The STUDIA UNIVERSITATIS BABE┼×-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

 
       
         
    STUDIA MATHEMATICA - Issue no. 1 / 2016  
         
  Article:   CONVERGENCE OF THE NEUMANN SERIES FOR A HELMHOLTZ-TYPE EQUATION.

Authors:  .
 
       
         
  Abstract:  We pursue a constructive solution to the Robin problem of a Helmholtz-type equation in the form of a single layer potential. This representation method leads to a boundary integral equation. We study the problem on a bounded planar domain of class C2. We prove the convergence of the Neumann series of iterations of the layer potential operators to the solution of the boundary integral equation. This study is inspired by several recent papers which cover the iteration techniques. In [7], [8], [9], D. Medkova obtained results regarding the successive approximation method for Neumann, Robin and transmission problems.

Mathematics Subject Classification (2010): 76D10, 35J05, 81Q05, 65N38.

Keywords: Helmholtz equation, Robin problem, single layer potential, integral equation method, successive approximation.
 
         
     
         
         
      Back to previous page