\(\mathbf H\)-based \(\mathbf A\)-\(\phi\) approaches of approximating eddy current problem by way of solving different systems inside and outside the conductor
type: Item
instance of: scholarly article
title: \(\mathbf H\)-based \(\mathbf A\)-\(\phi\) approaches of approximating eddy current problem by way of solving different systems inside and outside the conductor
zbMATH Open document ID: 1061.78013
DOI: 10.1016/S0096-3003(03)00754-9
author: Tong Kang
author: Changfeng Ma
author: Guoping Liang
published in: Applied Mathematics and Computation
publication date: 2004-10-01T00:00:00Z
review text: This paper is essentially devoted to the study of the basic model of the eddy current problem. There are developed both a fully discrete coupled scheme and a fully discrete decoupled scheme in a bounded domain. The corresponding error estimates are also established by the authors. Finally, the discussion is extended to the case of unbounded domains, and the framework is based on the coupling method and on the nonoverlapping domain decomposition method.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 2105517
zbMATH Keywords: magnetic field
zbMATH Keywords: finite element approximation
zbMATH Keywords: natural boundary reduction
zbMATH Keywords: error estimates
zbMATH Keywords: eddy current problem
MaRDI profile type: Publication
cites work: Q3210095
cites work: A Justification of Eddy Currents Model for the Maxwell Equations
cites work: The computation of eddy-currents, in dimension 3, by using mixed finite elements and boundary elements in association
cites work: Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
cites work: Q4162607
cites work: Fully discrete finite element approaches for time-dependent Maxwell's equations
cites work: A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
cites work: Symmetric Coupling for Eddy Current Problems
cites work: Q4000465
cites work: Analysis of a Finite Element Method for Maxwell’s Equations
cites work: Mixed finite elements in \(\mathbb{R}^3\)
cites work: Preconditioning of the second-kind boundary integral equations for 3D eddy current problems
cites work: Preconditioning the Poincaré-Steklov operator by using Green's function
cites work: Q4409170
cites work: Q4718708
full work available at URL: s0096-3003(03)00754-9
OpenAlex ID: W2080282435
description: scientific article; zbMATH DE number 2105517