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Proceedings Paper

High-order interpolation methods for finite-element solved potential distributions in the two-dimensional rectilinear coordinate system
Author(s): Anjam Khursheed
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Paper Abstract

This paper compares the accuracy of three high order interpolation methods to drive spatial derivative information from finite element meshes in the 2D rectilinear coordinate system. These methods involve using a C1 triangle interpolant, spline/hermite cubic interpolation, and a local polynomial function fit. 2D electric potential distributions are analyzed for a test example on which the radial electric field is evaluated at scattered points in a domain composed of block regions. The results show that of the methods considered, a local polynomial expansion suing basis functions which satisfy Laplace's equation is the most accurate. The better accuracy of this method however, can only be obtained for potential distributions that have a low degree of discretization noise at their mesh nodes.

Paper Details

Date Published: 25 October 1996
PDF: 11 pages
Proc. SPIE 2858, Charged-Particle Optics II, (25 October 1996); doi: 10.1117/12.255503
Show Author Affiliations
Anjam Khursheed, National Univ. of Singapore (Singapore)

Published in SPIE Proceedings Vol. 2858:
Charged-Particle Optics II
Eric Munro, Editor(s)

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