Optimal control for electromagnetic cloaking metamaterial parameters design
From MaRDI portal
Publication:2004589
DOI10.1016/j.camwa.2019.08.023zbMath1448.49049OpenAlexW2971412135MaRDI QIDQ2004589
Xiang Wang, Zhi-Wei Fang, Jichun Li
Publication date: 7 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.08.023
Optimality conditions for problems involving partial differential equations (49K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electromagnetic theory (general) (78A25) Inverse problems in optimal control (49N45) Variational principles of physics (49S05)
Related Items
Isotropic Cloak Materials Design Based on the Numerical Optimization Method of the Inverse Medium Problem, An adaptive edge element method and its convergence for an electromagnetic constrained optimal control problem
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis and optimization in problems of cloaking of material bodies for the Maxwell equations
- Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem
- Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials
- Numerical simulations of cloaking problems using a DPG method
- An adaptive edge finite element method for electromagnetic cloaking simulation
- On two optimal control problems for magnetic fields
- A robust finite element solver for a multiharmonic parabolic optimal control problem
- Discrete maximal parabolic regularity for Galerkin finite element methods
- Interior penalty DG methods for Maxwell's equations in dispersive media
- Error estimates and superconvergence of mixed finite element methods for convex optimal control problems
- Automated solution of differential equations by the finite element method. The FEniCS book
- A weak Galerkin finite element method for the Maxwell equations
- Optimization analysis of a 2D magnetic cloaking problem for bilayer structure
- Error estimates and superconvergence of a mixed finite element method for elliptic optimal control problems
- Interior penalty method for the indefinite time-harmonic Maxwell equations
- Stabilized interior penalty methods for the time-harmonic Maxwell equations.
- Boundary optimal control of MHD flows
- Finite element analysis of an optimal control problem in the coefficients of time-harmonic eddy current equations
- A stable nonconforming mixed finite element scheme for elliptic optimal control problems
- A second order dispersive FDTD algorithm for transverse electric Maxwell's equations with complex interfaces
- Adaptive edge element approximation of \(H(\mathrm{curl}\)-elliptic optimal control problems with control constraints
- Optimal control of some quasilinear Maxwell equations of parabolic type
- An adaptive \(P_1\) finite element method for two-dimensional transverse magnetic time harmonic Maxwell's equations with general material properties and general boundary conditions
- Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials
- Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics
- Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers
- Analysis and discretization of an optimal control problem for the time-periodic MHD equations
- Finite Element Approximations of Parabolic Optimal Control Problems with Controls Acting on a Lower Dimensional Manifold
- 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
- Analysis of spatial high-order finite difference methods for Maxwell's equations in dispersive media
- Mathematical Analysis and Time-Domain Finite Element Simulation of Carpet Cloak
- Numerical PDE-Constrained Optimization
- Optical Conformal Mapping
- Controlling Electromagnetic Fields
- Optimization with PDE Constraints
- Cloaking via change of variables for the Helmholtz equation
- Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics
- Edge Element Method for Optimal Control of Stationary Maxwell System with Gauss Law
- Development and analysis of Crank‐Nicolson scheme for metamaterial Maxwell's equations on nonuniform rectangular grids
- Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
- Finite Element Methods for Maxwell's Equations
- Mixed Finite Element Methods and Applications
- A New Convergence Analysis of Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints
- Optimal Control of a Free Boundary Problem: Analysis with Second-Order Sufficient Conditions
- Computing with hp-ADAPTIVE FINITE ELEMENTS
- Enhancement of Near Cloaking for the Full Maxwell Equations
- Cloaking via impedance boundary condition for the 2-D Helmholtz equation
