NUMERICAL MAPPING OF ARBITRARY DOMAINS USING SPECTRAL METHODS

In order to maintain spectral accuracy, the grids on which a physical problem is to be solved must also be obtained by spectrally accurate techniques. The purpose of this paper is to describe a method of solving the quasilinear elliptic grid generation equations by spectral techniques both in Euclidean (E2) and Riemannian (R2) spaces. A parametric continuation method is used to generate grids in completely arbitrary domains. © 1993 Academic Press, Inc.