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Identification of multipoles via boundary measurements

Published online by Cambridge University Press:  21 November 2011

Y.-S. CHUNG ,
J. E. KIM  and
S.-Y. CHUNG
Y.-S. CHUNG
Affiliation:
Department of Mathematics, Yonsei University, Seoul, 120-749, Korea email: ysjung93@hanmail.net
J. E. KIM
Affiliation:
Department of Mathematics, The Ohio State University, Columbus, Ohio, USA email: jkim@math.ohio-state.edu
S.-Y. CHUNG
Affiliation:
Department of Mathematics and Program of Integrated Biotechnology, Sogang University, Seoul 121-742, Korea email: sychung@sogang.ac.kr
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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.

Keywords

Inverse source problemsEEGGeneralized Vandermende Matrices

Information

Type
Papers
Information
European Journal of Applied Mathematics , Volume 23 , Issue 2 , April 2012 , pp. 289 - 313
Copyright
Copyright © Cambridge University Press 2011

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