A comparative study of magnetostatics using three-field and conventional vector potential formulations

The three-field finite element formulation for electromagnetics was proposed as an alternative to the existing vector potential formulations. In the formulation, three fields, that is (i) the vector potential, (ii) the divergence of the vector potential and (iii) a scalar variable which is adjoint t...

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Published inIEEE transactions on magnetics Vol. 33; no. 2; pp. 1243 - 1246
Main Authors Nishiguchi, I., Matsuzawa, H., Sasaki, I.
Format Journal Article
LanguageEnglish
Published IEEE 01.03.1997
Subjects
Boundary conditions
Convergence
Current density
Equations
Finite element methods
Magnetic flux
Magnetostatics
Mechanical systems
Permeability
Systems engineering and theory
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Abstract The three-field finite element formulation for electromagnetics was proposed as an alternative to the existing vector potential formulations. In the formulation, three fields, that is (i) the vector potential, (ii) the divergence of the vector potential and (iii) a scalar variable which is adjoint to (ii), are interpolated independently and the imposition of the gauge condition can be relaxed. A comparative study of magnetostatic problems is presented which includes the calculations by conventional vector potential formulations using second order nodal elements. It is shown that the three-field formulation gives better results than conventional vector potential formulations with and without gauging.
AbstractList The three-field finite element formulation for electromagnetics was proposed as an alternative to the existing vector potential formulations. In the formulation, three fields, that is (i) the vector potential, (ii) the divergence of the vector potential and (iii) a scalar variable which is adjoint to (ii), are interpolated independently and the imposition of the gauge condition can be relaxed. A comparative study of magnetostatic problems is presented which includes the calculations by conventional vector potential formulations using second order nodal elements. It is shown that the three-field formulation gives better results than conventional vector potential formulations with and without gauging.
The three-field finite element formulation for electromagnetics was proposed as an alternative to the existing vector potential formulations. In the formulation, three fields, that is (i) the vector potential, (ii) the divergence of the vector potential and (iii) a scalar variable which is adjoint to (ii), are interpolated independently and the imposition of the gauge condition can be relaxed. A comparative study of magnetostatic problems is presented which includes the calculations by conventional vector potential formulations using second order nodal elements. It is shown that the three-field formulation gives better results than conventional vector potential formulations with and without gauging
Author Nishiguchi, I.
Sasaki, I.
Matsuzawa, H.
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10.1109/20.497323
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  doi: 10.1109/TMAG.1981.1061587
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  article-title: three-field formulation and its application on magnetostatic problems
  publication-title: presented at ISEM Cardiff
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  doi: 10.1109/TPAS.1984.318633
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  doi: 10.1063/1.330372
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  publication-title: The Finite Element Method in Electromagnetics
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Snippet The three-field finite element formulation for electromagnetics was proposed as an alternative to the existing vector potential formulations. In the...
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SubjectTerms Boundary conditions
Convergence
Current density
Equations
Finite element methods
Magnetic flux
Magnetostatics
Mechanical systems
Permeability
Systems engineering and theory
Title A comparative study of magnetostatics using three-field and conventional vector potential formulations
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