Author(s)

T.V. Hromadka II & R.J. Whitley

Abstract

Expansion of the CVBEM into a series using intelligent fractals (IFs) T.V. Hromadka II", R.J. Whitley^ "Department of Mathematics, California State ^Department of Mathematics, University of California, Irvine, CA 92717, USA ABSTRACT In this paper, the development of triangular fractals that geometrically sum into an area whose boundary is a function, of a specific type, is used to expand the Complex Variable Boundary Element Method (or CVBEM) into a series. The entire approximation effort can be written as a sum of Cauchy integrals of incremental changes in basis functions. BACKGROUND The Complex Variable Boundary Element Method, or CVBEM, has been the subject of several papers and books (e.g., Hromadka and Lai, 1987; Hromadka, 1993). The basis of the CVBEM is the use of the Cauchy integal equation to develop approximations of two-dimensional boundary

Keywords