NDLI: Investigation on Dual Finite-Element Method in Terms of Scalar Potential Through Interpolation

Content Provider	IEEE Xplore Digital Library
Author	Xiaoyu Xu Zhuoxiang Ren
Copyright Year	1965
Abstract	The complementarity of dual finite-element methods (FEMs), which use Whitney nodal and edge elements on the primal mesh, has been exploited to accelerate convergence of energy related quantities, such as impedances. However, the edge-based dual FEM formulation utilizes degrees-of-freedom in terms of vector potential, and requests prebuilt links between charged domains. It leads to increase in complexity and computation costs. To avoid such complexities, the dual FEM in terms of scalar potential on the dual mesh through interpolation is investigated in this paper. The shape functions are constructed through interpolation founded on barycentric coordinates, like Sibson coordinates. A comparison between different FEMs is performed with electrostatic examples.
Sponsorship	IEEE Magnetics Society
Starting Page	1
Ending Page	4
Page Count	4
File Size	2990905
File Format	PDF
ISSN	00189464
Volume Number	51
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite element analysis Interpolation Electric potential Electrostatics Complexity theory Shape Method of moments scalar potential Barycentric coordinates (BCs) dual finite-element method (FEM) interpolation
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering

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