EXPANDING THE CVBEM APPROXIMATION IN A SERIES

Citation
Tv. Hromadka et Rj. Whitley, EXPANDING THE CVBEM APPROXIMATION IN A SERIES, Applied numerical mathematics, 11(6), 1993, pp. 509-516
Citations number
3
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
01689274
Volume
11
Issue
6
Year of publication
1993
Pages
509 - 516
Database
ISI
SICI code
0168-9274(1993)11:6<509:ETCAIA>2.0.ZU;2-D
Abstract
In the past, the CVBEM (complex variable boundary element method) has been approached as a collocation problem or by least squares. In this work, the CVBEM analog is redeveloped as a series expansion of nodal p oint functions with unknown nodal point values as the coefficients. Th is series expansion provides further insight into the theoretical and approximation aspects of the CVBEM. Applications demonstrate the utili ty of the CVBEM as a computational approach to solving two-dimensional potential problems involving Laplace and Poisson equations.