Treated in this paper is Laplace's equation with the Neumann condition. Uniform convergence estimation of boundary element methods for this problem was done by Iso . The aim of this paper is to improve the estimates given in  and to show high-order uniform convergence of the boundary element scheme.
Cite this article
Kantaro Hayakawa, Yuusuke Iso, High-order Uniform Convergence Estimation of Boundary Solutions for Laplace's Equation. Publ. Res. Inst. Math. Sci. 27 (1991), no. 2, pp. 333–345DOI 10.2977/PRIMS/1195169841