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Closed-form expressions for the numerical dispersion and reflection in FEM simulations involving biaxial materials

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3 Author(s)
Mitchell, A. ; Dept. of Commun. & Electron. Eng., R. Melbourne Inst. of Technol., Vic., Australia ; Kokotoff, D.M. ; Austin, M.W.

Closed-form expressions for the numerical errors caused by finite-element discretization of problems involving materials of biaxial permittivity and permeability tensors are developed. In particular, we derive expressions for the numerical dispersion and reflection in both first-order node and edge basis function finite-element formulations in an equilateral triangular mesh. Results using these closed-form expressions are compared to practical numerical simulations. The application of these expressions to the analysis of the performance of the perfectly matched layer boundary is suggested

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Antennas and Propagation, IEEE Transactions on  (Volume:49 ,  Issue: 2 )