1990IEEJ Transactions on Fundamentals and MaterialsOpen access

Finite Element Analysis of Three-Dimensional Linear Electromagnetic Fields for All Frequency Region

Mitsuo Hano

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Abstract

A finite element formulation of full Maxwell's equations in terms of a electromagnetic potential was presented in the previous paper. The magnetic vector potential and the electric scalar potential were approximated by novel vector basis functions and usual scalar basis functions, respectively. In this paper, three numerical examples are carried out. These are a cavity resonance problem, an eddy current problem and a magnetostatic field problem. To obtain unique solutions, the gauge of φ=0 is used in solving the cavity resonance problem and the eddy current problem and the extended Coulomb gauge is used in solving the rnagentostatic field problem. It is found that the eddy current problem can be solved by using only the magnetic vector potential.

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A finite element formulation of full Maxwell's equations in terms of a electromagnetic potential was presented in the previous paper. The magnetic vector potential and the electric scalar potential were approximated by novel vector basis functions and usual scalar basis functions, respectively. In this paper, three numerical examples are carried out. These are a cavity resonance problem, an eddy current problem and a magnetostatic field problem. To obtain unique solutions, the gauge of φ=0 is used in solving the cavity resonance problem and the eddy current problem and the extended Coulomb gauge is used in solving the rnagentostatic field problem. It is found that the eddy current problem can be solved by using only the magnetic vector potential.

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Available abstract

A finite element formulation of full Maxwell's equations in terms of a electromagnetic potential was presented in the previous paper. The magnetic vector potential and the electric scalar potential were approximated by novel vector basis functions and usual scalar basis functions, respectively. In this paper, three numerical examples are carried out. These are a cavity resonance problem, an eddy current problem and a magnetostatic field problem. To obtain unique solutions, the gauge of φ=0 is used in solving the cavity resonance problem and the eddy current problem and the extended Coulomb gauge is used in solving the rnagentostatic field problem. It is found that the eddy current problem can be solved by using only the magnetic vector potential.

Key concepts: Vector potential, Scalar potential, Magnetic potential, Eddy current, Scalar (mathematics), Finite element method, Basis function, Physics

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