1990IEEE Transactions on MagneticsRequires access

Infinitely many formulations using the magnetic vector potential with the Coulomb gauge for 3D field calculations

T. Morisue

Open publisher page 3 citations

Abstract

Infinitely many formulations using the magnetic vector potential are presented for the 3-D magnetostatic field problem which satisfy the Coulomb gauge and yield the same unique solution. The term 'infinitely-many' stems from the arbitrary nature of one parameter. Several of the formulations are compared numerically for a test problem. Further, the energy functionals corresponding to the formulations are presented for the finite-element method.>

About this research paper

What this paper is about

Infinitely many formulations using the magnetic vector potential are presented for the 3-D magnetostatic field problem which satisfy the Coulomb gauge and yield the same unique solution. The term 'infinitely-many' stems from the arbitrary nature of one parameter. Several of the formulations are compared numerically for a test problem. Further, the energy functionals corresponding to the formulations are presented for the finite-element method.>

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Infinitely many formulations using the magnetic vector potential are presented for the 3-D magnetostatic field problem which satisfy the Coulomb gauge and yield the same unique solution. The term 'infinitely-many' stems from the arbitrary nature of one parameter. Several of the formulations are compared numerically for a test problem. Further, the energy functionals corresponding to the formulations are presented for the finite-element method.>

Key concepts: Vector potential, Physics, Magnetic potential, Magnetic field, Gauge (firearms), Coulomb, Electric potential, Gauge fixing

Related papers

Back to paper searchBrowse research topicsOriginal source
Infinitely many formulations using the magnetic vector potential with the Coulomb gauge for 3D field calculations — Research Paper | ScholarLens