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25 October 1996 High-order interpolation methods for finite-element solved potential distributions in the two-dimensional rectilinear coordinate system
Anjam Khursheed
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Proceedings Volume 2858, Charged-Particle Optics II; (1996) https://doi.org/10.1117/12.255503
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States
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.
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Anjam Khursheed "High-order interpolation methods for finite-element solved potential distributions in the two-dimensional rectilinear coordinate system", Proc. SPIE 2858, Charged-Particle Optics II, (25 October 1996); https://doi.org/10.1117/12.255503
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