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

• Autores: Rafael Celorrio Ibáñez, Manuel Rapún Gárate
• Localización: VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001 / coord. por Monique Madaune-Tort, 2003, ISBN 84-96214-04-4, págs. 193-200
• Idioma: español
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• Resumen

  • 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.