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

Mitchell, A, Kokotoff, DM and Austin, M 2001, 'Closed-form expressions for the numerical dispersion and reflection in FEM simulations involving biaxial materials', IEEE Transactions on Antennas and Propagation, vol. 49, no. 2, pp. 158-164.


Document type: Journal Article
Collection: Journal Articles

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Title Closed-form expressions for the numerical dispersion and reflection in FEM simulations involving biaxial materials
Author(s) Mitchell, A
Kokotoff, DM
Austin, M
Year 2001
Journal name IEEE Transactions on Antennas and Propagation
Volume number 49
Issue number 2
Start page 158
End page 164
Total pages 6
Publisher IEEE
Abstract 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
Subject Microwave and Millimetrewave Theory and Technology
Keyword(s) finite-element methods
numerical errors
perfectly matched layer (PML)
electromagnetics and antennas
DOI - identifier 10.1109/8.914259
Copyright notice © 2001 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
ISSN 0018-926X
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