메뉴 건너뛰기




Volumn 18, Issue 4, 2010, Pages 567-583

The method of fundamental solutions for the inverse conductivity problem

Author keywords

Electrical impedance tomography; Inverse problem; Method of fundamental solutions

Indexed keywords

CONSTRAINED MINIMIZATION; CURRENT FLUX; ELECTRICAL IMPEDANCE TOMOGRAPHY INVERSE PROBLEMS; INVERSE CONDUCTIVITY PROBLEM; METHOD OF FUNDAMENTAL SOLUTIONS; NUMERICAL SCHEME; NUMERICAL SOLUTION; RANDOM NOISE; REGULARIZED METHOD; SIMPLE METHOD;

EID: 77952383779     PISSN: 17415977     EISSN: 17415985     Source Type: Journal    
DOI: 10.1080/17415971003675019     Document Type: Article
Times cited : (29)

References (27)
  • 1
    • 0036904346 scopus 로고    scopus 로고
    • Electrical impedance tomography
    • L. Borcea, Electrical impedance tomography, Inverse Probl. 18 (2002), pp. R99-R136.
    • (2002) Inverse Probl , vol.18
    • Borcea, L.1
  • 3
    • 0010962082 scopus 로고    scopus 로고
    • Recent progress in the inverse conductivity problem with single measurement
    • G. Nakamura, S. Saitoh, J.K. Seo, and M. Yamamoto, eds., Chapman & Hall/CRC, New York
    • H. Kang and J.K. Seo, Recent progress in the inverse conductivity problem with single measurement, in Inverse Problems and Related Topics, G. Nakamura, S. Saitoh, J.K. Seo, and M. Yamamoto, eds., Chapman & Hall/CRC, New York, 2000, pp. 69-80.
    • (2000) Inverse Problems and Related Topics , pp. 69-80
    • Kang, H.1    Seo, J.K.2
  • 4
    • 69949111285 scopus 로고    scopus 로고
    • An Introduction to Mathematics of Emerging Biomedical Imaging
    • Springer-Verlag, Berlin
    • H. Ammari, An Introduction to Mathematics of Emerging Biomedical Imaging, Mathematiques & Applications, Vol. 62, Springer-Verlag, Berlin, 2008.
    • (2008) Mathematiques & Applications , vol.62
    • Ammari, H.1
  • 5
    • 18144380854 scopus 로고    scopus 로고
    • Reconstruction of Small Inhomogeneities from Boundary Measurements
    • Springer-Verlag, Berlin
    • H. Ammari and H. Kang, Reconstruction of Small Inhomogeneities from Boundary Measurements, Lecture Notes in Mathematics, Vol. 1846, Springer-Verlag, Berlin, 2004.
    • (2004) Lecture Notes In Mathematics , vol.1846
    • Ammari, H.1    Kang, H.2
  • 6
    • 84941785898 scopus 로고    scopus 로고
    • Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory
    • Springer-Verlag, New York
    • H. Ammari and H. Kang, Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory, Applied Mathematical Sciences, Vol. 162, Springer-Verlag, New York, 2007.
    • (2007) Applied Mathematical Sciences , vol.162
    • Ammari, H.1    Kang, H.2
  • 7
    • 16244384993 scopus 로고    scopus 로고
    • Anomaly detection in T-scans trans-admittance imaging system
    • H. Ammari, O. Kwon, J.K. Seo, and E.J. Woo, Anomaly detection in T-scans trans-admittance imaging system, SIAM J. Appl. Math. 65 (2004), pp. 252-266.
    • (2004) SIAM J. Appl. Math , vol.65 , pp. 252-266
    • Ammari, H.1    Kwon, O.2    Seo, J.K.3    Woo, E.J.4
  • 8
    • 0036133594 scopus 로고    scopus 로고
    • A real-time algorithm for the location search of discontinuous conductives with one measurement
    • K. Kwon, J.K. Seo, and J.R. Yoon, A real-time algorithm for the location search of discontinuous conductives with one measurement, Comm. Pure Appl. Math. 55 (2002), pp. 1-29.
    • (2002) Comm. Pure Appl. Math , vol.55 , pp. 1-29
    • Kwon, K.1    Seo, J.K.2    Yoon, J.R.3
  • 9
    • 33745623635 scopus 로고    scopus 로고
    • 3D direct inversion algorithm for electrical impedance underground anomaly detection with dual reciprocity boundary element modeling
    • Y.Y. Kagawa, W. Xu, Y. Zhao, T. Horikane, N. Wakatsuki, and H. Totsuji, 3D direct inversion algorithm for electrical impedance underground anomaly detection with dual reciprocity boundary element modeling, Inverse Probl. Sci. Eng. 14 (2006), pp. 639-650.
    • (2006) Inverse Probl. Sci. Eng , vol.14 , pp. 639-650
    • Kagawa, Y.Y.1    Xu, W.2    Zhao, Y.3    Horikane, T.4    Wakatsuki, N.5    Totsuji, H.6
  • 10
    • 38349044379 scopus 로고    scopus 로고
    • Integral representations in electrical impedance tomography using boundary integral operators
    • K. Kwon, Integral representations in electrical impedance tomography using boundary integral operators, J. Korean Math. Soc. 45 (2008), pp. 97-119.
    • (2008) J. Korean Math. Soc , vol.45 , pp. 97-119
    • Kwon, K.1
  • 11
    • 0022490545 scopus 로고
    • Boundary element iterative techniques for determining the interface boundary between two Laplace domains - A basic study of impedance plethysmography as an inverse problem
    • T. Murai and Y. Kagawa, Boundary element iterative techniques for determining the interface boundary between two Laplace domains - A basic study of impedance plethysmography as an inverse problem, Inter. J. Numer. Methods Eng. 23 (1986), pp. 35-47.
    • (1986) Inter. J. Numer. Methods Eng , vol.23 , pp. 35-47
    • Murai, T.1    Kagawa, Y.2
  • 12
    • 0033625606 scopus 로고    scopus 로고
    • The boundary element method in the forward and inverse problems of electrical impedance tomography
    • J.C. de Munck, T.J.C. Faes, and R.M. Heethaar, The boundary element method in the forward and inverse problems of electrical impedance tomography, IEEE Trans. Biomed. Eng. 47 (2000), pp. 792-800.
    • (2000) IEEE Trans. Biomed. Eng , vol.47 , pp. 792-800
    • de Munck, J.C.1    Faes, T.J.C.2    Heethaar, R.M.3
  • 13
    • 77952366615 scopus 로고    scopus 로고
    • The method of fundamental solutions for detection of cavities in EIT
    • D. Borman, D.B. Ingham, B.T. Johansson, and D. Lesnic, The method of fundamental solutions for detection of cavities in EIT, J. Integral Eqns Appl. 21 (2009), pp. 381-404.
    • (2009) J. Integral Eqns Appl , vol.21 , pp. 381-404
    • Borman, D.1    Ingham, D.B.2    Johansson, B.T.3    Lesnic, D.4
  • 14
    • 70349750097 scopus 로고    scopus 로고
    • Detection of cavities using the method of fundamental solutions
    • A. Karageorghis and D. Lesnic, Detection of cavities using the method of fundamental solutions, Inverse Probl. Sci. Eng. 17 (2009), pp. 803-820.
    • (2009) Inverse Probl. Sci. Eng , vol.17 , pp. 803-820
    • Karageorghis, A.1    Lesnic, D.2
  • 16
    • 0032344733 scopus 로고    scopus 로고
    • The method of fundamental solutions for elliptic boundary value problems
    • G. Fairweather and A. Karageorghis, The method of fundamental solutions for elliptic boundary value problems, Adv. Comput. Math. 9 (1998), pp. 69-95.
    • (1998) Adv. Comput. Math , vol.9 , pp. 69-95
    • Fairweather, G.1    Karageorghis, A.2
  • 17
    • 0000776101 scopus 로고    scopus 로고
    • The method of fundamental solutions for potential, Helmholtz and diffusion problems
    • of Computational Engineering, M.A. Golberg, ed., WIT Press, Boston, MA
    • M.A. Golberg and C.S. Chen, The method of fundamental solutions for potential, Helmholtz and diffusion problems, in Boundary Integral Methods: Numerical and Mathematical Aspects, Vol. 1 of Computational Engineering, M.A. Golberg, ed., WIT Press, Boston, MA, 1999, pp. 103-176.
    • (1999) Boundary Integral Methods: Numerical and Mathematical Aspects , vol.1 , pp. 103-176
    • Golberg, M.A.1    Chen, C.S.2
  • 18
    • 0005178854 scopus 로고
    • The method of fundamental solutions for the solution of steady-state free boundary problems
    • A. Karageorghis, The method of fundamental solutions for the solution of steady-state free boundary problems, J. Comput. Phys. 98 (1992), pp. 119-128.
    • (1992) J. Comput. Phys , vol.98 , pp. 119-128
    • Karageorghis, A.1
  • 19
    • 0033588427 scopus 로고    scopus 로고
    • The method of fundamental solutions for heat conduction in layered materials
    • J.R. Berger and A. Karageorghis, The method of fundamental solutions for heat conduction in layered materials, Int. J. Numer. Meth. Eng. 45 (1999), pp. 1681-1694.
    • (1999) Int. J. Numer. Meth. Eng , vol.45 , pp. 1681-1694
    • Berger, J.R.1    Karageorghis, A.2
  • 20
    • 0000678579 scopus 로고
    • The approximate solution of elliptic boundary-value problems by fundamental solutions
    • R. Mathon and R.L. Johnston, The approximate solution of elliptic boundary-value problems by fundamental solutions, SIAM J. Numer. Anal. 14 (1977), pp. 638-650.
    • (1977) SIAM J. Numer. Anal , vol.14 , pp. 638-650
    • Mathon, R.1    Johnston, R.L.2
  • 21
    • 36048958473 scopus 로고    scopus 로고
    • Some remarks concerning the shape of the source contour with application of the method of fundamental solutions to elastic torsion of prismatic rods
    • P. Gorzelanczyk and J.A. Kolodziej, Some remarks concerning the shape of the source contour with application of the method of fundamental solutions to elastic torsion of prismatic rods, Eng. Anal. Boundary Elem. 32 (2008), pp. 64-75.
    • (2008) Eng. Anal. Boundary Elem , vol.32 , pp. 64-75
    • Gorzelanczyk, P.1    Kolodziej, J.A.2
  • 22
    • 77952402671 scopus 로고    scopus 로고
    • Numerical Algorithms Group Library Mark 21, NAG(UK) Ltd, Wilkinson House, Jordan Hill Road, Oxford, UK (2007)
    • Numerical Algorithms Group Library Mark 21, NAG(UK) Ltd, Wilkinson House, Jordan Hill Road, Oxford, UK (2007).
  • 23
    • 33646130396 scopus 로고    scopus 로고
    • Some comments on the ill-conditioning of the method of fundamental solutions
    • C.S. Chen, H.A. Cho, and M.A. Golberg, Some comments on the ill-conditioning of the method of fundamental solutions, Eng. Anal. Boundary Elem. 30 (2006), pp. 405-410.
    • (2006) Eng. Anal. Boundary Elem , vol.30 , pp. 405-410
    • Chen, C.S.1    Cho, H.A.2    Golberg, M.A.3
  • 25
    • 0001847248 scopus 로고    scopus 로고
    • A numerical investigation of the inverse potential conductivity problem in a circular inclusion, Inverse Probl
    • D. Lesnic, A numerical investigation of the inverse potential conductivity problem in a circular inclusion, Inverse Probl. Eng. 9 (2001), pp. 1-17.
    • (2001) Eng , vol.9 , pp. 1-17
    • Lesnic, D.1
  • 26
    • 33947416683 scopus 로고    scopus 로고
    • Nonlinear integral equations for the inverse electrical impedance problem
    • H. Eckel and R. Kress, Nonlinear integral equations for the inverse electrical impedance problem, Inverse Probl. 23 (2007), pp. 475-491.
    • (2007) Inverse Probl , vol.23 , pp. 475-491
    • Eckel, H.1    Kress, R.2
  • 27
    • 33846110386 scopus 로고    scopus 로고
    • Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks
    • O. Ivanyshyn and R. Kress, Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks, J. Integral Eqns. Appl. 18 (2006), pp. 13-38.
    • (2006) J. Integral Eqns. Appl , vol.18 , pp. 13-38
    • Ivanyshyn, O.1    Kress, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.