Design and adaptive finite element simulation of conformal transformation optics devices with isotropic materials

DOI10.1016/J.CAMWA.2023.05.026OpenAlexW4379982853MaRDI QIDQ6135132

Bin He, Hao Wang, Wei Yang

Publication date: 23 August 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.05.026

zbMATH Keywords

error analysisadaptive finite element simulationbending waveguidecarpet cloaking devicessegmentation design

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25)

Cites Work

• Unnamed Item
• An adaptive edge finite element method for electromagnetic cloaking simulation
• Finite element approximation of the Navier-Stokes equations
• An adaptive edge finite element method for the Maxwell's equations in metamaterials
• Mixed finite elements in \(\mathbb{R}^3\)
• A finite element method for approximating the time-harmonic Maxwell equations
• On the existence and convergence of the solution of PML equations
• The material parameter design and finite element simulation of the quadrilateral thermal cloak device
• Multigrid in H(div) and H(curl)
• Convergence analysis of adaptive edge finite element method for variable coefficient time-harmonic Maxwell's equations
• Design and finite element simulation of information-open cloaking devices
• Mathematical Analysis and Time-Domain Finite Element Simulation of Carpet Cloak
• Optical Conformal Mapping
• Controlling Electromagnetic Fields
• Finite elements in computational electromagnetism
• A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
• A simple error estimator and adaptive procedure for practical engineerng analysis
• A local compactness theorem for Maxwell's equations
• A‐posteriori error estimates for the finite element method
• Vector potentials in three-dimensional non-smooth domains
• Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
• Finite Element Methods for Maxwell's Equations
• A Convergent Adaptive Algorithm for Poisson’s Equation

This page was built for publication: Design and adaptive finite element simulation of conformal transformation optics devices with isotropic materials