European Journal of Applied Mathematics

Table of Contents - April 2012 - Volume 23, Issue 02  

Papers

Identification of multipoles via boundary measurements

Y.-S. CHUNGa1, J. E. KIMa2 and S.-Y. CHUNGa3

a1 Department of Mathematics, Yonsei University, Seoul, 120-749, Korea email: ysjung93@hanmail.net

a2 Department of Mathematics, The Ohio State University, Columbus, Ohio, USA email: jkim@math.ohio-state.edu

a3 Department of Mathematics and Program of Integrated Biotechnology, Sogang University, Seoul 121-742, Korea email: sychung@sogang.ac.kr

Abstract

This paper provides an algorithm for identifying the multipoles of a meromorphic function from the boundary measurements, which can be applied to inverse source problems for a Poisson equation to reconstruct its source such as linear combination of mono and dipolar point sources. After establishing an algorithm that allows to identify the number, the locations and the moments of poles, we provide a stability estimate of the algorithm under the measurement error.

(Received July 07 2008)

(Revised October 13 2011)

(Accepted October 13 2011)

(Online publication November 21 2011)

Key words:

  • Inverse source problems;
  • EEG;
  • Generalized Vandermende Matrices