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

Authors
Bialecki, B
Citation
B. Bialecki, Superconvergence of the orthogonal spline collocation solution of Poisson's equation, NUMER M P D, 15(3), 1999, pp. 285-303
Citations number
9
Categorie Soggetti
Engineering Mathematics
Journal title
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
0749159X → ACNP
Volume
15
Issue
3
Year of publication
1999
Pages
285 - 303
Database
ISI
SICI code
0749-159X(199905)15:3<285:SOTOSC>2.0.ZU;2-3
Abstract
Superconvergence phenomena have been observed numerically in the piecewise Hermite bicubic orthogonal spline collocation solution of Poisson's equatio n on a rectangle. The purpose of this article is to demonstrate theoretical ly the superconvergent fourth-order accuracy in the first-order partial der ivatives of the collocation solution at the partition nodes. (C) 1999 John Wiley & Sons, Inc.