An Adaptive Finite Element DtN Method for Maxwell’s Equations
DOI10.4208/eajam.2022-289zbMath1527.78012arXiv2202.09203OpenAlexW4378008988MaRDI QIDQ6069450
Gang Bao, Xue Jiang, Mingming Zhang, Xiaokai Yuan, Peijun Li
Publication date: 16 December 2023
Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.09203
Maxwell's equationsa posteriori error estimateadaptive finite element methodtransparent boundary conditionelectromagnetic scattering problemDtN operator
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) Diffraction, scattering (78A45) 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)
Cites Work
- Unnamed Item
- Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis
- Dirichlet-to-Neumann boundary conditions for multiple scattering problems
- The mathematical theory of time-harmonic Maxwell's equations. Expansion-, integral-, and variational methods
- A perfectly matched layer for the absorption of electromagnetic waves
- Inverse acoustic and electromagnetic scattering theory.
- Inverse obstacle scattering for elastic waves in three dimensions
- An adaptive finite element DtN method for the three-dimensional acoustic scattering problem
- An adaptive finite element DtN method for the elastic wave scattering problem
- Convergence of an adaptive finite element DtN method for the elastic wave scattering by periodic structures
- An adaptive finite element method for the wave scattering with transparent boundary condition
- Electromagnetic Scattering by Unbounded Rough Surfaces
- L2-Theory of the Maxwell operator in arbitrary domains
- The Perfectly Matched Layer in Curvilinear Coordinates
- An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures
- An adaptive finite element PML method for the elastic wave scattering problem in periodic structures
- An overfilled cavity problem for Maxwell's equations
- Finite Element Methods for Maxwell's Equations
- Finite Element Approximation of Time Harmonic Waves in Periodic Structures
- Residual based a posteriori error estimators for eddy current computation
- An Adaptive Finite Element DtN Method for the Elastic Wave Scattering Problem in Three Dimensions
- An adaptive edge finite element DtN method for Maxwell’s equations in biperiodic structures
- Numerical Solution of Acoustic Scattering by an Adaptive DtN Finite Element Method
- An Adaptive Multilevel Method for Time‐Harmonic Maxwell Equations with Singularities
- An adaptive perfectly matched layer technique for 3-D time-harmonic electromagnetic scattering problems
- Convergence Analysis of the Perfectly Matched Layer Problems for Time-Harmonic Maxwell's Equations
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
This page was built for publication: An Adaptive Finite Element DtN Method for Maxwell’s Equations
