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Superconvergence of the orthogonal spline collocation solution of Poisson's equation

✍ Scribed by Bernard Bialecki

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 417 KB
Volume: 15
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199905)15:3<285::aid-num2>3.0.co;2-1

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✦ Synopsis

Superconvergence phenomena have been observed numerically in the piecewise Hermite bicubic orthogonal spline collocation solution of Poisson's equation on a rectangle. The purpose of this article is to demonstrate theoretically the superconvergent fourth-order accuracy in the first-order partial derivatives of the collocation solution at the partition nodes.

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