Galerkin Tensor and Transformation of Body Force Integral

Abstract

This chapter discusses the way in which the body force integral in Equ.(2.20) and (2.35) can be treated, i. e., integrals of type,

$$ {B_i} = \int_\Omega {u_{ij}^*{\mkern 1mu} {b_j}{\mkern 1mu} d\Omega } $$

(3.1)

We shall begin by introducing a procedure for transforming the body force integral originally due to Danson [28], then present the Galerkin tensor corresponding to the half plane solution and finally propose a procedure for transforming the integral to the boundary in the half plane.