Grid generation in two dimensions using the complex variable boundary element method
This paper uses an iterative variation of the linear element complex variable boundary element method to generate grid points in two-dimensional simply connected spatial domains. The solution of Laplace's equation is involved, but the boundary element formulation results in a much smaller set of simultaneous equations and the internal grid point distribution can be altered without resolving the elliptic system once the values of the complex potential at the boundaries are fully determined. Moreover, numerical integration is avoided by using complex variables in the formulation. Examples are given to demonstrate the method.
complex variable boundary element method
scientific article; zbMATH DE number 811401
scientific article