method for an optimal control problem in magnetostatics
- Alternating Direction Algorithms for $\ell_1$-Problems in Compressive Sensing
- Approximations of Elliptic Optimal Control Problems with Controls Acting on a Lower Dimensional Manifold
- Lagrange Multiplier Approach to Variational Problems and Applications
- Analysis of a Finite Element Method for Maxwell’s Equations
- Finite Element Methods for Maxwell's Equations
- Uniform Convergence of Adaptive Multigrid Methods for Elliptic Problems and Maxwell's Equations
- Nonconforming Mixed Finite Element Method for Time-dependent Maxwell's Equations with ABC
- Optimal Control of Non-Smooth Hyperbolic Evolution Maxwell Equations in Type-II Superconductivity
- Solving Maxwell's Equation in Meta-Materials by a CG-DG Method
- Simulation of Maxwell's Equations on GPU Using a High-Order Error-Minimized Scheme
- A posteriori error estimates for Maxwell equations
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