Discrete compactness and the approximation of Maxwell's equations in \(\mathbb{R} ^3\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 1035.65131
DOI: 10.1090/S0025-5718-00-01229-1
published in: Mathematics of Computation
publication date: 2001-02-19T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N25
zbMATH DE Number: 1566116
zbMATH Keywords: finite element methods
zbMATH Keywords: discrete compactness
zbMATH Keywords: eigenvalues
zbMATH Keywords: error estimates
author: Peter Monk
author: Leszek Demkowicz
MaRDI profile type: Publication
cites work: An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations
cites work: Q5635885
cites work: Q4538004
cites work: On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
cites work: The Analysis of Multigrid Algorithms with Nonnested Spaces or Noninherited Quadratic Forms
cites work: A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
cites work: Q3837833
cites work: Asymptotic convergence in finite and boundary element methods. I: Theoretical results
cites work: Modeling of electromagnetic absorption/scattering problems using \(hp\)-adaptive finite elements
cites work: Incompressible Finite Element Methods for Navier-Stokes Equations with Nonstandard Boundary Conditions in R 3
cites work: Finite element approximation of the Navier-Stokes equations
cites work: Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
cites work: A New Nonconforming Finite Element Method for the Computation of Electromagnetic Guided Waves. I: Mathematical Analysis
cites work: An isomorphic property of two Hilbert spaces appearing in electromagnetism: Analysis by the mixed formulation
cites work: Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism
cites work: Q3476233
cites work: Linear integral equations
cites work: On the validity of Friedrichs' inequalities.
cites work: Q3733265
cites work: Eigenvalue Approximation by a Mixed Method for Resonant Inhomogeneous Cavities with Metallic Boundaries
cites work: A finite element method for approximating the time-harmonic Maxwell equations
cites work: Mixed finite elements in \(\mathbb{R}^3\)
cites work: Éléments finis mixtes incompressibles pour l'équation de Stokes dans \(R^ 3\).
cites work: A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
cites work: Spectral Approximation for Compact Operators
cites work: An hp‐adaptive finite element method for electromagnetics—part II: A 3D implementation
cites work: An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
cites work: \(hp\)-adaptive finite elements in electromagnetics
full work available at URL: s0025-5718-00-01229-1
OpenAlex ID: W1998040449
title: Discrete compactness and the approximation of Maxwell's equations in \(\mathbb{R} ^3\)
description: scientific article