An analysis of the eddy current problem by the least-squares finite element in 2-D
type: Item
instance of: scholarly article
title: An analysis of the eddy current problem by the least-squares finite element in 2-D
zbMATH Open document ID: 0790.65103
DOI: 10.1016/0096-3003(94)90104-X
author: Xiaoqing Xiang
author: Jianshi Li
author: Ching-Lung Chang
published in: Applied Mathematics and Computation
publication date: 1994-06-27T00:00:00Z
review text: The authors discuss an analysis of the least squares finite element method for a steady electromagnetic field in two dimensions. The analysis shows that regular finite element spaces with piecewise linear polynomials can be choosen to represent the magnetic field strength \(H\) and the conducted electric density \(J\) (the analyzed problem is modelled by the Maxwell equations). The error of the numerical results in \(H_ 1\)-norm is studied.
reviewed by: Laura Iulia Aniţa
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 519655
zbMATH Keywords: least squares finite element method
zbMATH Keywords: electromagnetic field
zbMATH Keywords: magnetic field
zbMATH Keywords: Maxwell equations
MaRDI profile type: Publication
cites work: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
cites work: A least-squares finite element method for the Helmholtz equation
cites work: An error analysis of least-squares finite element method of velocity- pressure-vorticity formulation for Stokes problem
cites work: Least-squares finite element method for fluid dynamics
description: scientific article; zbMATH DE number 519655