Solving time-harmonic scattering problems based on the pole condition II: Convergence of the PML method Academic Article uri icon


MeSH Major

  • Cell Transformation, Viral
  • Oncogenes
  • Receptors, Cell Surface


  • In this paper we study the PML method for Helmholtz-type scattering problems with radially symmetric potential. The PML method consists of surrounding the computational domain with a perfectly matched sponge layer. We prove that the approximate solution obtained by the PML method converges exponentially fast to the true solution in the computational domain as the thickness of the sponge layer tends to infinity. This is a generalization of results by Lassas and Somersalo based on boundary integral equation techniques. Here we use techniques based on the pole condition instead. This makes it possible to treat problems without an explicitly known fundamental solution.

publication date

  • May 28, 2004



  • Academic Article


Digital Object Identifier (DOI)

  • 10.1137/S0036141002406485

Additional Document Info

start page

  • 547

end page

  • 560


  • 35


  • 3