Wavenumber-explicit \textit{hp}-FEM analysis for Maxwell's equations with transparent boundary conditions
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Publication:2658552
DOI10.1007/s10208-020-09452-1zbMath1460.35085arXiv1803.01619OpenAlexW3103895834MaRDI QIDQ2658552
Publication date: 23 March 2021
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.01619
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)
Related Items (9)
Frequency-explicit approximability estimates for time-harmonic Maxwell's equations ⋮ Frequency-Explicit A Posteriori Error Estimates for Finite Element Discretizations of Maxwell's Equations ⋮ A simple proof that the \textit{hp}-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation ⋮ Optimal convergence rates in L2 for a first order system least squares finite element method ⋮ At the interface between semiclassical analysis and numerical analysis of wave scattering problems. Abstracts from the workshop held September 25 -- October 1, 2022 ⋮ Frequency-Explicit A Posteriori Error Estimates for Discontinuous Galerkin Discretizations of Maxwell’s Equations ⋮ Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number ⋮ Heterogeneous Multiscale Method for the Maxwell equations with high contrast ⋮ On commuting $p$-version projection-based interpolation on tetrahedra
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