On the numerical treatment of heat conduction problem by boundary element and multigrid methods

Abstract EN

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.