The Complex Variable Boundary Element Method or CVBEM has recently bee
n applied to the use of new fractal basis functions for defining a glo
bal trial function on the problem domain. In that recent advance, a to
pic for future research was the need for development of an algorithm t
o construct a global trial function that converges to the true problem
boundary conditions, assumed to be continuous on the boundary. In thi
s paper, such an algorithm for constructing a sequence of fractal basi
s functions is presented. (C) 1998 Elsevier Science Ltd. All rights re
served.