The convergence of even degree spline collocation solution for potential problems in smooth domains of the plane

Summary In this article we derive new error estimates for collocation solution of potential type problems by using even degree smooth splines as trial functions. It turns out that for smooth potentials the assured convergence is of the same order as by using splines of the odd degreed+1. Some numerical examples which conform the theoretical results are presented. Present address: (1. 7. 1988–31. 12. 1988) Department of Mathematics, University of Maryland, College Park, MD 20742, USA