Geometrical representation and integration in BIE analysis

  title={Geometrical representation and integration in BIE analysis},
  author={S. P. Walker},
Boundary representation by straight lines and circular arcs is described, and the error introduced through the common representation of circular arc boundaries by quadratic geometrical shape functions is investigated. This error is shown to be in some cases the major contributor to the total error. An even more significant advantage of exact boundary representation is that it permits many of the required integrations to be performed analytically, rather than by using Gaussian quadrature. For… CONTINUE READING