Resumen de An integral method for exterior transmision problems with applications to scattering of thermal waves

Rafael Celorrio Ibáñez, Manuel Rapún Gárate

• Integral equation methods are often used to deal with exterior problems of wave propagation. This approach is used here for an exterior problem where a side of an homogeneous opaque heat{conducting material (drilled by a finite number of cylinders made of a different material) is illuminated by a laser beam at constant frequency. By an indirect method for the two{dimensional Helmholtz equation the problem is reduced to a system of integral equations. We propose a Petrov{ Galerkin method with piecewise constant functions to approximate the unknowns on the boundaries (densities). The method is shown to be stable and convergent.