Solution to an inverse problem in diffusion

SIAM Review

Volumn 40, Issue 1, 1998, Pages 74-80

  Nievergelt, Yves ^a  

^a EASTERN WASHINGTON UNIVERSITY   (United States)

Author keywords

Absorption; Closed form solution; Diffusion; Inverse problem

Indexed keywords

ABSORPTION; DIFFUSION; PROBLEM SOLVING;

CLOSED FORM SOLUTION;

INVERSE PROBLEMS;

EID: 0032011038     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003614459630757X     Document Type: Article

References (18)

1. J. BEE BEDNAR, L. R. LINES, R. H. STOLT, AND A. B. WEGLEIN, Geophysical Inversion, SIAM, Philadelphia, PA, 1992.
2. C. A. BERENSTEIN AND E. C. TARABUSI, Integral geometry in hyperbolic spaces and electrical impedance tomography, SIAM J. Appl. Math., 56 (1996), pp. 755-764.
3. K. BRYAN AND L. F. CAUDILL, JR., An inverse problem in thermal imaging, SIAM J. Appl. Math., 56 (1996), pp. 715-735.
4. D. COLTON, R. EWING, AND W. RUNDELL, Inverse Problems in Partial Differential Equations, SIAM, Philadelphia, PA, 1990.
5. H. W. ENGL AND W. RUNDELL, Inverse Problems in Diffusion Processes, SIAM, Philadelphia, PA, 1995.
6. R. E. EWING, The Mathematics of Reservoir Simulation, SIAM, Philadelphia, PA, 1983.
7. R. E. EWING, Problems arising in the modeling of processes for hydrocarbon recovery, in [6], pp. 3-24.
8. W. E. FITZGIBBON, Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling, SIAM, Philadelphia, PA, 1986.
9. S. P. HUESTIS, Smallest nonnegative solutions to linear inverse problems, SIAM Rev., 34 (1992), pp. 642-647.
10. C. C. LIN AND L. A. SEGEL, Mathematics Applied to Deterministic Problems in the Natural Sciences, SIAM, Philadelphia, PA, 1988.
11. J. MACBAIN AND B. SECREST, Source identification in remote sensing problems, SIAM Rev., 33 (1991), pp. 109-113.
12. M. S. PILANT AND W. RUNDELL, Undetermined coefficient problems for quasilinear parabolic problems, in [4], pp. 165-185.
13. T. F. RUSSEL AND M. F. WHEELER, Finite element and finite difference methods for continuous flows in porous media, in [6], pp. 35-106.
14. F. SANTOSA, Y.-H. PAO, W. W. SYMES, AND C. HOLLAND, Inverse Problems of Acoustic and Elastic Waves, SIAM, Philadelphia, PA, 1984.
15. B. G. SECREST AND J. MACBAIN, Source identification in remote sensing problems, in [1], pp. 437-444.
16. J. SYLVESTER, D. WINEBRENNER, AND F. GYLYS-COLWELL, Layer stripping for the Helmholtz equation, SIAM J. Appl. Math., 56 (1996), pp. 736-754.
17. G. VAINIKKO, Inverse problems of ground water filtration: Identifiability, discretization and regularization, in [5], pp. 90-107.
18. A. B. WEGLEIN AND B. SECREST, Source signature identification for a multidimensional acoustic or elastic earth, in [1], pp. 427-436.