In this work we consider the boundary integral equation describing the
steady state heat conduction taking place in three dimensional enclosure
geometries. For the numerical realization of the Fredholm integral equation,
we use the boundary element method based on the Galerkin weighted
residuals method. Consequently, converting the original integral equation
into a set of algebraic equations. We apply the multigrid iterations to solve
the system of linear equations. To demonstrate the efficiency of this iterative
scheme, we construct numerical example.
Keywords: Heat conduction, Fredholm integral equation, Boundary
element method, Multigrid iterations.