Numerical Integration for Three Dimensional Problems

Abstract

Previous chapters have shown that as more advanced applications of the Boundary Element Method are developed, more attention must be paid to the problem of carrying out accurate evaluation of the singular integrals. Thus, when curved elements were used in two dimensional problems, as in Chapter 5, methods which were partly or entirely numerical were essential. In this chapter it will be seen that numerical methods of integration are also essential for the isoparametric formulation of three dimensional problems. The present chapter is devoted to appropriate numerical methods, particularly for the treatment of singular integrands.