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Efficient analysis of planar microwave circuits with mixed-order prism vector finite macroelements. (English) Zbl 1154.78008

In this paper it is introduced a new concept of mixed-order prism macroelement, suitable for electromagnetic simulations of planar-layered structures. The macroelement follows the principles of tangential Whitney elements but combines first-order variation on the transverse directions and a higher-order variation in the longitudinal direction. Such a configuration allows the use of a two-dimensional mesh generation for the geometric description of the planar structure, where the third dimension is accounted for using a higher-order variation. The numerical validity and consistency of the proposed elements, as well as applications to planar structures using simple two-dimensional mesh generators, are also provided in the present paper.

MSC:

78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
78A40 Waves and radiation in optics and electromagnetic theory
78A50 Antennas, waveguides in optics and electromagnetic theory
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