Home > Papers

 
 
Tikhonovregularization method for a Cauchy problem for the Helmholtz equation in multiple dimensions-----
Zhao Qiuli #,Fu ChuLi *
School of Mathematics and Statistics,Lanzhou University
*Correspondence author
#Submitted by
Subject:
Funding: the NNSF of China,the NSF of Gansu,Lanzhou University（No.No.10671085,No.3ZS051-A25-015,No.Lzu05-05）
Opened online:24 January 2008
Accepted by: none
Citation: Zhao Qiuli,Fu ChuLi .Tikhonovregularization method for a Cauchy problem for the Helmholtz equation in multiple dimensions-----[OL]. [24 January 2008] http://en.paper.edu.cn/en_releasepaper/content/18320
 
 
This paper deals with a Cauchy problem for the Helmholtz equa- tion in multiple dimensions.We want to obtain the solution u on the boundary z = 0 from the given function g ontheside z = 1. This problem is an ill-posed problem:a small perturbation in the data g, may cause dramatically large errors in the solution.Now the results available in the literature are maily devoted to the case of two or three- dimensional,and in most cases the stability theory and convergence proofs on the boundary have not been generalized accordingly.The present paper remedies this by a Tikhonov regularization method and the stability estimate on the boundary has obtained.Numrical tests of the method shows that the proposed method works well.
Keywords:inverse problems,Helmholtz equation,Tikhonov regularization,error estimate-
 
 
 

For this paper
  • ● PDF (0B)
  • ● Revision 0 　　
  • ● Print this paper
  • ● Recommend this paper to a friend
  • ● Add to my favorite list

    Saved Papers

    Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags
Add yours

Related Papers

Statistics
PDF Downloaded 398
Bookmarked 0
Recommend 5
Comments Array
Submit your papers