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A new hierarchical basis with a minimum number of unknowns on a mesh of hexahedra for the T-Ψ edge element eddy current method

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2 Author(s)
O. -M. Midtgard ; Norwegian Univ. of Sci. & Technol., Trondheim, Norway ; G. Sande

A new set of hierarchical hexahedral edge elements is presented. The new elements give up to second-order approximations both for the magnetic field and the current density. For a given polynomial order, they are more economical than the serendipity family of nodal elements. On a given mesh, increasing the polynomial order of the edge element used, improves the accuracy both for local and global quantities, but an element which is first-order complete in both fields is the most economical

Published in:

IEEE Transactions on Magnetics  (Volume:34 ,  Issue: 5 )