Wavenumber-explicit \textit{hp}-FEM analysis for Maxwell's equations with impedance boundary conditions

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Maxwell equations (35Q61)

Cites Work

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Universal extension for Sobolev spaces of differential forms and applications
On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains
Mixed finite elements in $\mathbb{R}^3$
NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions
$hp$-finite element methods for singular perturbations
On traces for $\mathbf H(\text{curl},\Omega)$ in Lipschitz domains.
On superconvergence of Runge-Kutta convolution quadrature for the wave equation
Wavenumber-explicit convergence of the $hp$-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients
Frequency-explicit approximability estimates for time-harmonic Maxwell's equations
FEM-BEM mortar coupling for the Helmholtz problem in three dimensions
Mixed finite element discretizations of acoustic Helmholtz problems with high wavenumbers
General DG-methods for highly indefinite Helmholtz problems
Wavenumber-explicit \textit{hp}-FEM analysis for Maxwell's equations with transparent boundary conditions
Finite element analysis of a time harmonic Maxwell problem with an impedance boundary condition
Stability results for the time-harmonic Maxwell equations with impedance boundary conditions
On Stability of Discretizations of the Helmholtz Equation
Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering
An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number
Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
Wavenumber-Explicit $hp$-BEM for High Frequency Scattering
Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions
Mapping Properties of Combined Field Helmholtz Boundary Integral Operators
7. Discrete regular decompositions of tetrahedral discrete 1-forms
9. The time-harmonic Maxwell equations with impedance boundary conditions in polyhedral domains
Finite elements in computational electromagnetism
Maxwell’s Equations: Continuous and Discrete
A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
Optimal Error Estimates for Nedelec Edge Elements for Time-Harmonic Maxwell's Equations
Vector potentials in three-dimensional non-smooth domains
Finite Element Approximation of Electromagnetic Fields Using Nonfitting Meshes for Geophysics
Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number
Finite Element Methods for Maxwell's Equations
Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems
An Absolutely Stable Discontinuous Galerkin Method for the Indefinite Time-Harmonic Maxwell Equations with Large Wave Number
Heterogeneous Multiscale Method for the Maxwell equations with high contrast
On commuting $p$-version projection-based interpolation on tetrahedra
Dispersive properties of high–order Nédélec/edge element approximation of the time–harmonic Maxwell equations
Remarks on the Discretization of Some Noncoercive Operator with Applications to Heterogeneous Maxwell Equations
Inverse acoustic and electromagnetic scattering theory
Acoustic and electromagnetic equations. Integral representations for harmonic problems
Convergence analysis of a hp‐finite element approximation of the time‐harmonic Maxwell equations with impedance boundary conditions in domains with an analytic boundary
Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method

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