Frequency-explicit approximability estimates for time-harmonic Maxwell's equations

DOI10.1007/s10092-022-00464-7zbMath1490.65263arXiv2105.03393OpenAlexW3163418605MaRDI QIDQ2141350

Patrick Vega, T. Chaumont-Frelet

Publication date: 25 May 2022

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.03393

zbMATH Keywords

finite element methodsMaxwell's equationshigh-order methodspollution effect

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electromagnetic theory (general) (78A25)

Related Items (2)

Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations ⋮ Frequency-Explicit A Posteriori Error Estimates for Discontinuous Galerkin Discretizations of Maxwell’s Equations

Cites Work

• Unnamed Item
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• Mathematical foundations of computational electromagnetism
• Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions
• On the derivation of guaranteed and \(p\)-robust a posteriori error estimates for the Helmholtz equation
• Mixed finite element discretizations of acoustic Helmholtz problems with high wavenumbers
• Wavenumber-explicit \textit{hp}-FEM analysis for Maxwell's equations with transparent boundary conditions
• Efficient implementation of high‐order finite elements for Helmholtz problems
• Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
• Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
• A Posteriori Error Estimation of $hp$-$dG$ Finite Element Methods for Highly Indefinite Helmholtz Problems
• Optimal Error Estimates for Nedelec Edge Elements for Time-Harmonic Maxwell's Equations
• Finite Element Methods for Navier-Stokes Equations
• Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
• A local compactness theorem for Maxwell's equations
• Regularity theorems for Maxwell's equations
• An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
• Finite Element Approximation of Electromagnetic Fields Using Nonfitting Meshes for Geophysics
• Finite Elements II
• Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems
• A Posteriori Error Estimation for Highly Indefinite Helmholtz Problems

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