Department of Mathematics

Indian Institute of Science

Bangalore 560 012

 

SEMINAR

 

Speaker

:

Prof. Sergei Pereverzyev
Affiliation : Johann Radon Institute for Computational and Applied Mathematics, Austria
 

Subject Area

:

Mathematics

 

Venue

:

Lecture Hall - I, Dept of Mathematics

 

Time

:

4.00 pm

 

Date  

:

April 8,2008 (Tuesday)

Title

:

The balancing principle for the regularization of elliptic Cauchy problems
Abstract :

EA classical ill-posed elliptic Cauchy problem is discussed. We consider the reconstruction of the Dirichlet trace of the solution at the part of a boundary where no data are available. By natural linearization we transform it into a linear ill-posed operator equation. Discretization is applied as a regularization method (also known as a self-regularization) to obtain a stable approximate solution. Balancing principle as an adaptive strategy is studied to choose an appropriate discretization level without quantitative knowledge of a convergent rate or stability. Numerical tests illustrate theoretical results.
 


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