Convergence analysis of adaptive edge finite element method for variable coefficient time-harmonic Maxwell's equations

DOI10.1016/j.cam.2020.112860zbMath1464.65175OpenAlexW3011070866MaRDI QIDQ1987457

Wei Yang, Hao Wang, Bin He

Publication date: 15 April 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.112860

zbMATH Keywords

time-harmonic Maxwell's equationsAEFEMresidual type posteriori error estimator

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)

Related Items (5)

The a Posteriori Error Estimator of SDG Method for Variable Coefficients Time-Harmonic Maxwell's Equations ⋮ Adaptive finite element method for two-dimensional time-harmonic magnetic induction intensity equations ⋮ Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations ⋮ Design and adaptive finite element simulation of conformal transformation optics devices with isotropic materials ⋮ An adaptive edge finite element method for the Maxwell's equations in metamaterials

Cites Work

• Unnamed Item
• Unnamed Item
• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Mixed finite elements in \(\mathbb{R}^3\)
• A finite element method for approximating the time-harmonic Maxwell equations
• A posteriori error indicators for Maxwell's equations
• Adaptive multilevel methods for edge element discretizations of Maxwell's equations
• Theory and practice of finite elements.
• Singularities of electromagnetic fields in polyhedral domains
• Developing a time-domain finite element method for the Lorentz metamaterial model and applications
• Modeling and analysis of the optical black hole in metamaterials by the finite element time-domain method
• Convergence of adaptive edge finite element methods forH(curl)-elliptic problems
• Finite elements in computational electromagnetism
• Optimal Error Estimates for Nedelec Edge Elements for Time-Harmonic Maxwell's Equations
• Convergence of Adaptive Edge Element Methods for the 3D Eddy Currents Equations
• Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
• Singularities of eddy current problems
• Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations
• On the Efficiency of Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients
• Finite Element Methods for Maxwell's Equations
• A Convergent Adaptive Algorithm for Poisson’s Equation
• Residual based a posteriori error estimators for eddy current computation
• Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations
• An Adaptive Multilevel Method for Time‐Harmonic Maxwell Equations with Singularities
• A posteriori error estimates for Maxwell equations

This page was built for publication: Convergence analysis of adaptive edge finite element method for variable coefficient time-harmonic Maxwell's equations