Abstract
For modeling the vector nature of electromagnetic fields, tangential vector finite elements (TVFEs) overcome most of the shortcomings of node based finite elements. Mixed-order TVFEs offer several advantages over polynomial complete TVFEs and hierarchical TVFEs allow for mixing of different order TVFEs within a computational domain. Lowest order mixed-order TVFEs are widely used for solving electromagnetic problems but this is not the case for higher order mixed-order TVFEs. This paper provides a description of certain mixed-order TVFEs for triangular elements and presents numerical results demonstrating the merits of hierarchical mixed-order TVFEs. It is hoped that the paper will provide insight in the nature of hierarchical mixed-order TVFEs and serve as a rationale for their use.
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© 2000 Springer-Verlag Berlin Heidelberg
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Andersen, L.S., Volakis, J.L. (2000). Hierarchical Mixed-Order Tangential Vector Finite Elements For Traingular Elements. In: Uzunoglu, N.K., Nikita, K.S., Kaklamani, D.I. (eds) Applied Computational Electromagnetics. NATO ASI Series, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59629-2_11
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DOI: https://doi.org/10.1007/978-3-642-59629-2_11
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