Optimal Control of Non-Smooth Hyperbolic Evolution Maxwell Equations in Type-II Superconductivity
From MaRDI portal
Publication:5348125
DOI10.1137/16M1074229zbMath1377.35236MaRDI QIDQ5348125
Publication date: 14 August 2017
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
optimality systemtype-II superconductivityBean's critical-state modelexistence analysisnonsmooth hyperbolic evolution Maxwell equationsnonsmooth PDE-constrained optimization
Control/observation systems governed by partial differential equations (93C20) PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of superconductors (82D55) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61) PDEs in connection with control and optimization (35Q93)
Related Items
The Boussinesq System with Nonsmooth Boundary Conditions: Existence, Relaxation, and Topology Optimization ⋮ Maxwell Variational Inequalities in Type-II Superconductivity ⋮ Maxwell quasi-variational inequalities in superconductivity ⋮ Eddy current approximation in Maxwell obstacle problems ⋮ Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems ⋮ Edge Element Method for Optimal Control of Stationary Maxwell System with Gauss Law ⋮ Optimal control of parameterized stationary Maxwell's system: reduced basis, convergence analysis, and a posteriori error estimates ⋮ Quasilinear Variational Inequalities in Ferromagnetic Shielding: Well-Posedness, Regularity, and Optimal Control ⋮ Hyperbolic Maxwell variational inequalities of the second kind ⋮ Hyperbolic Maxwell Variational Inequalities for Bean's Critical-State Model in Type-II Superconductivity ⋮ Optimal control of elliptic variational inequalities with bounded and unbounded operators ⋮ Adaptive Edge Element Approximation for H(curl) Elliptic Variational Inequalities of Second Kind ⋮ Variational source condition for ill-posed backward nonlinear Maxwell’s equations ⋮ An Alternating Direction Method of Multipliers for the Optimization Problem Constrained with a Stationary Maxwell System ⋮ An adaptive edge element method and its convergence for an electromagnetic constrained optimal control problem ⋮ An adaptive edge element approximation of a quasilinear H(curl)-elliptic problem ⋮ Optimal Actuator Design for Semilinear Systems ⋮ Variational Source Conditions in $L^p$-spaces ⋮ Well-posedness theory for electromagnetic obstacle problems ⋮ Shape Optimization for Superconductors Governed by H(curl)-Elliptic Variational Inequalities ⋮ Fully Discrete Scheme for Bean's Critical-state Model with Temperature Effects in Superconductivity ⋮ Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell system ⋮ Oversmoothing Tikhonov regularization in Banach spaces * ⋮ High-order homogenization in optimal control by the Bloch wave method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal control of Maxwell's equations with regularized state constraints
- On two optimal control problems for magnetic fields
- A variational inequality in Bean's model for superconductors with displacement current
- Optimal control of parabolic variational inequalities
- On a first-order hyperbolic system including Bean's model for superconductors with displacement current
- Eddy current approximation of Maxwell equations. Theory, algorithms and applications
- Semigroups of linear operators and applications to partial differential equations
- Finite element analysis of an optimal control problem in the coefficients of time-harmonic eddy current equations
- Adaptive edge element approximation of \(H(\mathrm{curl}\)-elliptic optimal control problems with control constraints
- The Bean model in superconductivity: Variational formulation and numerical solution
- Optimal control of the full time-dependent maxwell 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
- Magnetization of Hard Superconductors
- A finite-element analysis of critical-state models for type-II superconductivity in 3D
- A QUASI-VARIATIONAL INEQUALITY PROBLEM IN SUPERCONDUCTIVITY
- Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
- Vector potentials in three-dimensional non-smooth domains
- One-Parameter Semigroups for Linear Evolution Equations
