Augmented formulations for solving Maxwell equations
type: Item
instance of: scholarly article
title: Augmented formulations for solving Maxwell equations
zbMATH Open document ID: 1063.78018
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2005-05-12T00:00:00Z
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 2167991
zbMATH Keywords: Maxwell equations
zbMATH Keywords: Augmented variational formulations
zbMATH Keywords: Lagrange multipliers
author: Patrick jun. Ciarlet
MaRDI profile type: Publication
full work available at URL: j.cma.2004.05.021
OpenAlex ID: W2123791512
cites work: Vector potentials in three-dimensional non-smooth domains
cites work: Solution of axisymmetric Maxwell equations
cites work: Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The singular complement method.
cites work: Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain
cites work: Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
cites work: Resolution of the Maxwell equations in a domain with reentrant corners
cites work: On a finite-element method for solving the three-dimensional Maxwell equations
cites work: Spectral element discretization of the Maxwell equations
cites work: Un résultat de densité pour les équations de Maxwell
cites work: A Singular Field Method for the Solution of Maxwell's Equations in Polyhedral Domains
cites work: On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
cites work: On traces for functional spaces related to Maxwell's equations. II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications
cites work: Inf-sup condition for the 3-D \(P_2\)-iso-\(P_1\) Taylor-Hood finite element; application to Maxwell equations
cites work: Les équations de Maxwell dans un polyèdre: un résultat de densité
cites work: Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien
cites work: Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
cites work: Numerical investigation of a boundary penalization method for Maxwell equations
cites work: An analysis of the Darwin model of approximation to Maxwell’s equations
cites work: Modeling of electromagnetic absorption/scattering problems using \(hp\)-adaptive finite elements
cites work: Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
cites work: Vector potential formulation for magnetostatics and modelling of permanent magnets
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: A Singular Field Method for Maxwell's Equations: Numerical Aspects for 2D Magnetostatics
cites work: Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism
cites work: Q5549989
cites work: SINGULARITIES AND DENSITY PROBLEMS FOR COMPOSITE MATERIALS IN ELECTROMAGNETISM
cites work: Mixed finite elements in \(\mathbb{R}^3\)
cites work: A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
cites work: Edge Elements on Anisotropic Meshes and Approximation of the Maxwell Equations
cites work: An hp‐adaptive finite element method for electromagnetics—part II: A 3D implementation
cites work: \(hp\)-vector finite element method for eigenmode analysis of waveguides
cites work: A local compactness theorem for Maxwell's equations
DOI: 10.1016/J.CMA.2004.05.021
Recommended article: Solution of Maxwell's equations by matrix formulation
Recommended article: New Mixed Elements for Maxwell Equations
Recommended article: An Enhanced Augmented Electric-Field Integral Equation Formulation for Dielectric Objects
Recommended article: A Mixed Method for Approximating Maxwell’s Equations
Recommended article: Solving Maxwell's equations using the ultra weak variational formulation
Recommended article: Q5457722
Recommended article: Q4011865
Recommended article: A coercive bilinear form for Maxwell's equations
Recommended article: Finite Element Methods for Maxwell's Equations
description: scientific article; zbMATH DE number 2167991