This study presents the application of the Boundary Element Method (BEM) to spherical and radome geometries. The boundary of the solution domain was discretized by using both linear and quadratic elements and the validity of the results were compared against other analytical and numerical methods.Several improvements to the BEM have been presented. These include the efficient evaluation of the singular integrals where new methods have been implemented and compared with other schemes. Improvement is also shown by the implementation of the
semi-continuous elements to solve the well known limitation of the Corner Problems present in the BEM. Exhaustive numerical experimentation is carried out to establish the
optimum collocation point for the semi-continuous elements and to link this to the quadrature rule used for the integration of that element. The present study also includes the limitations of the BEM in applications involving geometries of long and thin sections. The study shows in detail the circumstances under which accurate results can be expected in the BEM. In this case, the emphasis is placed on
the element size and the section thickness. A relationship linking these two parameters in the control of the accuracy of the BEM results is also established. For the surface stresses and strains of the domain, a detailed implementation of a natural cubic spline is illustrated which greatly improved these surface results
