The complex polynomial method with a least-squares fit to boundary conditions
We present a new application of the complex polynomial method variant of the complex variable boundary element method. Instead of fitting the boundary conditions using collocation points, we minimize the error of fit in the l2 l 2 norm to minimize the least-squares error. This approach greatly enhances the utility and efficiency of the method, allowing us to apply the method to a variety of engineering problems.
complex polynomial method complex variables complex variable boundary element method partial differential equations boundary value problems laplace equation