ABSTRACT

The theoretical formulation and numerical implementation can be extended in a straightforward fashion to encompass systems of coupled differential equations for vector unknowns. The boundary-integral formulation involves the familiar sequence of six steps: establish a reciprocal relation; introduce the Green’s functions; develop the boundary-integral representation; derive boundary-integral equations; generate and solve linear systems of equations by collocation or Galerkin projection. Inhomogeneous, nonlinear, and time-dependent equations can be solved by the generalized boundary-integral methods discussed in Chapter 6.