NDLI: Error in projection of planewaves using various basis functions

Content Provider	IEEE Xplore Digital Library
Author	Fu-Gang Hu Jiming Song
Copyright Year	2008
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA (Fu-Gang Hu; Jiming Song)
Abstract	In this paper, the projection error of RMS in 1D and 2D case is analyzed. The analytical projection error on the infinite meshes are given in closed form for the pulse basis, triangular basis, the second-order basis in 1D case, the divergence-conforming basis on rectangular element and the one-directional triangular element in 2D case. In addition, the projection error is numerically calculated for various basis functions with a finite computational domain. There are good agreements between the analytical and numerical results. It is found the projection error of p-th order 1D basis function is asymptotically proportional to (p+1) power of the size of the element. More results and discussions about the projection errors will be presented at the conference.
Starting Page	1
Ending Page	4
File Size	331885
Page Count	4
File Format	PDF
ISBN	9781424420414
DOI	10.1109/APS.2008.4619717
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-07-05
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite element methods Moment methods Antennas Testing Taylor series Electromagnetic scattering Error analysis
Content Type	Text
Resource Type	Article

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Error in projection of planewaves using various basis functions