Interelement Continuity in the Boundary Element Method

It is well known that homogeneous elliptic field problems may be alternatively posed as infinite systems of boundary integral equations obtained by using a suitable family of kernel functions and integration by parts [1], [2]. A determinate system of non-homogeneous linear algebraic equations is obtained therefrom by discretizing the system, using elements defined after the manner of finite elements and a finite member of Kernel functions [1]. The result is a practical and powerful numerical method for the solution of elliptic field problems which may easily be generalized to rival the finite element method in its range of applicability.