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Articles

Numerical reconstruction of an inhomogeneity in an elliptic equation

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Pages 184-198 | Received 05 Jul 2013, Accepted 05 Jul 2013, Published online: 06 Aug 2013

References

  • Lin C-N, Jang J-Y. A two-dimensional fin efficiency analysis of combined heat and mass transfer in elliptic fins. Int. J. Heat Mass Transfer. 2002;45:3839–3847.
  • Fang W, Cumberbatch E. Inverse problems for metal oxide semiconductor field-effect transistor contact resistivity. SIAM J. Appl. Math. 1992;52:699–709.
  • Isakov V, Inverse obstacle problems, Inverse Probl. 2009;25:123002 (pp. 18).
  • Kang H, Kwon K, Yun K. Recovery of an inhomogeneity in an elliptic equation. Inverse Probl. 2001;17:25–44.
  • Hettlich F, Rundell W. Recovery of the support of a source term in an elliptic differential equation. Inverse Probl. 1997;13:959–976.
  • Kim S, Yamamoto M. Uniqueness in identification of the support of a source term in an elliptic equation. SIAM J. Math. Anal. 2003;35:148–159.
  • Kim S. Uniqueness determination of inhomogeneity in an elliptic equation. Inverse Probl. 2002;18:1325–1332.
  • Bin-Mohsin B, Lesnic D. Determination of inner boundaries in modified Helmholtz inverse geometric problems using the method of fundamental solutions. Math. Comput. Simulation. 2012;82:1445–1458.
  • Lesnic D, Bin-Mohsin B. Inverse shape and surface heat transfer coefficient identification. J. Comput. Appl. Math. 2012;236:1876–1891.
  • Karageorghis A, Lesnic D, Marin L. Survey of applications of the MFS to inverse problems. Inverse Probl. Sci. Eng. 2011;19:309–336.
  • Bin-Mohsin B, Lesnic D. The method of fundamental solutions for Helmholtz-type equations in composite materials. Comput. Math. Appl. 2011;62:4377–4390.
  • Belge M, Kilmer ME, Miller EL. Efficient determination of multiple regularisation parameters in a generalized L-curve framework. Inverse Probl. 2002;18:1161–1183.
  • Ikehata M. Reconstruction of a source domain from the Cauchy data. Inverse Probl. 1999;15:637–645.

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