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Mixed formulations for finite element analysis of magnetostatic and electrostatic problems

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Abstract

This paper presents some mixed formulations for finite element analysis of magnetostatic and electrostatic problems. We employ the magnetic and electric fields as fundamental unknowns instead of the vector potential and the scalar potential, and the proposed approach appears to be desirable for three-dimensional finite element analyses. We also give brief comments on the use of the vector potential for the magnetostatic problem.

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Kikuchi, F. Mixed formulations for finite element analysis of magnetostatic and electrostatic problems. Japan J. Appl. Math. 6, 209–221 (1989). https://doi.org/10.1007/BF03167879

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  • DOI: https://doi.org/10.1007/BF03167879

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