Journal of Mathematical Sciences

, Volume 155, Issue 3, pp 456–460 | Cite as

The point source field near a concave boundary



A new representation for the field emitted by a short-wave source placed near a concave boundary is obtained by the hybrid method. A Dirichlet problem is considered. The representation obtained provides an efficient algorithm for numerical experiments. Bibliography: 2 titles.


Russia Numerical Experiment Point Source Dirichlet Problem Hybrid Method 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    V. B. Philippov, “Diffraction by a nonplanar screen,” Wave Motion, 3, 78–81 (1981).CrossRefGoogle Scholar
  2. 2.
    V. B. Philippov, “On a method of calculating the point source field in a waveguide,” Zap. Nauchn. Semin. LOMI, 99, 115–130 (1980).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.St.Petersburg Department of the Steklov Mathematical InstituteSt.PetersburgRussia

Personalised recommendations