The application of the finite element method in electromagnetics is reviewed. The emphasis is on formulations of 3D electromagnetic problems that are suitable for finite-element analysis and difficulties that have been encountered, such as spurious modes and gauging of vector potentials. Following an introduction to scalar and vector finite elements and a discussion of techniques for handling unbounded domains, the three main areas of application ape covered: magnetic fields, electric fields, and electromagnetic waves. In the analysis of magnetic fields, the various possible potential formulations are explained and compared; magnetic material models are reviewed; and force calculation techniques are summarized. For electric fields complications arise when the relationship between electric field and charge movement is not simple: several different cases are considered. Electromagnetic wave problems are of two types: eigenvalue (resonant cavities and waveguides) and deterministic (radiation and scattering). The principle difficulty here is the occurrence of spurious (non-physical) modes, which can affect both types of problem. The reasons for spurious modes and the available remedies are outlined.
%0 Journal Article
%1 Webb_1995_FEM
%A Webb, J P
%D 1995
%I IOP Publishing
%J Reports on Progress in Physics
%K Finite_Element electrostatic simulation
%N 12
%P 1673--1712
%R 10.1088/0034-4885/58/12/002
%T Application of the finite-element method to electromagnetic and electrical topics
%V 58
%X The application of the finite element method in electromagnetics is reviewed. The emphasis is on formulations of 3D electromagnetic problems that are suitable for finite-element analysis and difficulties that have been encountered, such as spurious modes and gauging of vector potentials. Following an introduction to scalar and vector finite elements and a discussion of techniques for handling unbounded domains, the three main areas of application ape covered: magnetic fields, electric fields, and electromagnetic waves. In the analysis of magnetic fields, the various possible potential formulations are explained and compared; magnetic material models are reviewed; and force calculation techniques are summarized. For electric fields complications arise when the relationship between electric field and charge movement is not simple: several different cases are considered. Electromagnetic wave problems are of two types: eigenvalue (resonant cavities and waveguides) and deterministic (radiation and scattering). The principle difficulty here is the occurrence of spurious (non-physical) modes, which can affect both types of problem. The reasons for spurious modes and the available remedies are outlined.
@article{Webb_1995_FEM,
abstract = {The application of the finite element method in electromagnetics is reviewed. The emphasis is on formulations of 3D electromagnetic problems that are suitable for finite-element analysis and difficulties that have been encountered, such as spurious modes and gauging of vector potentials. Following an introduction to scalar and vector finite elements and a discussion of techniques for handling unbounded domains, the three main areas of application ape covered: magnetic fields, electric fields, and electromagnetic waves. In the analysis of magnetic fields, the various possible potential formulations are explained and compared; magnetic material models are reviewed; and force calculation techniques are summarized. For electric fields complications arise when the relationship between electric field and charge movement is not simple: several different cases are considered. Electromagnetic wave problems are of two types: eigenvalue (resonant cavities and waveguides) and deterministic (radiation and scattering). The principle difficulty here is the occurrence of spurious (non-physical) modes, which can affect both types of problem. The reasons for spurious modes and the available remedies are outlined.},
added-at = {2021-04-10T18:49:32.000+0200},
author = {Webb, J P},
biburl = {https://www.bibsonomy.org/bibtex/2b6133e917b73cbc6c9a3673b835eca21/ursg},
doi = {10.1088/0034-4885/58/12/002},
interhash = {bec91f71565033792b0581095a177c66},
intrahash = {b6133e917b73cbc6c9a3673b835eca21},
journal = {Reports on Progress in Physics},
keywords = {Finite_Element electrostatic simulation},
month = dec,
number = 12,
pages = {1673--1712},
publisher = {{IOP} Publishing},
timestamp = {2021-04-10T18:49:32.000+0200},
title = {Application of the finite-element method to electromagnetic and electrical topics},
volume = 58,
year = 1995
}