Finite Element Methods for Maxwell's Equations
type: Item
instance of: scholarly article
title: Finite Element Methods for Maxwell's Equations
title: Finite element methods for Maxwell’s equations
zbMATH Open document ID: 1024.78009
zbMATH Open document ID: 1478.65130
publication date: 2003-02-16T00:00:00Z
publication date: 2021-07-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/1910.10069
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 78-01
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 78A46
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35Q61
zbMATH DE Number: 1868846
zbMATH DE Number: 7370294
zbMATH Keywords: electromagnetism
zbMATH Keywords: finite elements methods
zbMATH Keywords: scattering
zbMATH Keywords: inverse problems
zbMATH Keywords: mathematical modeling
zbMATH Keywords: Maxwell equations
zbMATH Keywords: time harmonic Maxwell's equations
zbMATH Keywords: conforming edge finite element methods
zbMATH Keywords: discontinuous Galerkin methods
author: Peter Monk
author: Yangwen Zhang
MaRDI profile type: Publication
OpenAlex ID: W3046457476
OpenAlex ID: W1582734821
arXiv ID: 1910.10069
published in: 75 Years of Mathematics of Computation
cites work: An Interior Penalty Finite Element Method with Discontinuous Elements
cites work: Finite element exterior calculus: from Hodge theory to numerical stability
cites work: Multigrid in H(div) and H(curl)
cites work: Mathematical foundations of computational electromagnetism
cites work: Resolution of the Maxwell equations in a domain with reentrant corners
cites work: Finite element approximation of eigenvalue problems
cites work: Fortin operator and discrete compactness for edge elements
cites work: Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
cites work: T -Coercivity for the Maxwell Problem with Sign-Changing Coefficients
cites work: Q4235028
cites work: Remarks on the Discretization of Some Noncoercive Operator with Applications to Heterogeneous Maxwell Equations
cites work: On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
cites work: Error estimates for the Ultra Weak Variational Formulation of the Helmholtz equation
cites work: Discontinuous Galerkin Approximation of the Maxwell Eigenproblem
cites work: hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
cites work: A priori and computable a posteriori error estimates for an HDG method for the coercive Maxwell equations
cites work: A superconvergent HDG method for the Maxwell equations
cites work: Smoothed projections in finite element exterior calculus
cites work: The finite element methods for elliptic problems.
cites work: Superconvergence by $M$-decompositions. Part I: General theory for HDG methods for diffusion
cites work: Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
cites work: Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
cites work: On Stability of Discretizations of the Helmholtz Equation
cites work: A hybridizable discontinuous Galerkin method for the time-harmonic Maxwell equations with high wave number
cites work: Finite element analysis of a time harmonic Maxwell problem with an impedance boundary condition
cites work: Plane wave discontinuous Galerkin methods: Analysis of theh-version
cites work: On the Solution of Time-Harmonic Scattering Problems for Maxwell’s Equations
cites work: Finite elements in computational electromagnetism
cites work: Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations
cites work: Stability results for the time-harmonic Maxwell equations with impedance boundary conditions
cites work: Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version
cites work: A Survey of Trefftz Methods for the Helmholtz Equation
cites work: Interior penalty method for the indefinite time-harmonic Maxwell equations
cites work: Solving Maxwell's equations using the ultra weak variational formulation
cites work: Q3476233
cites work: The mathematical theory of time-harmonic Maxwell's equations. Expansion-, integral-, and variational methods
cites work: Q3733265
cites work: A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell's equation
cites work: An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number
cites work: Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
cites work: A mixed finite element approximation of the Navier-Stokes equations
cites work: A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
cites work: Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations

Finite Element Methods for Maxwell's Equations (cites work)
cites work: Finite Element Methods for Maxwell's Equations

Finite Element Methods for Maxwell's Equations (cites work)
cites work: High-order conforming finite elements on pyramids

Finite Element Methods for Maxwell's Equations (cites work)
cites work: Stabilized interior penalty methods for the time-harmonic Maxwell equations.

Finite Element Methods for Maxwell's Equations (cites work)
cites work: Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems

Finite Element Methods for Maxwell's Equations (cites work)
cites work: Q3253193

Finite Element Methods for Maxwell's Equations (DOI)
DOI: 10.1093/ACPROF:OSO/9780198508885.001.0001

Finite Element Methods for Maxwell's Equations (DOI)
DOI: 10.1090/CONM/754/15143