Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/80537
Title: High-order interpolation methods for finite-element solved potential distributions in the two-dimensional rectilinear coordinate system
Authors: Khursheed, Anjam 
Issue Date: 1996
Source: Khursheed, Anjam (1996). High-order interpolation methods for finite-element solved potential distributions in the two-dimensional rectilinear coordinate system. Proceedings of SPIE - The International Society for Optical Engineering 2858 : 115-125. ScholarBank@NUS Repository.
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 C 1 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.
Source Title: Proceedings of SPIE - The International Society for Optical Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/80537
ISBN: 0819422460
ISSN: 0277786X
Appears in Collections:Staff Publications

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