A new boundary condition solved with B.I.E.M.

Boundary techniques are seen as especially advantageous in cases where interest is concentrated mainly on events in the boundary. This situation is encountered frequently in problems arising from the properties of harmonic functions. It is shown how a boundary condition which differs from the classical condition but is physically sound can be introduced without interfering with the discretization frame of the boundary integral equation method. Whereas the idea is developed in the context of heat conduction in axisymmetric problems, extension to other situations is shown to be straightforward. After describing the method, examples are cited which illustrate the capabilities of modeling a physical problem. One of the examples concerns a thick-walled tube of an orthotropic material whose two ends are at different temperatures.