A protective method for an inverse source problem of the Poisson equation

Inverse Problems

Volumn 19, Issue 2, 2003, Pages 355-369

  Nara, Takaaki ^a   Ando, Shigeru ^b  

^a NATIONAL INSTITUTE OF INFORMATICS   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS; POISSON EQUATION;

PROJECTIVE METHODS;

INVERSE PROBLEMS;

EID: 0037387913     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/19/2/307     Document Type: Article

References (17)

1. Chaflk M, El-Badia A and Ha-Duong T 2000 On some inverse EEG problems Inverse Problems in Engineering Mechanics vol 2, ed M Tanaka and G S Dulikravich (Amsterdam: Elsevier) pp 537-44
2. El-Badia A and Ha-Duong T 2000 An inverse source problem in potential analysis Inverse Problems 16 651-63
3. Geselowitz D B 1960 Multipole representation for an equivalent cardiac generator Proc. IRE 48 75-9
4. Gulrajani R M. Pham-Huy H, Nadeau R A, Savard P, de Guise J, Primeau R E and Roberge F A 1984 Application of the single moving dipole inverse solution to the study of the Wolff-Parkinson-White syndrome in man J. Electrocardiol. 17 271-87
5. Hämäläinen M, Hari R, Ilmoniemi R J, Knuutila J and Lounasmaa O V 1993 Magnetoencephalography theory, instrumentation, and applications to noninvasive studies of the working human brain Rev. Mod. Phys. 65 413-97
6. He B, Musha T, Okamoto Y, Homma S, Nakajima Y and Sato T 1987 Electric dipole tracing in the brain by means of the boundary element method and its accuracy IEEE Trans. Biomed. Eng. 34 406-14
7. He S and Romanov V G 1998 Identification of dipole sources in a bounded domain for Maxwell's equations Wave Motion 28 25-40
8. Hobson E W 1931 The Theory of Spherical and Ellipsoidal Harmonics (Cambridge: Cambridge University Press)
9. Ioannides A A, Bolton J P R and Clarke C J S 1990 Continuous probabilistic solutions to the biomagnetic inverse problem Inverse Problems 6 523-42
10. Johnston P (ed) 2001 Computational inverse problems in electrocardiography (Southampton: WIT Press)
11. Kavanagh R N, Darcey T M, Lehmann D and Fender D H 1978 Evaluation of methods for three-dimensional localization of electrical sources in the human brain IEEE Trans. Biomed. Eng. 25 421-9
12. Nenonen J, Katila T, Leiniö M, Montonen J, Mäkijärvi M and Siltanen P 1991 Magnetocardiographic functional localization using current multipole models IEEE Trans. Biomed. Eng. 38 648-58
13. Ohe T and Ohnaka K 1994 A precise estimation method for locations in an inverse logarithmic potential problem for point mass models Appl. Math. Modelling 18 446-52
14. Ohe T and Ohnaka K 1995 An estimation method for the number of point masses in an inverse logarithmic potential problem using discrete Fourier transform Appl. Math. Modelling 19 429-36
15. Ohnaka K and Uosaki K 1989 Boundary element approach for identification of point forces of distributed parameter systems Int. J. Control 49 119-27
16. Yamatani K and Ohnaka K 1996 A reliable estimation method for locations of point sources for an n-dimensional Poisson equation Appl. Math. Modelling 20 814-22
17. Zidarov D 1990 Inverse Gravimetric Problem in Geoprospecting and Geodesy (Amsterdam: Elsevier)