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Some problems involve eddy currents developed in thin skin effect depths and a numerical analysis, based on the classical finite element method, is extremely laborious and expensive. Although such situations lead to operations concerning the linear part of the material characteristics, the related geometries are not, usually, simple enough to permit an analytical solution. The present work is based on a new type of element enabling efficient modeling in such cases. It combines the increased accuracy and speed of analytical solutions for large subdomains, a reduced number of unknowns and the advantages of functional minimization procedures.

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