%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 }