An integral method for exterior transmision problems with applications to scattering of thermal waves
- Celorrio Ibáñez, Rafael
- Rapún Gárate, Manuel
- Madaune-Tort, Monique (coord.)
Editorial: Prensas de la Universidad de Zaragoza ; Universidad de Zaragoza
ISBN: 84-96214-04-4
Año de publicación: 2003
Páginas: 193-200
Congreso: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (7. 2001. Jaca)
Tipo: Aportación congreso
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.