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Inverse Problems in Science and Engineering Volume 13, 2005 - Issue 4
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Original Articles

Inverse source identification for Poisson equation

Leevan Linga Department of Mathematical Sciences, University of Tokyo, Japan
,
Y. C. Honb Department of Mathematics, City University of Hong Kong, Hong Kong
&
M. Yamamotoa Department of Mathematical Sciences, University of Tokyo, Japan
Pages 433-447 | Received 01 Mar 2005, Published online: 26 Jan 2007

  • Alves, , Carlos, JS, Abdallah, , Jalel Ben, , Mohamed, , and Jaoua, , 2004. Recovery of cracks using a point-source reciprocity gap function, Inverse Problems in Science and Engineering 12 (5) (2004), pp. 519–534.
  • Andrieux, , Stéphane, , Ben Abda, , and Amel, , 1996. Identification of planar cracks by complete overdetermined data: inversion formulae, Inverse Problems 12 (5) (1996), pp. 553–563.
  • Barry, JM, 1998. Heat Source Determination in Waste Rock Dumps. River Edge, NJ. 1998. p. pp. 83–90, Papers from the 8th Biennial Conference held at the University of Adelaide, Adelaide, September 29–October 1, 1997.
  • Frankel, JI, 1996. Residual-minimization least-squares method for inverse heat conduction, Computers & Mathematics with Applications 32 (4) (1996), pp. 117–130.
  • Kriegsmann, GA, and Olmstead, WE, 1988. Source identification for the heat equation, Applied Mathematics Letters 1 (3) (1988), pp. 241–245.
  • Magnoli, N, and Viano, GA, 1997. The source identification problem in electromagnetic theory, Journal of Mathematical Physics 38 (5) (1997), pp. 2366–2388.
  • Frankel, JI, 1996. Constraining inverse Stefan design problems, Zeitschrift fur Angewandte Mathematik und Physik 47 (3) (1996), pp. 456–466.
  • Anikonov, Yu.E, Bubnov, BA, and Erokhin, GN, 1997. "Inverse and Ill-posed Problems Series". In: Inverse and Ill-posed Sources Problems. Utrecht. 1997.
  • Isakov, , and Victor, , 1990. "Mathematical Surveys and Monographs". In: Inverse Source Problems. Vol. 34. Providence, RI. 1990.
  • Badia, AEl, and Ha Duong, T, 1998. Some remarks on the problem of source identification from boundary measurements, Inverse Problems 14 (4) (1998), pp. 883–891.
  • Engl, , Heinz, W, Hanke, , Martin, , Neubauer, , and Andreas, , 1996. "Regularization of inverse problems". In: In: Mathematics and its Applications. Vol. 375. Dordrecht. 1996.
  • Nara, , Takaaki, , Ando, , and Shigeru, , 2003. A projective method for an inverse source problem of the Poisson equation, Inverse Problems 19 (2) (2003), pp. 355–369.
  • Strakhov, VN, and Brodsky, MA, 1986. On the uniqueness of the inverse logarithmic potential problem, SIAM Journal on Applied Mathematics 46 (2) (1986), pp. 324–344.
  • Shigeta, , Takemi, , and Hon, YC, 2003. "Numerical source identification for Poisson equation". In: Engineering Mechanics IV. Nagano, Japan. 2003. p. pp. 137–145, In: M. Tanaka (Ed.).
  • Hon, YC, and Wu, Z, September 2000. A numerical computation for inverse boundary determination problem, Engineering Analysis with Boundary Elements 24 (7–8) (September 2000), pp. 599–606.
  • Alves, CJS, Chen, CS, and Săfler, B, 2002. "The method of fundamental solutions for solving Poisson problems". In: Boundary Elements, XXIV (Sintra, 2002) Advances in Boundary Elements. Vol. 13. Southampton. 2002. p. pp. 67–76, In: Brebbia, C.A., Tadell, A. and Popov, V. (eds.).
  • Kansa, EJ, 1990. Multiquadrics – a scattered data approximation scheme with applications to computational fluid-dynamics. I. Surface approximations and partial derivative estimates, Computers & Mathematics with Applications 19 (8–9) (1990), pp. 127–145.
  • Ling, L, and Schaback, R, 2004. "On adaptive unsymmetric meshless collocation". In: Proceedings of the 2004 International Conference on Computational & Experimental Engineering & Sciences. Forsyth, USA. 2004.
  • Hansen, , and Per Christian, , 1994. Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems, Numerical Algorithms 6 (1–2) (1994), pp. 1–35.
  • Fedoseyev, AI, Friedman, MJ, and Kansa, EJ, 2002. Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary, Computers & Mathematics with Applications 43 (3–5) (2002), pp. 439–455.

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